a skier of mass m starts from rest at the top of a solid sphere of radius r and slides down its frictionless surface. (a) aat what angle will the skier leave the sphere? (b) if friction were present, would the skier fl off at a freater or lesser angle?

Answers

Answer 1

A skier of mass m starts from rest at the top of a solid sphere of radius r and slides down its frictionless surface.

The net force on the skier in the radial direction must be equal to the centripetal force in order to sustain circular motion.

[tex]$F_{\mathrm{radial}}=\frac{m v^2}{r}$[/tex]

where [tex]v[/tex] denotes the skier's tangential instantaneous speed. Gravity and the normal force are the two forces at work on the skier. While the gravitational force is constantly radially outward, the normal force is always dependent on the angle [tex]\theta[/tex]. Therefore, the net force in the radial direction is, if the skier is at an angle of [tex]\theta[/tex] down the sphere.

[tex]$F_{\text {radial }}=m g \cos \theta-N$[/tex]

where N is the normal force's magnitude. When these two equations are combined, we get,

[tex]$\frac{m v^2}{r}=m g \cos \theta-N$[/tex]

Using the principle of energy conservation, we now substitute v with values we already know. The loss of potential energy equals the increase in kinetic energy, which on a sphere is written as,

[tex]$\frac{1}{2} m v^2=m g r(1-\cos \theta)$[/tex]

As the skier begins at rest, there is no kinetic energy at the top of the sphere. After removing [tex]v^2[/tex], we are left with the equation,

[tex]$2 m g(1-\cos \theta)=m g \cos \theta-N$[/tex]

Quantifying the situation when the skier exits the sphere is the last aspect of the issue. We can see that when theta equals 0, we get N = mg, which means that the normal force acting on the skier precisely balances the force of gravity. N decreases as the skier descends the sphere's surface, balancing the equation until it equals zero at a certain angle. This occurs precisely when,

[tex]$2 m g(1-\cos \theta)=m g \cos \theta$[/tex]

The skier is no longer in contact with the sphere when the normal force acting on the skier is zero, as the sphere no longer exerts any force on the skier. This is assumed to be the prerequisite for the skier to leave the ground.

After calculating [tex]\theta[/tex], we have,

[tex]$2 m g=3 m g \cos \theta$[/tex]

[tex]$\Longrightarrow \theta=\cos ^{-1}(2 / 3) \approx 48.19^{\circ}$[/tex]

First, we can note that this response is unaffected by the physical parameters m, r, and g. No matter how heavy he is, how huge the sphere is, or how powerful gravity is, the skier will exit the sphere at the same angle.

However, we will discover from dimensional analysis that this independence is actually not all that remarkable. Consider the units of the variables we've provided,

[tex]$[m]=$ kilograms,$\quad[r]=$ meters,$\quad[g]=$ meters $\cdot$ seconds $^{-2}$[/tex]

Any algebraic statement containing m, r, and g cannot be transformed into a dimensionless quantity. As a result, we draw the conclusion that the solution to our problem cannot depend on these values as an angle is a dimensionless quantity.

Learn more about Rest here:

https://brainly.com/question/26235448

#SPJ4


Related Questions

A mass of 0.343 kg moves down a 5 meter ramp in 5.8 seconds. What is its velocity and kinetic energy

Answers

According to the given information the velocity is .0148 m/s2 and the kinetic energy is 3.78 J.

What is the straightforward meaning of velocity?

The movement that an item or particle experiences with regard to time is expressed vectorially as velocity. One metre per second (m/s) is the accepted unit of flow speed (also known as speed).

What does velocity in SI mean?

The metric speed unit is the meter per minute (m/s). A different way to express velocity magnitude is in centimeters per second (cm/s).

vilocity = 5/(5.8×5.8)

            = 0.148

kinetic energy = 1/2mv^2

                        = 1/2 × (0343 × 0.148×0.148)

                        = 3.78 J

To know more about velocity visit:

brainly.com/question/18084516

#SPJ4

Two identical traveling waves, moving in the same direction, are out of phase by p/2 rad. What is the amplitude of the resultant wave in

Answers

the amplitude of the resultant is the amplitude of the two original waves times 1.85.

