A skydiver, weighing 180 lb (including equipment) falls vertically downward from an altitude of 6000 ft and opens the parachute after 10 s of free fall. Assume that the force of air resistance, which is directed opposite to the velocity, is of magnitude 0. 75|v| when the parachute is closed and is of magnitude 12|v| when the parachute is open, where the velocity v is measured in ft/s. (A computer algebra system is recommended. Use g = 32 ft/s^2 for the acceleration due to gravity. Round your answers to two decimal places. ) (a) Find the speed of the skydiver when the parachute opens. Ft/s (b) Find the distance fallen before the parachute opens. Ft (c) What is the limiting velocity v_L after the parachute opens? v_L = ft/s (d) Determine how long the sky diver is in the air after the parachute opens

Answers

Answer 1

The sky diver falls vertically downward from an altitude of 6000 ft and opens the parachute after 10 s of free fall.

What is Acceleration?

Acceleration is the rate of change of velocity over time. It is basically a vector quantity, meaning it has both magnitude and direction. Acceleration is caused by a force and is measured in meters per second squared (m/s2).

a) The speed of the skydiver when the parachute opens can be found by using the equation

v=gt,

where g is the acceleration due to gravity and t is the time of free fall.

We can substitute the given values into the equation to find the speed.

v=gt

v=(32ft/s^2)(10s)

v=320ft/s

b) The distance fallen before the parachute opens can be found by using the equation

s=1/2gt^2,

where g is the acceleration due to gravity and t is the time of free fall.

We can substitute the given values into the equation to find the distance.

s=1/2gt^2

s=(1/2)(32ft/s^2)(10s)^2

s=16000ft.

c) The limiting velocity after the parachute opens can be found by using the equation

v_L=√(2mg/ρA)

where m is the mass of the skydiver, g is the acceleration due to gravity, ρ is the density of air, and A is the projected area of the parachute.

We can substitute the given values into the equation to find the limiting velocity.

v_L=√(2(180lb)(32ft/s^2)/(1.225kg/m^3)(6m^2))

v_L=30.68ft/s.

d) The time the sky diver is in the air after the parachute opens can be found by using the equation

t=v/a

where v is the initial velocity, and a is the acceleration due to air resistance.

We can substitute the given values into the equation to find the time.

t=v/a

t=(320ft/s)/(12ft/s^2)

t=26.67s.

So, the sky diver is in the air for 26.67s after the parachute opens.

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Related Questions

Every year, new records in track and field events are recorded. Let's take a historic look back at some exciting races. On August 20, 1989, in Cologne, West Germany, Said Aouita of Morocco also established a world record when he ran the 3000. m run in 7 minutes, 29.45 seconds. What was his average speed (in m/s) for the race

Answers

Said Aouita's average speed for the race was 12.089 m/s. To calculate this, we need to divide the total distance (3000 meters) by the total time (7 minutes and 29.45 seconds).

Converting the time to seconds, we get 449.45 seconds.

Therefore,

3000 / 449.45 = 12.089 m/s.

This is an impressive speed for a 3000 m race and it was a new world record at the time. Aouita was the first runner to break the eight minute barrier in the 3000 m, a feat he accomplished in 1987. His world record lasted for almost 3 years until it was broken by Moses Kiptanui in 1992. Aouita's world record is a testament to his incredible speed and endurance.

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A 50 kg person and a 70 kg person are sitting on a bench close to each other about .5 m apart.
Estimate the magnitude of the gravitational force each exerts on the other.

Answers

Answer:

1.0 x 10-6 N.

Explanation:

The gravitational force

Fg = G m1 m2 / r2 = (6.673 x 10-11) (50 kg) (75 kg) / (0.50 m)2 = 1.0 x 10-6 N.

Which would be eaier to carry --- a chool bag with a broad trap for a chool bag with a very thin trap?
Jutify your anwer

Answers

A school bag with a broad strap would be easier to carry when compared with a school bag with thin strap.

Bags are used to carry loads. There are bags with two straps and bags with  one strap. Bags with one strap spread lesser area for carrying whereas bags with two straps spread more area.

