a large platform is initially at rest on a smooth surface. A dog on the platform starts running toward the east. The mass of the dog is one-half the mass of the platform. When the dog moves toward the east with a speed of v0, the platform moves toward the ____ with a speed _____.

The work done upon the backpack is 3293 Joule.

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.

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Answer

Atmosphere is not required in some world

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

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]

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The energy stored in the capacitor is 0.045 mJ. Under DC conditions, the capacitors will be open-circuited.

Energy stored in a capacitor can be calculated by

E = ½ CV²

Where

The picture of circuit in the attached plot is in the attachment.

Find the energy stored in the capacitor under DC conditions!

We have

Under DC (Direct Current) conditions, the capacitors will be open-circuited. It means that there is no current will flow through the 20 Ω resistor. So, I across the 10 Ω resistor is the same as I source.

See the picture below in the attachment!

The voltage across the 10 Ω resistor is

V = IR

V = 3(10)

V = 30 V

The voltage across the capacitor is the same as the voltage across the 10 Ω resistor.

Vc = V = 30 V

The energy stored would be

E = ½ C Vc²

E = ½ (0.1)(10⁻⁶)(30)²

E = ½ (10⁻⁷)(900)

E = 450 × 10⁻⁷

E = 0.045 × 10⁻³

E = 0.045 mJ

Hence, the energy stored in the capacitor under DC conditions is 0.045 mJ. The correct option is (c).

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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.

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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.

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The first one is based on the fundamental definition of velocity that employs the widely used velocity equation.

The second approach determines the amount of velocity change brought on by acceleration over a given period of time.

Finally, the average velocity formula is used in the third section of the velocity calculator, which may be helpful if you need to examine trips with varying speeds across different distances.

According to the definition of velocity, it is the rate at which an object's position changes over time. Consideration of body motion is one of the fundamental ideas in classical mechanics.

Therefore, The first one is based on the fundamental definition of velocity that employs the widely used velocity equation.

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

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.

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Answer:

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

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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.

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.

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The velocity of the ball is constant the entire time the ball is moving in a circular path at the end of a rope, in a uniform circular motion.

Hence, Option D is correct.

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According to the given statement (a) power in this case will be P=38,933.2428 Watts (b) power in this case will be P=91,788.4599\ W

Average power is defined as the work done per unit time.

Work done can be found by change in kinetic energy.

[tex]W=Kf-Ki\\\\=\frac{1}{2}\mathrm{\ }m(Vf)^2-\frac{1}{2}\mathrm{\ }m(Vi)^2\\\\\Rightarrow\frac{m}{2}\left\{(28.4)^2-(0)^2\right\}\\\\=403.28\mathrm{\ }mJ oules.[/tex]

[tex]P=\frac{W}{t}=\frac{403.28\ m}{6.68}=60.37125mWatts.[/tex]

Explanation: Please refer to solution in this step.

a.) mass of the car will bemass [tex]=\frac{\mathrm{\ Weight\ }}{g}=0.644897\times{10}^3Kg[/tex]

using above equation we can find the power, [tex]P=60.37125\left(0.644897\times{10}^3\right)[/tex]

[tex]=38,933.2428 Watts[/tex]

b.) mass of the car will be [tex]=\frac{\mathrm{\ Weight\ }}{g}=0.152040\times{10}^4Kg[/tex]

using above equation we can find

the power, [tex]P=60.37125\left(0.152040\times{10}^4\right)=91,788.4599 Watts[/tex]

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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

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Your weight would be 85.7N if the Earth were seven times as massive as it is and had a radius three times that of today since the gravitational pull is reduced by seven times with an increase in radius.

Gravitation is a fundamental interaction in physics that produces attraction between all objects with mass or energy. Of the four fundamental interactions, gravity is by far the weakest, being about ten times less than the strong interaction. A body's mass is a fundamental characteristic. Before the discovery of the atom and the field of particle physics, it was generally thought to be tied to the amount of matter in a physical body. x = 600N/7, x = 85.7N

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The coefficient of static friction between the crate and the floor is calculated to be 0.275.

The frictional force when an object moves on the horizontal surface is given as,

Ff = μ N

where, N is the normal force

μ is the coefficient of static or kinematic friction

If no forces other then the weight and the normal are acting upon the y-direction, then the weight and the normal force are equal in magnitude.

N = W = m g

Given that,

Mass of the crate = 26 kg

Frictional force Ff = 70 N

Weight of the crate = 26 × 9.8 = 254.8 N

The normal force is 254.8 N.

The coefficient of static friction μ = Ff /N = 70/254.8 = 0.275

Thus, the coefficient of static friction between the crate and the floor is 0.275.

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

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

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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

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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.

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

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.

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).

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The difference between static stretching and passive stretching is that static stretching is done independently by moving the body, while passive stretching is done using outside assistance.

Stretching is the activity of carrying out movements aimed at flexing or relaxing stiff body parts. Stretching is done to avoid muscle injury because it has benefits such as flexibility, range of motion, circulation, and range of motion of the joints.

There are several types of stretching to relax the body, two of which are static stretching and passive stretching. Static stretching is a movement that is done slowly on the muscles until there is tension and pain. While passive stretching is stretching that is done with outside help such as using a tool or asking for help from others to relax and flex certain muscle parts. So the difference between the two stretches is that static stretching is done independently by moving the body itself, while passive stretching is done using outside help.

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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.

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.

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Approximately 27% of everything in the universe is dark matter, with dark energy making up 68%. This means that all the visible matter we can see, including galaxies, stars and planets, only represents 5% of everything that exists.