What transpires to the original two waves once they generate a new wave?

The waves add together as a result, and the amplitude at any place is equal to the sum of the amplitudes of the individual waves at that point.

What frequency does the sum of two waves produce?

The frequency of the wave produced by the superposition of two waves with comparable frequencies is equal to the average of the two. This wave's amplitude changes or beats at a frequency known as the beat frequency. By mathematically combining two waves, we can find the beat frequency.

To know more about the resultant wave visit:

brainly.com/question/3893031

#SPJ4

a boy pushes forward a cart of groceries with the total mass of 45kg. What is the acceleration of the cart if the net force on the cart is

Answers

If the net force on the cart is 66.0 N, the acceleration of the cart is 1.46 m/[tex]s^{2}[/tex] .

How do you calculate mass given acceleration and force?

The formula used in the second law of motion to explain the connections between force, mass, and acceleration is Mass + acceleration equals force. F = ma Calculating force in Newtons (N), mass in kilograms (kg), and acceleration in meters per second squared (m/s2) may all be done using this formula.

It is show that,

Mass of cart, m = 45 kg

Net force acting on cart, F = 66 N

Let a represent the rate of acceleration of the cart being pushed. Using Newton's second rule of motion, it can be calculated as follows:

F = ma

a = F/m

a = 66 N/45 Kg

a = 1.46 m/[tex]s^{2}[/tex]

So, the acceleration of cart is  = 1.46 m/[tex]s^{2}[/tex] .

To know more about acceleration visit:

brainly.com/question/2303856

#SPJ4

Jocelyn stood in the middle of a trampoline causing the springs around the edge to stretch. Her identical twin, Jennifer, who has the same mass, joined her in the center of the trampoline Which statement best describes the effect this had on the springs? A The springs maintained the same amount of displacement B The springs stretched to double the original displacement, C The spring displacement reduced to half of the original displacement

Answers

B. The springs stretched to double the original displacement, is the the statement that best describe the effect this had on the springs.

What is displacement?

The displacement is the shortest distance in geometry and mechanics between the initial and final positions of a point P. From the starting position to the ending position of the point trajectory, it measures the length and direction of the net motion, or total motion, in a straight line. A displacement can be discovered by using the translation that joins the starting point and ending point.

Another way to define a displacement as a relative position is the relationship between a point's final position, or xf, and its starting position, or xi (resulting from motion). The corresponding displacement vector can be defined by the difference between the starting and final positions:

                                            [tex]$ s=x_{\textrm {f}}-x_{\textrm {i}}=\Delta {x}}$[/tex]

Learn more about displacement

https://brainly.com/question/11934397

#SPJ4

How does kinetic energy play a role in phase change?

Answers

During phase shift, the substance's molecules' average kinetic energy remains constant.

How does kinetic energy affect phase change?

Simply put, molecules move more quickly as kinetic energy rises. Nevertheless, molecules change phases when potential energy rises. The molecule changes phases as a result of an increase in potential energy.

In a phase change, matter moves from one state to another either by gaining energy through heat and entering a more energetic state, or by losing energy through heat and entering a state with lower energy.

The energy supplied during phase change is only used to separate the molecules; none of it is used to boost the kinetic energy of the molecules. Therefore, since the molecules' kinetic energy is constant, its temperature won't increase.

To learn more about kinetic energy refer to:

https://brainly.com/question/26472013

#SPJ4

If the separation is decreased to 1.90 mm , what is the energy now stored if the capacitor was disconnected from the potential source before the separation of the plates was changed

Answers

When the distance between the plates is decreased to 1.90 mm, the capacitance of the capacitor will increase and the energy stored in the capacitor will also increase.

However, since the voltage across the plates is not given, it is not possible to calculate the energy stored in the capacitor after the separation of the plates has been changed

The below equation gives the capacitance of a parallel-plate capacitor.