The school bags with broad straps are easier to handle. This is due to the reason that the load of the bag is distributed over larger area, thereby decreasing the pressure on the shoulders. The pressure provided by smaller straps is higher ans causes irritation.

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A person travels by car from one city to another with different constant speeds between pairs of cities. She drives for 35.0 min at 55.0 km/h, 16.0 min at 95.0 km/h, and 40.0 min at 35.0 km/h and spends 55.0 min eating lunch and buying gas. (a) Determine the average speed for the trip.

Answers

53.24 km/hr is the journey's average speed.

What is the SI unit for average speed?

Average speed is determined by dividing the entire distance covered by the body in a given amount of time, or Average Speed=Total time.

total radius. A scalar quantity, that is. M/s is its unit.

What does Formula 9 for Average Speed mean?

The length of the entire path traveled divided by the duration of the motion is the definition of average speed.

Total miles traveled: 31.9 + 25.7 + 23.33 = 80.5 km

Average trip speed would be 80.5/1.512=53.24 km.

Total time required to travel this distance is 0.58 hours, 0.266 hours, and 0.666 hours.

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A baseball has a momentum of 6.0kg*(m)/(s) south and a mass of 0.15kg. What is the baseball's velocity?

Answers

A baseball weighs 0.15kg and has a south momentum of 6.0kg m/s. The speed of the baseball was (v) = 40 m/s south.

It's a physical magnitude that measures the product of the mass by the velocity of a particle. Its units in the International System is kg. m/s and the formula is

p = mv

where

m is the mass of the object

v is its velocity

In this problem, we know:

p = 6.0 kg m/s is the momentum of the baseball

m = 0.15 kg is its mass

Therefore, we can re-arrange the equation to find the baseball's velocity:

v = p/m

v = 6.0/0.15

v = 40  m/s south

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Two spherical objects have masses of 1. 5 x 10^5 kg and 8. 5 x 10^2 kg.

Their centers are separated by a distance of 2500 m. Find the

gravitational attraction between them.

Answers

When two objects are separated by a distance then gravitational attraction between them is 1.36 × 10^-9 N.

Given,

m = 1.5 × 10^5 kg

M = 8.5 × 10^2 kg

r = 2500 m

F=GmM/r^2

Here G = 6.67 × 10^-11 N.m^2/kg^2 is the value of the gravitational constant

F = 1.36 × 10^-9 N

Every body in the universe attracts every other body with a gravitational force that decreases with distance as 1/r2. But actually he knew more about the gravitational force: from the fact that bodies of different masses near the earth’s surface accelerate downwards at the same rate, using F = ma (Second Law).

If two bodies of different masses have the same acceleration they must be feeling forces in the same ratio as their masses (so a body twice as massive feels twice the gravitational force), that is, the gravitational force of attraction a body feels must be proportional to its mass.

Newton’s first clue that gravitation between bodies fell as the inverse-square of the distance may have come from comparing a falling apple to the falling moon, but important support for his idea was provided by a detailed description of planetary orbits constructed half a century earlier by Johannes Kepler.

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A 2.00-kilogram object weighs 19.6 newtons on Earth. If the acceleration due to gravity on Mars is 3.7 1 m/s^2, what is the object's mass on Mars

Answers

The 2.00-kilogram object weighs 19.6 newtons on Earth, its weight on the Mars is 2.00 kg.

The mass is known as the amount of matter which is contained in a body.  It is a property which is consistent in a body regardless of the body's current location, gravitational pull and various other factors which exist.

Mass and weight are two separate quantities. Weight is computed as a product of mass and acceleration. Mass has a property to remain constant and it means that whether the object is on any planet, irrespective of that, it will be constant. The mass remains the same that is 2.00 kg.

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at the top of a pole vault, an athelete actually can do work pushing on the pole before releasing it. suppose the pushing force that the pole ecerts back on the athelete is given by F(x)=(1.5*10^2N/m)x-(1.9*10^2N/m^2)x2 acting over a distance of 0.20m. how much work is done on the athelete?

Answers

2.49 Joules have been performed on the athlete, in accordance with the provided statement.

What in science is a force?

