A 6.00 ✕ 105 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?

Q: 40. GO The drawing shows two boxes resting on frictionless ramps. One box is relatively light and…

A: (a)   Consider the lighter box, neglect the friction, use the energy conservation, and solve for its…

Q: In a physics lab experiment, a compressed spring launches a 35 g metal ball at a 35 ∘ angle.…

A:

Q: A 2.0 kg rock is pressed up a distance ∆x = 20 cm against a spring with spring constant 400 N/m and…

A: (a)Scene AThe potential energy due to gravity is,Substitute the values,

Q: A toy cannon uses a spring to project a 5.28 -g soft rubber ball. The spr a force constant of 8.04…

A:

Q: Compressed air is used to fire a 52 g ball vertically upward from a 1.5-m-tall tube. The air exerts…

A: Apply force equilibrium along the vertical direction on the ball, and solve for the acceleration of…

Q: A roaller-coaster cart initially moves with a speed of 8.92 m/s up an incline, without friction. If…

A: Given value--- initial speed = 8.92 m/s. mass = 55.6 kg. final speed = 0 m/s . We have to find---…

Q: (10%) Problem 7: A 5.2 x 10^5 kg subway train is brought to a stop from a speed of 0.65 m/s in 0.39…

A: Using conservation of energy, 12kx2=12mv2k=mv2x2

Q: IN

A: Given: Mass of the block (m) = 19 kg. Angle (θ) = 30 Spring compression (x) = 1.3 cm. = 0.013 m.…

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 particle of mass m is subject to a conservatives force F= a/x i where a is a constant. The…

A: The work done by a conservative force on an object is equal to a change in the kinetic energy of the…

Q: 3. a) The 10 kg block shown in Fig. Q3(a) is subjected to a constant force of magnitude 100 N and is…

A:

Q: In the figure, a 4.3 kg block slides along a track from one level to a higher level after passing…

A: I have used concept of work energy theorem

Q: A box of mass m is pressed against (but is not attached to) an ideal spring of force constant k and…

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Q: A 146-g baseball is dropped from a tree 15.0 m above the ground. With what speed would it hit the…

A:

Q: Thanks!!

A: Basic Details According to the conservation of energy, the energy of the spring would be converted…

Q: In a railroad yard a 35,000 kg boxcar moving at 9.4 m/s is stopped by a spring-loaded bumper mounted…

A: Write the given values with the suitable variables. m=35000 kgv=9.4 m/sk=2.8 MN/m=2.8×106 N/m Here,…

Q: ˆı + 6ˆȷ) for a long time it is observed at the position ⃗rf = (13 ˆı + 8 ˆȷ) m with a speed of 1.5…

A: Given:- The mass of the space junk = 60 kg  the net force Fnet  =(  13 ^i+16^j )N  The initial…

Q: A net force along the x-axis that has x-component Fx=−12.0N+(0.300N/m^2)x^2 is applied to a 3.80 kg…

A:

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: In a railroad yard a 35,000 kg boxcar moving at 7.2 m/s is stopped by a spring-loaded bumper mounted…

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Q: A constant net force of 60.0 N acts on an object initially at rest and acts through a parallel…

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Q: A particle of mass 3.8 kg is constrained to move along the x-axis under a single force F(x) = -cx,…

A: The total mechanical energy of the particle at point A, EA=12mvA2   Substitute, EA=123.8 kg5.7…

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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Q: At the moment when a gunman releases a 8 kg shot, the shot is 24m above the ground and travelling at…

A: Let the maximum height be hmax. let the mass of the shot be m. let the potential energy of the shot…

Q: It's your birthday, and you decide to celebrate by bungee-jumping. You stand on a bridge 100 m above…

A:

Q: A 1.20 kg piece of cheese is placed on a verticalspring of negligible mass and force constant K =…

A: Given data *The mass of the cheese piece is m = 1.20 kg *The given force constant is K = 1800 N/m…

Q: A 200 kg roller coaster is initially moving at 4.0 m/s. The ride reaches a maximum height of 35 m…

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Q: A stone of mass 80 g is dropped onto an unstrained vertical spring with a spring constant k = 0.8…

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Q: 22. A block of mass m-1 kg is held compressing a spring a distance -0.5 m on a smooth horizontal…

A: We are given compression in the spring. We are also given the spring constant. The spring potential…

Q: 50 g ice cube can slide without friction up and down a 30º slope.  The ice cube is pressed against a…

A: Given, mass of ice cube, m=50g = 5×10-2 kg slope angle, θ=30o distance due to spring compression,…

Q: The spring force is initially greater than friction, so the block accelerates forward. But…

A: Given : Xo=0.400m, m =0.300kg  v²(t) =?

Q: 1) A daredevil plans to bungee jump from a balloon 73.0 m above a carnival midway. They will use a…

A:

Q: A cannon with a spring constant of 147 N/m is compressed by 20 cm to shoot marbles of mass 30 g.…

A: Given, spring constant, k = 147 Nm spring compressed by a distance, x = 20 cm = 0.2 m mass of the…

Q: A glider that is 180 kg is pushed by a spring with constant 3.2*10^5 N/m down a water slide track…

A: mass (M) of glider= 180 kg Spring constant (k) = 3.2×105 NmHeight (h) = 35 m coefficient of kinetic…

Q: A 60.0 kg skier with an initial speed of 15 m/s coasts up a 2.50 m high rise as shown in the figure.…

A: By work energy theorem  (1/2)×m×(vf2-vi2) = -mgh - ukmgh  (1/2)×(vf2- 152) = -9.8×2.5×(1+.39)  vf2 =…

Q: A 95 kg sled with a Xmas gift box of 5 kg pushed up horizontal surface together against a spring…

A: Sled and Xmas gift travel together on the path “ABCDEF”. At Point “A” spring is compressed and at…

Q: A 60.7 kg person jumps from rest off a 2.96 m-high tower straight down into the water. Neglect air…

A: Potential energy is given by,

Q: At t=0, force F = (-4.407 +4.00 +3.50k) N begins to act on a 3.30 kg particle with an initial speed…

A: Given: Force F-=(-4.40i +4.00j +3.50k)N begins to act on a 3.30 kg particle with an initial speed of…

Q: A 450 g mass is attached to a vertical spring of length 3.0 cm and stretched it to become 5.0 cm…

A: Given: The mass is 450 g. The original length is 3.0 cm. The final length is 5.0 cm. Introduction:…

Q: 5.A spring of force constant k is cut into two pieces such that one piece is double the length of…

A: The spring having a force constant k is cut into two pieces. One of these pieces has a length double…

Q: An M = 22.4 kg sled slides on a rough horizontal ground.  The sled hits a spring when it is…

A:

Q: The magnitude of the force required to compress an imperfect horizontal spring a distance x is giv…

A: Given data as per questionFbs=k x+bx3k=120 N/mb=18 N/m3m=3.5 kgx=2.2 m

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.