C = ε * A / d

Where ε is the dielectric constant of the material between the plates, A is the area of the plates and d is the distance between the plates.

The energy stored in a capacitor is given by the equation:

Energy = 1/2 * C * V^2

where V is the voltage across the plates and C is the capacitance

To know more about a parallel-plate capacitor refer to:

brainly.com/question/14746425

 

#SPJ4

Two objects with negative charges of 6.2 nC each are separated by 0.3 m. What is the size and direction of the force between the two charges?

Answers

The force between the charges are [tex]3844*10^{3} N[/tex]

Before we try to calculate Coulomb's law for forces between multiple charges, we need to understand Coulomb's force between two charged particles. Coulomb’s law or Coulomb’s inverse square law was discovered in 1785 by French physicist Charles-Augustin de Coulomb. The experimentally proven law quantifies the force exerted by a static charged particle on another static charged particle.Assume two static charged particles with a charge of ‘q1’ and ‘q2’ respectively. The force exerted by one particle on the other, if they are separated by a distance of ‘r’ between their centers is given by:

                                              [tex]F = kQq/r^{2}[/tex]

Given, Q = q = 6.2 mC = [tex]6.2 * 10^{-3}[/tex]

           r = distance = 0.3m

           k = constant = [tex]9*10^{9}[/tex]

Putting these values in above equation we get F = [tex]3844*10^{3} N[/tex]

To know more about charges visit:

https://brainly.com/question/28984168

#SPJ1

Think of another topic in science that would lend itself to creating a word web. What is the main topic and list six subtopics you would include under it. You could use a whole subject area like chemistry or the desert. Pick a topic you know something about. Help me with this please

Answers

The study of computers and computing, encompassing the theoretical and algorithmic underpinnings, hardware and software, and applications for information processing, is known as computer science.

Uses and advantages:

The study of algorithms and data structures, computer and network design, the modelling of data and information processes, and artificial intelligence are all included in the field of computer science. Since mathematics and engineering provide some of the underpinnings for computer science, it integrates concepts from those fields as well as queueing theory, probability and statistics, and electrical circuit design. As new algorithms, information structures, and computer architectures are conceptualised, designed, measured, and improved in computer science, extensive use of hypothesis testing and experimentation is also used.

Computer science is regarded as one of five distinct but related fields, including computer engineering, information systems,  information technology, and software engineering. This family has come to be known collectively as the discipline of computing.

To learn more about computer science visit:

brainly.com/question/20837448

#SPJ4

A sound wave generated by a musical note has the characteristics presented in the table. What is the missing value?

Air 346 55 6. 3

Glass 5,640 55 102

Brass 4,700 55 ?



A.

112

B.

100

C.

85

D.

98

Answers

The missing value is D. 98

The table provides information about the speed (m/s), frequency (Hz), and wavelength (m) of a sound wave generated by a musical note, in different mediums (air, glass, and brass). The frequency of the sound wave is constant across the three mediums, but the speed and wavelength will vary depending on the medium. Since we know the frequency and wavelength, we can use the formula:

Speed = Frequency x Wavelength

to find the missing value of the speed of the sound wave in brass.

4,700 = 55 x Wavelength

Wavelength = 4,700/55 = 85.818...

So the missing value is 98 (approximately) in the table.

Learn more about sound waves here: https://brainly.com/question/1199084

#SPJ4

Which of the following is NOT considered crucial for life to exist on some world?
A. Liquid water
B. At atmosphere
C. Source of nutrients
D. Source of energy that can be used by life

Answers

Answer

Atmosphere is not required in some world

It took the bike messenger 36 minutes to ride from the school to the blue house. If they are 2160 meters apart, what was the messenger's velocity

Answers

The bike messenger's velocity will be 1 m/s.

Given as per the question is,

Distance between school and the blue house is 2160 meters

Time taken by the bike messenger is 36 minutes

Velocity is to be calculated.

Converting minutes into seconds,

36 minutes = 36 X 60 = 2160 seconds.