In science, the word "force" has a concrete meaning. At this point, referring to a force as a push or simply a yank is perfectly appropriate. An constituent does not "have in it" or "contain" a factor. A force is felt by one entity coming from another. The idea of a force encompasses both living and non-living entities.

You must incorporate the work expression because it is a vital part of Fdx.

Gained is

  W  =  integral of  (  150x  -  190 x 2 ) dx  

         =    75 x2   -  63.333 x3  

So now...

   work done  =   75 *0.202  -  63.333 *0.203   = 2.49Joules

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A 14 N force to the right keeps a 72 N normal force mass at constant
velocity on a horizontal surface. What is the coefficient of kinetic friction
between the surface and the mass?

Answers

The coefficient of kinetic friction between the surface and the mass is  0.1944.

What is kinetic friction?

A force that acts between moving surfaces is referred to as kinetic friction. A force acting in opposition to the direction of a moving body on the surface is felt. The two materials' coefficient of kinetic friction will determine how much force is applied.

The ratio of the normal force to the kinetic friction force generated by contacting surfaces is known as the coefficient of kinetic friction.

Hence, The coefficient of kinetic friction between the surface and the mass is = 14 N/72 N

= 0.1944

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How far do you have to move the moon so the force of gravity on it doubles?

Answers

The gravitational attraction between two objects grows in strength with each object's mass. The gravitational force between two objects doubles when one of the objects' masses doubles.

Is gravity 9.8 meters?

The acceleration that gravity imparts to objects falling freely is used to quantify gravity. At the surface of the Earth, gravity accelerates at a rate of around 9.8 meters (32 feet) per second. As a result, an object in free fall accelerates by 9.8 meters per second for every second that it is falling.

Is the gravitational field constantly 9.8 N kg strong?

The gravitational field strength of the Earth is 9.8 N/kg. Accordingly, an item will feel 9.8 N of force for every kg of mass. That weight of a thing is lower if the gravitational field is weaker. The Moon, for instance, has a gravitational field that is 1.6 N/kg strong.

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Classify the phase-change scenarios according to the direction of the heat flow in each case. No net transfer of heat occurs Heat is transferred from the water to the surroundings Heat is transferred to the water from the surroundings

Answers

When working through these problems, think about the heat in terms of movement of the molecules of water.

Heat is transferred from the water to the surroundings --- water molecules slowing down.

Heat is transferred to the water from the surroundings --- water molecules heating up.

a cloud of steam condenses into liquid water - Heat is transferred from the water to the surroundings. Steam has more molecules moving around than liquid water. Therefore the molecules had to slow down, thereby transferring heat to the surroundings.a block of ice sublimates into water vapor - Heat is transferred to the water from the surroundings --- water molecules are heating upa block of ice melts - Heat is transferred to the water from the surroundings. The water molecules are basically not moving. Therefore heat has to be introduced to the molecules, which causes the melting.a puddle of water evaporates - Heat is transferred to the water from the surroundings. The water molecules are moving in the liquid state. However, when more heat is introduced to the liquid, the molecules move more rapidly and evaporate.a puddle of water freezes into ice - Heat is transferred from the water to the surroundings --- water molecules slowing down as they go from a liquid state to a solid state.

ABOUT HEAT TRANSFER

Heat transfer is the transfer of energy due to the difference of temperature between two different places. The main discussion in heat transfer is how the energy in heat can move places and the rate of transfer under certain conditions. Heat transfer includes the processes of inflow and outflow of heat. In industrial processes, heat transfer is used to achieve the required temperature in the industrial process and maintain the required temperature throughout the process.

Heat transfer from one object to another can occur by conduction, convection, and radiation. The determinant of heat transfer is the temperature difference. The direction of heat transfer starts from a medium with a high temperature to a medium with a lower temperature. Heat transfer can occur with a single process or multiple processes.

