A 5.00x105 kg subway train is brought to a stop from a speed of 0.500 m/s in 0.400 m by a large spring bumper at the end of its track.  What is the force constant k of the spring? Group of answer choices 781 kN/m 625 kN/m 100 kN/m 6.25 N/m

Q: The massless spring of a spring gun has a force constant k = 14.5 N/cm. When the gun is aimed…

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Q: A 5.00 ✕ 105 kg subway train is brought to a stop from a speed of 0.500 m/s in 0.900 m by a large…

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Q: A very light spring with spring constant K = 500 N/m is hung (es) by a fixed ceiling. Two forces F,…

A: Given, Spring constant, k = 500 Nmforces, F1 = F2 = 20 N

Q: A toy car of mass m is pushed along a frictionless track so that it is moving at a speed v1. It hits…

A: SOlution:

Q: Bumper car "A' , with mass 54.0 × 104 kg, coasts across a level track at 4.50 m/s when it collides…

A: Given Mass of car A is mA= 54.0 × 104 kg Initial velocity of car A is vA=4.50 m/s maximum…

Q: A ball of mass m = 2.00 kg is released from rest at a height h = 72.0 cm above a light vertical…

A: a) let speed of the ball just as it touches the spring is v  by mechanical energy conservation…

Q: A 100-kg Cabrillo student is launched by a spring (k = 80,000 N/m) that is initially compressed by…

A: The energy of interacting bodies or particles in a closed system remains constant due to…

Q: A 1.68 kg ball rolls on a frictionless horizontal surface at 4.52 m/s and collides with a stationary…

A: Write the given values with the suitable variables. m1=1.68 kgu1=4.52 m/sm2=1.22 kgu2=0 m/sk=1758…

Q: The massless spring of a spring gun has a force constant k = 11.5 N/cm. When the gun is aimed…

A: The springs have a tendency to return to its original position when no force is applied on it. The…

Q: Springy A 5.0 [kg] block hits a spring with spring constant of 150[N/m]. The spring was compressed…

A: According to the principle of conservation of energy, the total energy of the system must be…

Q: A 3.31-kg box placed against a horizontal spring with a force constant of k = 236 N/m compresses the…

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Q: A 2.00-kg block is pushed against a spring with negligible mass and force constant compressing it…

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Q: A 4.50 x 105 kg subway train is brought to a stop from a speed of 0.500 m/s in 0.800 m by a large…

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Q: The horizontal surface on which a block slides is frictionless. The speed of the block is 6.0 m / s…

A: Here, ∆K=-UsKf-Ki=Ui-Uf      (Ui=0)Kf=Ki-Uf=12mvi2-12kxf2

Q: A 40.0-gram rock is attached to a horizontal spring with a force constant of 11.0 N/m. The spring is…

A: Given: The mass of the rock is 40 g. The spring constant is 11 N/m. The amplitude of the system is…

Q: A spring gun (k= 28.0 N/m) is used to shoot a 41.3-g ball horizontally. Initially the spring is…

A: Given: The spring constant is 28 N/m. The mass of the ball is 41.3 g. The initial compression in the…

Q: A 6.00 x 105 kg subway train is brought to a stop from a speed of 0.500 m/s in 0.500 m by a large…

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Q: A 6.50 ✕ 105 kg subway train is brought to a stop from a speed of 0.500 m/s in 0.600 m by a large…

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Q: In the figure, a block of mass m = 15 kg is released from rest on a frictionless incline of angle 0…

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Q: 50 N/m |0.5 kg X = -0.3 m X = 0m X = 0.3 m A block of mass 0.5 kg on a horizontal surface is…

A: We will use Hooke's Law for this :-                  F = -k x   Negative sign denotes that the force…

Q: A ball of mass m = 1.75 kg is released from rest at a height h = 57.0 cm above a light vertical…

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Q: A 6.00 x 105 kg subway train is brought to a stop from a speed of 0.500 m/s in 0.500 m by a large…

A: Given data: Mass (m) = 6.00 × 105 kg Initial velocity (v0) = 0.500 m/s Final velocity (v) = 0 m/s…

Q: A ball of mass m = 1.50 kg is released from rest at a height h = 73.0 cm above a light vertical…

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Q: What is the maximum compression x of the spring?