Velocity of an object can be calculated by the formula as,

Velocity = Distance/ Time

Substituting the values as per the formula above,

Velocity = 2160/2160 = 1 m/s

Learn more about velocity:

brainly.com/question/29519833

#SPJ4

What factors interact with one another to keep a satellite in orbit. Describe two physics concepts and the effects each has on satellite orbit.

Answers

Two physics concepts that interact with one another to keep a satellite in orbit are the gravitational force and the centrifugal force.

The apparent outward force that a rotating mass experiences is known as centrifugal force. Imagine a ball being whirled around on a string or the outward motion you experience when driving around a curve. Since the system is not rotating in an inertial frame, there is no outward acceleration. The ball or your body just continues to go in the same direction that they did at first. However, they seem to be accelerating away in the rotating reference frame of the string or the car. The direction of centrifugal force is always outward and away from the axis because the Earth revolves around a fixed axis. Thus, in the equator and at the poles of the Earth, it is the opposite of the direction of gravity.It is zero at the poles of the Earth.

One of the four fundamental forces of the universe is gravity. A centripetal force is necessary in nonlinear motions like the planetary motion. In the study of disciplines like astronomy, physics, space exploration, cosmology, and many others, both of these forces are crucial.

Learn more about gravitational force here :

brainly.com/question/12528243

#SPJ4

Which of the following is the law of action-reaction?
OA. Newton's first law
B. Newton's second lav
OC. Newton's third law
OD. Newton's fourth law

Answers

Answer:

OC.Newton's third law of motion which states that,"every action has equal and opposite reaction."

*mark me brainliest

When a satellite is a distance R from the center of the Earth, the force of gravity on the satellite is F. What is the gravitational force on the satellite when its distance from the center of the Earth is 3R

Answers

When a satellite is 3R from Earth's center, its gravitational force is equal to F/9.

What do you mean by gravitational force?

Any pair of mass-containing objects will gravitationally pull toward one another. It mentions the gravitational force. The force will always applied along the line joining the two mass in the direction of the second mass, based on the formula F=Gm1m2r2.

Given  that the foece on the satellite due to earth gravity is F

(At a distance R from center of Earth)

Initial separation between the satallite and Earth is R

Final separation between the satallite and Earth is 3R

The force on the satallite due to earth is

F= [tex]\frac{GMm}{r^{2} }[/tex]

Here M is mass of earth and m is mass of satellite

if the distance between satellite and earth changed to 3R

the force on the satellite due to earth is

F'=[tex]\frac{GMm}{3R^{2} }[/tex]

F'=[tex]\frac{GMm}{9R^{2} }[/tex]

F'=F/9

To know more about gravitational force visit:

brainly.com/question/12528243

#SPJ4

the driver of a 2000 kg car moving at 30 m/s presses on the break pedal. If the braking force is 10000 N, how far does the car travel before stopping

Answers

If the braking force is 10000 N, 90 meters is far the car travel before stopping.

What is force ?

When an object interacts with another object, it experiences a push or pull known as a force. Every time two objects come into contact, a force is applied to each one of them.  Actual forces can only be created by interaction.

What is energy ?

The definition of energy is "the ability to do work, which is the capability to apply a force causing the displacement of an object." Despite this vague description, energy simply refers to the power that propels motion.

Given that,

Mass of automobile = 2000 kg

speed = 30 m/s

Braking force = 10000 N

For, The acceleration is

Using newton's formula

Where, f = force

m= mass

a = acceleration

Put the value of F and m into the formula

-10000 = 2000*a

The braking force is visible in the negative sing.

It demonstrates that the force's direction is the inverse of the motion.

a = -10000/2000

a = -5m/s2

For the distance,

Using third equation of motion

[tex]v^{2} - u^{2} = 2as[/tex]

[tex]0- 30^{2} = 2 * (-5) *s[/tex]

s = 90m

Consequently, the automobile went 90 meters before coming to a stop.

Learn more about force from the given link:

https://brainly.com/question/388851

#SPJ4

a certain mass of neon is in a rigid steel container. the samew mass og helium is added, what happens to pressure

Answers

According to the question, the container's pressure increases but it doesn't double.