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In designing rotating space stations to provide for artificial-gravity environments, one of the constraints that must be considered is motion sickness. Studies have shown that the negative effects of motion sickness begin to appear when the rotational motion is faster than approximately 1.65 revolutions per minute. On the other hand, the magnitude of the centripetal acceleration at the astronauts' feet should equal the magnitude of the acceleration due to gravity on earth. Thus, to eliminate the difficulties with motion sickness, designers must choose the distance between the astronaut's feet and the axis about which the space station rotates to be greater than a certain minimum value. What is this minimum value

Answers

This minimum value is 223.9 m.

The attribute of motion of an item travelling a circular path is characterised as centripetal acceleration. Centripetal acceleration is defined as any item travelling in a circle with an acceleration vector pointing towards the centre of that circle.

The acceleration felt when moving in a uniform circular motion is known as centripetal acceleration. It always points toward the rotational centre. It is parallel to the linear velocity. The centripetal force is measured in an inertial frame of reference, whereas the centrifugal force is measured in a non-inertial frame of reference. Centripetal force is directed towards the axis of rotation or the centre of curvature, whereas centrifugal force is directed away from the circle's centre.

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What is the amount of torque produced if the angle between the force and the lever arm is zero?

Answers

The amount of torque produced if the angle between the force and the lever arm is zero is zero.

The formula for torque is:

Torque (τ) = Force (F) x Lever arm (r) x sin(θ)

This is because torque is defined as the product of force and the perpendicular distance from the line of action of the force to the axis of rotation. When the angle between the force and the lever arm is zero, the force is acting parallel to the lever arm, meaning that there is no perpendicular distance between the force and the axis of rotation, resulting in a torque of zero. In other words, the torque is zero when the force is applied in the same direction as the lever arm.

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If a non-rotating object has no acceleration, then we can say for certain that it is A) in mechanical equilibrium. B) moving at constant non-zero velocity. C) at rest. D) all of the above E)none of the above

Answers

(A)  in mechanical equilibrium is correct option, as there is no net force acting on it. A non-rotating object that has no acceleration can be said to be in mechanical equilibrium.

What is the definition of mechanical equilibrium?

Mechanical Balance When all forces acting on an object of interest are equal to zero, mechanical equilibrium has occurred. The balance of all the forces must exist for this to occur.

What distinguishes mechanical equilibrium from static equilibrium?

A reversible reaction is in a stable state called dynamic equilibrium when the rate of the forward reaction equals the rate of the backward reaction. The reaction has come to an end when there is static equilibrium, sometimes referred to as mechanical equilibrium. Or to put it another way, the system is idle.

Can mechanical equilibrium exist for an object in motion?

When an object's acceleration is equal to zero, it is said to be in mechanical equilibrium. The object is either at rest with no change in position over time or it is traveling at a constant pace in this state. The net force acting on the object is equal to zero since the acceleration is zero.

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An ideal gas expands through an adiabatic process. Which of the following statements is/are true?
a) The work done by the gas is negative, and heat must be added to the system.
b) The work done by the gas is positive, and no heat exchange occurs.
c) The internal energy of the system has increased.
d) The internal energy of the system has decreased.

Answers

The work done by the gas is positive, and no heat exchange occurs. The internal energy of the system has increased.

An adiabatic process is a process in which no heat is exchanged with the surroundings. Therefore, there is no heat added or removed from the system and the work done by the gas is positive. Since no energy is exchanged with the surroundings, the internal energy of the system will increase, since work must be done to expand the gas.The work done by the gas is positive, and no heat exchange occurs.The internal energy of the system has increased.

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If you pound a feather with a hammer, which one feels a greater force? a. always the hammer both feather moves, then it felt the greater force. b. therwise the force the same on both. c. always the feather d. The size of the force is always exactly the same on both of them.

Answers

If you pound a feather with a hammer, which one feels a greater force always the hammer both feather moves, then it felt the greater force.

What is the force?
Force is an influence that produces a change in the motion of an object. It is measured in units of mass times acceleration, or newtons (N). Force is a vector quantity, meaning it has both magnitude and direction. Force can cause an object to accelerate, decelerate, remain in motion, change direction, or alter shape. Examples of forces include gravity, friction, tension, and magnetism. Forces can also be generated by electrical, thermal, and nuclear energy. All forces are generated by the interaction of two objects and can be balanced or unbalanced. Unbalanced forces will cause an object to move or accelerate and balanced forces will cause an object to remain stationary or in motion at a constant speed.