A: As per the conservation law of energy. Here, E, K, U, m, h, v, k, and x represent the car’s total…

Q: spring with a constant of 50.0 N/cm. The launcher is prepared by compressing the spring by 5.00 cm.…

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Q: In the figure, a block of mass m = 15 kg is released from rest on a frictionless incline of angle 0…

A: (a) Draw the free-body diagram of the block.

Q: A 2.00-kg block is pushed against a spring with negligible mass and force constant compressing it…

A: Given data: Mass of block is, m=2.00 kg. Spring compression is, x=0.220 m. Angle of inclination is,…

Q: A 4.50 ✕ 105 kg subway train is brought to a stop from a speed of 0.500 m/s in 0.600 m by a large…

A: Given data:  Mass (m) = 4.50×105 kg Speed (v) = 0.500 m/s Distance (x) = 0.600 m Required: The force…

Q: The desperate contestants on a TV survival show are very hungry, but the only food they can see is…

A: Let the spring constant of the spring be k, the maximum compression of the spring be x, and the mass…

Q: 2M Two blocks, of masses M = 4.0 kg and 2M, are connected to a spring of spring constant k = 150 N/m…

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Q: A block of mass m=0.25 kg starts at rest at the top of an inclined plane of height h=0.8 m as shown…

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Q: A hockey puck sliding along frictionless ice with speed ν to the right collides with a horizontal…

A: Given ,  speed of hockey puck before colliding with spring , u1 =v               speed of hockey…

Q: 0.5-kg ball having a speed of 2 m/s hits a horizontal spring of k = 800 N/m and comes to rest…

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Q: Mr. M places his daughter so she is standing upright on a pogo stick.m She has a mass of 22kg. He…

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Q: A 2.85 kg block on a horizontal floor is attached to a horizontal spring that is initially…

A: From the conservation of energy: The work done by friction on the block is:

Q: A bullet of mass 1.3×10−3 kg embeds itself in a wooden block with mass 0.996 kg, which then…

A: Given Data The mass of the bullet is m1 = 1.3 x 10-3 kg The mass of the block is m2 = 0.996 kg. The…

Q: A 1.62 kg ball rolls on a frictionless horizontal surface at 4.59 m/s and collides with a stationary…

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Q: A toy gun uses a spring to project a 6.3-g soft rubber sphere horizontally. The spring constant is…

A: Consider the initial velocity of the soft rubber sphere is zero and the spring reaches its mean…

Q: A toy gun uses a spring to project a 5.4-g soft rubber sphere horizontally. The spring constant is…

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Q: A toy car of mass m is pushed along a frictionless track so that it is moving at a speed v1. It hits…

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Q: 110

A: Spring constant (k)= 40 N/mmass (m)= 0.5 kg θ = 30o∆x (compression) = 0.20 m

Q: 3) Spring A has K=37.0kg/m Spring B has K = 82.0 kg/m Spring A and B are joined together end to end…

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Q: A 5.00 ✕ 105 kg subway train is brought to a stop from a speed of 0.500 m/s in 0.300 m by a large…

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Q: The massless spring of a spring gun has a force constant k = 12 N/cm. When the gun is aimed…

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Spring Potential Energy

The potential energy is the energy possessed by a body by virtue of its position or the energy held by the object due to its position relative to other objects, its force like stresses, charge, and other factors affecting the particles of the body. The potential energy is the measure of the net work done by or on the body. The spring potential energy is the potential energy stored due to the deformation of an elastic spring and this elasticity is due to the stretched spring. The elasticity is the ability of a solid-state matter to come back to its equilibrium position or original position after any kind of external force is acted on it. It is also known as Elastic potential energy. The potential energy here is caused due to the displacement of the spring from its equilibrium position to another position and this potential energy is equal to the net work done due to the stretching of the spring. It also resembles the same mechanics of the oscillation of a simple pendulum, where due to the external force, the object moves from its equilibrium position to its maximum ends and the periodic motion continues till it comes back to the equilibrium position to rest.