This word pressure, what is it?

By dividing the force by the area, pressure is calculated. the use of force to oppose another force. a surface's area divided by a force applied over it. the force that the atmosphere's weight causes to be applied.

What is a good instance of pressure?

Holding a knife against a fruit piece will demonstrate pressure in an easy way. It won't cut surface of the fruit if you press the flat side of a knife against it. A sizable area is affected by the force (low pressure).

To know more about pressure visit :

https://brainly.com/question/17467912

#SPJ4

In pan 1, you'll spray the sand with water. In pan 2, you'll set ice cubes on the sand to melt. Predict what will happen in each pan

Answers

In pan 1, when you spray the sand with water, the water will be absorbed by the sand and the sand will become more compact and dense. This is because water molecules will fill the spaces between sand particles and increase the weight of the sand.

In pan 2, when you set ice cubes on the sand, the ice cubes will begin to melt as they come into contact with the warmer sand. As the ice melts, the surrounding sand will become wet. The meltwater will also lower the temperature of the sand around the ice cubes.

The ice cubes will continue to melt until they are fully melted, and the water will be absorbed by the sand. The wet sand will be cooler than the dry sand. This process will cause a change in the temperature and moisture content of sand which can be observed and studied.

Read more about heat transfer :

https://brainly.com/question/16055406


#SPJ4

Which statement best describes how the gravitational attraction between objects is related to their distance from each other: A) The objects always attract each other.
B) The objects repel each other only if they have very different masses.
C) The objects always repel each other.
D) The objects attract each other only if they are moving toward each other.

Answers

Correct option is A)  The objects always attract each other.

There is always a pull from gravity. It won't repel.

A mass attracts a mass; the amount of the gravitational force is directly proportional to the masses of the two items and inversely proportional to the square of the distance between the two objects. Gravitational force is an attractive force that exists between all objects with mass.

A rise in one quantity causes a fall in the value of the other since the two values are inversely proportionate. In other words, as the separation distance increases, the force of gravity decreases, and as the separation distance decreases, the force of gravity increases.

To learn more about Gravitational attraction from given link

https://brainly.com/question/15257710

#SPJ4

to the origin is its velocity is and it is subject to a force Find (a) the acceleration of the object, (b) the angular momentum of the object about the origin, (c) the torque about the origin acting on the object, and (d) the angle between the velocity of the object and the force acting on the object.

Answers

To find the acceleration, angular momentum, torque, and angle of an object subject to a force and moving towards the origin, we need to know the velocity and force vectors of the object.

(a) the acceleration of the object

The acceleration of the object can be found by taking the derivative of the velocity vector with respect to time. If the object is moving towards the origin, the acceleration vector would be in the opposite direction of the velocity vector.

(b) the angular momentum of the object about the origin

The angular momentum of the object about the origin can be found by taking the cross product of the position vector of the object and its velocity vector. The angular momentum is a vector quantity that is perpendicular to both the position and velocity vectors.

(c) the torque about the origin acting on the object

(c) The torque about the origin acting on the object can be found by taking the cross product of the position vector of the object and the force vector acting on it. The torque is a vector quantity that is perpendicular to both the position and force vectors.

(d) the angle between the velocity of the object and the force acting on the object.

The angle between the velocity of the object and the force acting on it can be found by taking the dot product of the velocity and force vectors and dividing by the magnitudes of both vectors. The angle between the two vectors is measured in radians and can be used to determine how much the force is affecting the velocity of the object.

It's important to note that all these calculations are vector calculations and they are all performed in three-dimensional space and require knowledge of vector calculus and physics.

To know more about velocity visit

brainly.com/question/17127206

#SPJ4

Suppose you have a set of spheres of various sizes. The formula below shows a possible relationship between the surface area (S) and volume for the spheres (V).

Answers

The formula that shows the relationship between the surface area (S) and volume (V) for spheres is S = 4πr² and V = (4/3)πr³ where r is the radius of the sphere.