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The tape in a videotape cassette has a total length 196 m and can play for 2 h. As the tape starts to play, the full reel has an outer radius of 48 mm and an inner radius of 14 mm. At some point during the play, both reels will have the same angular speed. What is this common angular speed

Answers

Both reels will rotate at the same pace at some time throughout the game. This usual angle of rotation is 0.763 rad/s.

Given data:

The total length of the videotape cassette is, L = 196 m.

The time interval for the play is, t=2h=2×3600=7200s

The outer radius of the tape is, r₀ = 48mm

The inner radius of the tape is, r[tex]_{i}[/tex] = 14mm

The rotating motion of the videotape is indicated by the value of the angular velocity, which is as follows:

[tex]\omega=\frac{v}{r}[/tex].............................................................................(1)

Here, v denotes the cassette's linear speed, while r denotes the cassette's effective radius.

r=[tex]\sqrt{ \frac{r_{o}^{2} + r_{i}^{2} }{2} }[/tex]

r= [tex]\sqrt{ \frac{48^{2} + 14^{2} }{2} }[/tex]

r=35.35 mm

r ≅ 0.03535 m

And the cassette's linear speed is specified as,

[tex]v=\frac{L}{t}[/tex]

[tex]v[/tex] = 196/7200

[tex]v[/tex] = 0.027 m/s

Substitute the values in equation (1) as

[tex]\omega[/tex] = 0.027/0.03535

[tex]\omega[/tex] = 0.763 rad/s

As a result, we can infer that at some point throughout the game, both reels will be spinning at the same speed of 0.763 rad/s.

The angle of rotation in mathematics is a measurement of how much, specifically by what angle, a figure is rotated about a fixed point, frequently the center of a circle. Since an anticlockwise revolution of 310 degrees is equivalent to a full turn of 360 degrees because 310 degrees plus 50 degrees equals 360 degrees, an anticlockwise rotation of 310 degrees is also referred to as a rotation of -50 degrees.

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true/false
It is possible to view the Moon in first-quarter phase the day after a total lunar eclipse.

Answers

False. The Moon will typically appear in a crescent phase the day after a total lunar eclipse.

What is lunar eclipse?

A lunar eclipse is an astronomical event that occurs when the Moon passes directly behind the Earth into its umbra (shadow). During a lunar eclipse, the Earth blocks the light from the Sun from reaching the Moon.

The Moon, in turn, takes on a reddish hue as the Earth's shadow covers it. A lunar eclipse can only occur at Full Moon, when the Sun and Moon are in exact alignment with Earth in the middle. The Moon will usually appear larger than usual during a lunar eclipse, due to the reddish hue it takes on.

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Forces acting upon a 100-kg crate sliding down an inclined plane, the plane is inclined at an angle of 30 The coefficient of friction between the crate and the incline is 0.3. Determine the net force of the crate. Use: g=10m/s, Sin30°=0.5, and Cos30°=0.9 A) 300N B) 200N C) 100N D)230N​

Answers

Forces acting upon a 100-kg crate which is sliding down an inclined plane, the plane is inclined at an angle of 30 The coefficient of friction between the crate and the incline is 0.3. the net force of the crate is 230N.

What is coefficient of friction ?The amount of friction between two surfaces is measured by the coefficient of friction. You determine the resistance to motion at the intersection of two surfaces made of similar or dissimilar materials when you determine the coefficient of friction.

Solution:

Given:

Mass of crate=100kg

Angle of inclination=30°

coefficient of friction=0.3.

Now,

F∥=mgsinθ=(100)(10)0.5=500N is the force acting parallel to the inclined plane.

then,

Normal force= mgcosθ=(100)(10)(0.9)=900N

then, frictional force =

Frictional force=μkF⊥=(0.3)(900)=270N

Finally the net force = F∥-frictional force

the net force =500-270

the net force =230N

Hence, the net force is 230N

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a total of 10.0j of work is done in accelerating a 20-n object from rest across a horizontal frictionless table. what is the total kinetic energy gained by the object

Answers

The total kinetic energy gained by the object when accelerating a 20-n object from rest across a horizontal frictionless table is 10.0 J.