The matter of the universe is a complex and ongoing question that scientists are still working to answer. Generally, it is believed that the universe is composed of dark matter, dark energy, and ordinary matter.

Dark energy is thought to be the energy that is causing the universe to expand, while dark matter is an unseen form of matter that is believed to make up about 27% of the universe. Ordinary matter is the form of matter that makes up:

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A negatively charged object is one that has more electrons than protons.

A negative charge is present when an object has more electrons than protons. An atom has a positive charge when there are more protons than electrons in it. The charges of protons are positive while those of electrons are negative. The coulomb is used to measure charge (C).

The opposite of a charge's attraction is the opposite of its repellency. Therefore, a positive charge attracts a negative charge, whereas two negative charges repel one another. Along the boundary between the two charges, attraction or repulsion occurs.

Along the line that connects the centres of the two objects, the force is applied in that direction. Coulomb's law results in a negative value if the two charges have opposing signs. As a result, the force separating the particles is an attractive force.Coulomb's law produces a favourable outcome if the two charges have the same signs.

Therefore, the answer is 12.4 c positive.

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Two objects with negative charges of 6.2 nC (Coulomb) each are separated by 0.3 m. the size and direction of the force between the two charges is 3.8387038*10^12 N and toward left.

Solution:

Given :

Two objects with negative charges of 6.2 nC (nano coulomb ) each.

Separation= 0.3 m.

We will use the following Coulomb’s Law.

F = k*|q1| |q2|/r2             ∵ where k = 8.9876 × 109 N·m2

Putting the values, we get

F = 8.9876 × 109*|6.2| |6.2|/0.3^2

F=3.8387038*10^12 N

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The magnitude of the net electric field is 2.7 x 10^9 N/C, and the direction is away from the positive charge and towards the negative charge.

The magnitude of the electric field due to the positive charge at the midpoint is:

E = k * q / r^2

E = (9.0 x 10^9 N * m^2/C^2) * (20.0 x 10^-6 C) / (0.20 m)

E = 4.5 x 10^9 N/C

The magnitude of the electric field due to the negative charge at the midpoint is:

E = k * q / r^2

E = (9.0 x 10^9 N * m^2/C^2) * (-8.00 x 10^-6 C) / (0.20 m)

E = -1.8 x 10^9 N/C

The direction of the electric field due to the positive charge is away from the charge, and the direction of the electric field due to the negative charge is towards the charge.

To find the net electric field, we add the vectors of the two electric fields. Since the vectors are in opposite directions, we subtract the negative vector from the positive vector.

E_net = E_positive + E_negative

E_net = (4.5 x 10^9 N/C) + (-1.8 x 10^9 N/C)

E_net = 2.7 x 10^9 N/C

The magnitude of the net electric field is 2.7 x 10^9 N/C, and the direction is away from the positive charge and towards the negative charge.

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The final velocity of the freight train is 27 m/s that accelerates at a rate of 0.050 m/s2 for 8.0 min, starting with an initial velocity of 3.0 m/s.

Information given:

Acceleration is 0.050 m/s²

Time is 8.0 min

Initial velocity is 3.0 m/s

We apply the resulting equations for rectilinear motion at constant acceleration to this problem.

a = (v - u)/t

where the,

a is acceleration

u and v are the initial and final velocities, respectively

s is the distance

t is the time

Substituting the values in the equation:

The solution is as follows:

a = (v - v₀)/t

0.050 m/s² = (v - 3 m/s)/(8 min * 60 s/1 min)

Time: 480 sec

Solving for v,

24=v-3

v=27 m/s

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The length of the diagonal member is 20 ft, and if its modulus of elasticity is 30,000,000 psi. If the strain in the diagonal member is measured as 0. 001200 in, the elongation of the member is 29 inches.

A truss is constructed of a number of components, such as beams, connected at nodes to create a rigid framework. According to engineering definition, a truss is a structure that "consists of merely two-force members, where the members are placed so that the assembly as a whole behaves as a single entity."

A truss is a piece of furniture comprised of components arranged into linked triangles that function as a single unit. Trusses are most typically used in towers, roofs, and bridges. If a truss' members essentially lie on a single plane, it is referred to as a plane truss.

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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

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Answer: The length of the pendulum is approximately 2.495 meters.

Explanation:

The period of a simple pendulum is the time it takes for the pendulum to swing back and forth through one full oscillation. The period of a simple pendulum is related to the length of the pendulum and the acceleration due to gravity (g) by the formula:

Period = 2 * pi * sqrt(length / g)

In this case, you are given that the period of the pendulum is 3 seconds and the value of g is 9.98 ms-2. You can use these values to solve for the length of the pendulum using the formula above.

Substituting in the values given, you get:

3 = 2 * pi * sqrt(length / 9.98)

Solving for length, you get:

length = (3 / (2 * pi))^2 * 9.98

= 0.5^2 * 9.98

= 0.25 * 9.98

= 2.495

Therefore, the length of the pendulum is approximately 2.495 meters.

Static stretches are those in which you remain in a single position—standing, sitting, or lying still—for up to 45 seconds. Dynamic stretches are regulated motions that get your ligaments, muscles.

Movement is included into dynamic stretches, such as lunges with a torso twist. As opposed to dynamic stretches, static stretches include holding a stretched position for a while. Stretches that are static include the triceps stretch and the butterfly stretch.

A swimmer might, for instance, circle their arms before entering the water. A series of movements to get the body moving before engaging in any kind of exercise can also be considered dynamic stretches.

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