This formula shows that the surface area of a sphere is directly proportional to the radius squared, and the volume is directly proportional to the radius cubed. This means that as the radius of a sphere increases, the surface area and volume will increase at a much faster rate. For example, a sphere with a radius of 2 will have four times the surface area and eight times the volume of a sphere with a radius of 1.

The question is incomplete, hence the answer is general.

Learn more about volume of the spheres here: brainly.com/question/22807400

#SPJ4

You need a capacitance of 50 µF , but you don't happen to have a 50 µF capacitor. You do have a 90 µF capacitor. What additional capacitor do you need to produce a total capacitance of 50 µF?

Answers

According to the question, you would need to add a 40 µF capacitor in order to produce a total capacitance of 50 µF.

What is the capacitor?

An electrical component known as a capacitor stores energy in an electric field. It is made up of two metal plates separated by an insulator, such as air, paper, plastic, or ceramic. When a voltage is applied to the plates, a charge is stored in the electric field. This charge can then be released when the voltage is removed. Capacitors are used in a variety of applications, such as providing energy storage in power supplies, filtering signals in electronic circuits, and providing energy to motors in electrical devices. They can also be used to balance out electrical loads in a circuit, and provide a steady current for the circuit. Capacitors can vary in size, shape, and material depending on the application.

In this case, 90 µF + 40 µF = 130 µF, and 130 µF - 90 µF = 40 µF. Therefore, you would need to add a 40 µF capacitor to the 90 µF capacitor to achieve a total capacitance of 50 µF.

To learn more about capacitor

https://brainly.com/question/13578522

#SPJ4

Frank is pulling on a rope to drag his backpack to school across the ice. He pulls upwards and rightwards with a force of 26.7 Newtons at an angle of 17 degrees above the horizontal to drag his backpack a horizontal distance of 129 meters to the right. Determine the work done upon the backpack. in joules.

Answers

The work done upon the backpack is 3293 Joule.

What is force?

The definition of force in physics is: The push or pull on a massed object changes its velocity.

An external force is an agent that has the power to alter the resting or moving condition of a body. It has a direction and a magnitude.

A spring balance can be used to calculate the Force. The Newton is the SI unit of force.

The work done upon the backpack is = applied force × displacement × cosα

= 26.7 N × 129 meters × cos17°

= 3293 Joule.

Learn more about force here:

https://brainly.com/question/13191643

#SPJ1

A 45 g golf ball collides elastically with an identical ball
at rest and stops. If the second ball's final speed is
3.0 m/s, what was the first ball's initial speed?

Answers

The initial speed of the first ball was 3.0 m/s. This can be determined by using the law of conservation of momentum where the total momentum of the system before the collision is equal to the total momentum of the system after the collision.

ethe earth takes 1 day to rotate once about its axis. what is the angular v elocity of a point on the surface of the earth studentroom physics ocr a

Answers

The angular velocity of a point on the surface of the earth is [tex]7.3 * 10^{-5} rad/s[/tex]

What is angular velocity?

Angular velocity is a vector quantity and is described as the rate of change of angular displacement which specifies the angular speed or rotational speed of an object and the axis about which the object is rotating.

What is angular velocity and write its formula?

Angular velocity is the rate of change of the position angle of an object with respect to time, so w = theta / t, where w = angular velocity, theta = position angle, and t = time.

Every point on the earth's surface completes one circular orbit (centered at a point on the axis) in 1 day

1 day = 24x60x60

1 day=86400s

Angular velocity is given by :

[tex]w =2\pi /86400\\ w =7.3*10^{-5} rad/s[/tex]

Thus, [tex]7.3 * 10^{-5} rad/s[/tex] is the correct answer.

To know more about angular velocity :

https://brainly.com/question/20432894

#SPJ4

A negative charge of -0. 0005 C exerts an attractive force of 9. 0 N on w second charge that is 10 m away. What is the magnitude of the second charge?

Answers

The second charge is 0.0002c in size. For a negative charge of -0. 0005 C, a second charge that is 10 metres away experiences an attracting force of 9.0 N.