How do you determine the total kinetic energy?

To determine the total kinetic energy gained by the object, we can use the work-energy principle, which states that the work done on an object is equal to the change in kinetic energy of the object.

Work done = change in kinetic energy

W = Kf - Ki

where

W = work done (10.0 J)

Kf = final kinetic energy

Ki = initial kinetic energy (0 J, since the object is at rest)

Given the information provided, we know that a total of 10.0 J of work is done in accelerating the 20-n object from rest.

So,

Kf = W + Ki

Kf = 10.0 J + 0 J

Kf = 10.0 J

Therefore, the total kinetic energy gained by the object is 10.0 J

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how to say hi in french

Answers

Explanation:

Bonjour

it is hi or hello you can also say the name after

Example:Bonjour(say the name of the person you want to greet)

Answer:

Bonjour

Explanation:

Its just bonjour, you could always expand and say more then just Hi though.

Which term is the rate at which work is done?
a. energy
b. power
c. joules
d. force

Answers

The rate at which work is completed is indicated by the power word, hence option b is correct. Power, which can be defined as the amount of work done W.

Is the time rate at which the job is completed or energy is given. Energy transferred, expressed as W/t or energy transferred against the time interval t. Work (or energy) per unit time, foot-pounds per minute, joules per second (or watts), and ergs per second are all ways to express power. Work is defined as involving both force applied to the body and displacement of the body. Consider a block that is resting on a horizontal, frictionless floor. A consistent force is acting on this block.

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Answer:  B.) power

Explanation: Get dem hearts up:)

Complete this sentence. If the cone of force is facing an observer, the impact comes from the ________ side of the observer.

left
same
right
opposite

Answers

If the cone of force is facing an observer, the impact comes from the opposite side of the observer.

What is Newton's third law of motion?

Newton's third law of motion states that action and reaction force are equal and opposite. That is for every action, there is an equal and opposite reaction.

Mathematically, the formula for Newton's third law of motion is given as;

Fa = - Fb

where;

Fa is the impact force or force exerted on BFb is the reaction force of B due to applied force of A

Thus, when a force is applied from a side, the observed force or reaction will be directed in opposite direction. The force exerted and the reaction force are both equal in magnitude but occurs in opposite direction.

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PLSS HELP
A car collides with a wall. Compare the forces exerted by the car on the wall and by the wall on the car.

Answers

According to Newton's third law of motion the force exerted by the car on the wall and the force by the wall on the car are equal and opposite. But there will be no displacement for the wall.

What is collision?

Collison is a short time force acting between two objects. There are both elastic and inelastic collision. In elastic collision, the kinetic energy and momentum of the colliding system is conserved whereas in inelastic collision, the kinetic energy is not conserved.

For any type of collision, we can apply Newton's third law of motion. This law states that, for every action there is an equal and opposite reaction. Therefore, in a collision, the force exerted by each object will be equal and opposite in direction.

Therefore,  the force exerted by the car on the wall and the force by the wall on the car are equal and opposite. But there will be no displacement for the wall.

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A crate of eggs is located in the middle of a pickup truck as the truck rounds a corner in the road. The curve has a radius of 35 m. If the coefficient of static friction between the crate and the truck is 0.600, how fast can the truck move without the crate sliding

Answers

The speed of the truck is 14.3m/s without the crate sliding.

What is the equation for static friction?

The resistive friction force (Fr) multiplied by the usual or horizontal pressure (N) pushing the things together yields the frictional coefficient (fr), which is a numerical value. The formula fr = Fr/N serves as a representation of it.

Calculation -:

Call the mass of the egg crate m. The forces on it are its weight Fg =mg vertically down, the normal force n of the truck bed vertically up, and static friction (fs) directed to oppose relative sliding motion of the crate on the truck bed. The friction force is directed radially inward. It is the only horizontal force on the crate, so it must provide the centripetal acceleration. When the truck has maximum speed, friction fs will have its maximum value with fs=μn.

Newton’s second law in component form becomes

∑Fy=ma(y) giving  n−mg = 0  or  n = mg

∑F(x)=ma(x) giving f(s)= ma(r)

From these equations

μ(s)n ≤ mv²/r and μ(s)mg ≤ mv²/r

The mass divides out. The maximum speed is then

v≤[tex]\sqrt{}[/tex]μrg =[tex]\sqrt{}[/tex]0.600(35.0m)(9.80 m/s²) = v ≤1 4.3m/s.

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Draw the phasor for the emf = (170 V) cos ((2pi*60 Hz)t) at t = 60 ms. Tail at the origin.

Answers

Answer:

9798687564=-=-=97858

Explanation:oy 8gyf86 r = 76y

What is the tangential speed of a passenger on a Ferris wheel that has a radius of 42 m and rotates once in 25 sec

Answers

Where r is the radius, v is the tangential speed, and is the angular speed The tangential speed is 2.1 m/s as a result.

Any object traveling in a circular motion has a linear speed known as tangential velocity. On a turntable, a point in the center moves less distance in a full rotation than a point near the outside edge. Tangential speed and tangential velocity are not the same thing. The amount of tangential velocity, which is generally referred to as velocity, is what you are referring to. Technically, the nomenclature is incorrect, and speed is actually its magnitude whereas tangential velocity comes with the direction, a.The circle's circumference divided by the duration required for one complete spin gives us the tangential velocity: 2*pi*r/t. The relationship between it and angular velocity is also shown by the formula V = w * r, w.

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30kg Michaela is swinging on a swing. Her total mechanical energy is 600 J. At what height will she be when she has a velocity of 2 m/s?

Please show all work!
40 points!!

Answers

Answer:

1.84 m

Explanation:

ME = KE + PE = 1/2mv² + mgh

600 J = 1/2(30 kg)(2 m/s)² + (30 kg)(9.8 m/s²)h

Solve for h:

600 J = 60 J + (294 kg·m/s²)h

h = 540J/294kg·m/s² = 1.84 m

the planet neptune has an equatorial diameter of 49532 km and its mass is 1.0247 x 10^26 kg. If the plane tis modeled as a homogenous sphere, what is the acceleration due to gravity at its surface

Answers

The acceleration due to gravity at the surface of Neptune is calculated to be 10.08 m/s².

Here, we can apply the concept of Newton for the definition of the gravity of a planet, for which he defines that this is proportional to the product of the mass of the planet by the universal gravitational constant, and inversely proportional to the square of the radius of the planet. Mathematically this can be described as

g = GM/r²

where,

G is universal gravitational constant

M is the mass of the planet

r is the radius of the planet

Given that,

Mass of the planet M = 1.025 × 10²⁶ kg

Diameter of the planet = 49532 km = 49532 × 10³ m

Radius of the planet = 24766 × 10³ m

After putting the values into the equation above, we have,

g = GM/r² = (6× 10⁻¹¹) (1.025 × 10²⁶)/(24.7 × 10⁶)² = (6.15 × 10¹⁵)/(24.7 × 10⁶)² = 10.08 m/s²

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What are the 7 basic forms of hazardous energy in the industrial plants?

Answers

Machines and equipment use a variety of energy sources, including electrical, mechanical, hydraulic, pneumatic, chemical, thermal, and others.

What are the forms of hazardous energy?

Equipment and machinery that draw power from electrical, mechanical, hydraulic, pneumatic, chemical, thermal, or other sources may put workers at risk.

hazards to safety

biological threats

bodily dangers

hazards of ergonomics

chemistry risks

threats to organisations during work.

environment-related risks.

Potential energy, or stored energy in an object, poses a risk to employees if it is suddenly released.

Lockout is only one aspect of hazardous energy control. It includes measures like machine guarding, alternative guarding arrangements that stop exposure to hazardous energy, lockouts, and other ways to protect workers from coming into touch with such energy. Anything that could be harmful, hurt someone, or have negative health impacts on something or someone is said to be in a hazardous condition.

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