In science, the issue of magnitude is undoubtedly of utmost significance. Magnitude typically refers to a size or a distance. We can relate magnitude to the movement by comparing the size and motion speed of the thing. A force in physics is an effect that has the power to alter an object's motion. A force can cause an object with mass to change its velocity, or accelerate (for example, moving from a condition of rest).

q2 = 9*(10)^2/(9*10^9*0.0005)

q2 = 0.0002C

Learn more about force here

https://brainly.com/question/13191643

#SPJ4

If we decided to make the length of one day equal to the time that it took the earth to complete a single revolution about its axis, what would change?

Answers

Our days would be a little bit shorter, and as a result, the sun would rise and set each day at later and later hours.

How long does it take the Earth to make a full rotation?

Another method to determine how long a day is is to time how long it takes a planet to complete one full spin. A sidereal day is what is being described here. On Earth, a sidereal day is almost exactly 23 hours and 56 minutes long. The sidereal day occurs after every 360-degree rotation of the Earth. It takes 23 hours, 56 minutes to do that. When Earth rotates slightly more and the sun is at the same location in the sky as it was 24 hours earlier, the solar day—the one that people count in the calendar—occurs.

To learn more about Earth refer to:

brainly.com/question/11902321

#SPJ4

Margy is trying to improve her cardio endurance by performing an exercise in which she alternates walking and running 100.0 m each. If Margy is walking at 1.4 m/s and accelerates at 0.20 m/s2 during one of the running portions, what is her final velocity at the end of the 100.0 m

Answers

She moves at 6.5 m/s as her final speed after running 100 meters.

Acceleration or velocity, according to m/s 2?

The velocity change of an object per unit of time is known as acceleration. Amounts of acceleration are measured in meters per second squared (m/s2), the SI unit of acceleration. For instance, due to Earth's gravity, a falling object accelerates at a rate of 9.8 m/s2.

A straight-line motion issue looks something like this. These formulas are used to determine the final velocity:

s = Vo*t + (1/2)*a*at2, and Vf = Vo + at

Where:

Vf = = final speed =?

1.4 m/s is the initial velocity, and 0.20 m/s is the acceleration.

100m displacement in 2 seconds.

the first equation is changed by:

100 = 1.4t + (1/2)*0.2*t^2\st = 25.388s

Vf = 1.4 + 0.2 can be used as a replacement in the second equation.

Vf = 6.5m/s

To know more about cardio exercise visit:-

https://brainly.com/question/1311324

#SPJ4

a book with a mass of 0.25 kg is lifted 2 m onto a bookshelf. how much gravitational potential energy does it gain? ( g = 10 N/kg)​

Answers

Gravitational Potential Energy = mass x gravity x height

(Gpe=mgh)

0.25 x 10 x 2 = 5J

In which of the following situations is kinetic energy transformed into chemical energy by way of electrical energy?
A. wind turns the blades of a turbine on a wind generator, producing electricity that can be stored in a battery.
B. wood is burned in a steam engine to drive an electrical generator that in turn provides energy for a motor.
C. charge separation caused by motion and friction among clouds produces lightning, which strikes a tree, setting it on fire.
D. the electric current from a battery is used to separate water molecules into their elemental oxygen and hydrogen components.

Answers

The situations is kinetic energy transformed into chemical energy by way of electrical energy is- wind turns the blades of a turbine on a wind generator, producing electricity that can be stored in a battery.

Hence, option A  is correct.

Wind turbines convert wind's mechanical energy into electrical energy. In this scenario, a turbine uses the kinetic energy of moving air to create a rotating motion. Wind causes a wind turbine's blades to move or rotate as it blows past them. An engine is powered by these blades.An object's kinetic energy is the energy it has as a result of motion. Applying force is necessary if we wish to accelerate an object. After the job is finished, the object will be travelling at a new, constant speed because energy has been transferred to it

To know more about kinetic energy here

https://brainly.com/question/25959744

#SPJ4

At a _________ light, after checking to the rear, stop before entering the intersection or at the stop bar. If the stop cannot be made safely, proceed through the intersection with caution.

Answers

"At a yellow light, after checking to the rear, stop before entering the intersection or at the stop bar." If stopping safely is not possible, cautiously cross the junction.

Devices that are typically located at significant sites, such as busy junctions, are used to give out traffic signals in order to control the flow of traffic.

A yellow traffic light serves as a warning that the red signal will soon be shown. As a result, as soon as you notice a yellow light, you should begin to slow down in preparation for a red light. Additionally, if for some reason you are unable to stop, you should keep an eye out for any vehicles that may be approaching the intersection at the same moment.

To know more about traffic lights:

https://brainly.com/question/10590806

#SPJ4

Other Questions
What is the danger of engaging in unprotected pre marital sex? What is step 3 in problem solving? Now, think carefully about both parts of the letter. What does this letter show about the issues that Abigail Adams was concerned about Fill in the blank question.Miss Wade's science class of 20 students is going on a field trip to the zoo. Each student will also take a train ride around the zoo. Mr. Sexton's class of 25 students is going on a field trip to the state park and will take a canoe trip. Admission to the zoo is twice that of the state park's entry fee as shown in the table. Each group will spend the same total amount of money. Match each stage of demographic transition with its correct description. (3 points)a. High birthrates, high infant mortality rate, no health services or family planning optionsb. High birthrates, decline in deathrates, increased health services but limited family planning optionsc. Low birthrates, low deathrates, higher quality of health services and family planning optionshere's the CORRECT answerStage 1 AStage 2 BStage 3 C What is the equation of the line that passes through the points (-2, 3) and (2, 7)? (5 points)O x-y=-1Ox-y=-2Ox-y=-5O x-y=-6 Which of the following is a strong research topic?A. How can we improve in the environment?B. Why do people enjoy hunting?C. How is hunting affecting local wildlife?D. What material is the easiest to recycle? 0.2(x+50)-6=0.4(3x+20) 15.0 L of an ideal gas at 298 K and 3.36 bar are heated to 350 K with a new pressure of 4.90 atm. What is the new volume in litres Which of the following contributed to the GreatDepression? (Select all that apply.)A. None of the followingB. All of the followingC. Overproduction of cropsD. Buying on creditE. Poor banking policiesF. Stock market speculationG. The end of World War IH. The election of Herbert Hoover What are the 5 primary factors of production? Have you ever ____been_____ to Paris?33You __dont need to_____ shout. I can hear you clearly.14Are we nearly there _or ot_____?34In 2030, they will ____have____ been married for 25 years.1510cm is _______bigger___ than 5cm.35_____we were dancing on_____ the rain, we enjoyed ourselves in the park.16I have lived here ______since__ 1987.36According to etiquette, one ____fork____ to use ones cutlery.17This coffee is ____served_____ hot to drink.37By the time we arrived, Paul _had______ already left the party.18In England, June 21st is the __longest________ day of the year.38The park was almost empty. ______bearly__ anyone was there.19What are you _______doing___ next Saturday?39______if____ it not for the zookeepers, the lions would have died from infection.20Its cold today. Would you like _____a__cup__ tea?40________ it not been for the alarm, we would not have known there was a problem. Which unit rate corresponds to the proportional relationship shown in the graph?Drag and drop the answer into the box to match the graph with its unit rate. How do you plot 1 3 on a graph? Close Read: Gaming Communities In 1999, the population of a country was 273,401,000. Of these, 16 million suffered from diabetes (and hence could not consume regular ice cream) and 30 million were lactose intolerant (and hence could not eat ice-cream). On average, consumption per person is 46.6 pints per year. The average price per pint in 1999 was $3.19. What is the market potential in (a) units and (b) dollars? ($ is used as a general unit of currency) What is a risk decision ? When you step on the break, the car engine rotation rate decreases from 10 rad/s to 6.3 rad/s in 5.0 s. What is the magnitude of the average angular acceleration which method of alertig fire department members of an emergency alerts the member by tone, light and or vibration How do I do this ? Because Im having trouble with problems like this .