A block with a mass of 30.0 kilograms (kg) is held against a spring with a force constant of k = 1.25×105 N/m. The spring is initially compressed 17.5 centimeters (cm) from equilibrium. Then the block is released, setting it into motion. The block initially slides along a frictionless surface, but then it encounters a 1.50 meter long rough patch where the coefficient of kinetic friction is 0.134. It then slides down a frictionless ramp, which is tilted at an angle of 19.5 degrees and has a length of 2.50 meters. How fast is the block moving when it reaches the bottom of the ramp? Give your answer in meters per second (m/s). Hint: use WNC = ΔK + ΔU.

Q: In a popular new hockey game, the players use small launchers with springs to move a 0.003-kg puck.…

A: The mass of a puck is, m=0.003 kg The spring constant is, k=135 N/m The displacement of the spring…

Q: A block of mass m = 3.25 kg slides along a horizontal table with speed up = 7.50 m/s. At x = 0, it…

A: Given data:The mass of the block is The initial speed of the mass The spring constant The…

Q: A toy rocket is launched straight up by using a spring. The rocket is initially pressed down on the…

A: Given data:  The spring compressed by length (x) = 9 cm = 0.09 m Spring constant (k) = 1070 N/m Mass…

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

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

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Q: A block slides on a rough horizontal surface. The block hits a spring with a speed of 2.00 m/s and…

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Q: 61.When a 3.0-kg block is pushed against a massless spring of force constant constant 4.5×10' N/m,…

A: To determine: The coefficient of kinetic friction between the block and the surface Given: Force…

Q: A 1.42-kg box rests atop a massless vertical spring with  k = 3960 N/m  that has been compressed by…

A: Given data:  Mass (m) = 1.42 kg Spring constant (k) = 3960 N/m Comparison in spring (x) = 13.5 cm =…

Q: A 1.30-kg object slides to the right on a surface having a coefficient of kinetic friction 0.250…

A: using conservation of energy initial kinetic energy = elastic spring potential energy + frictional…

Q: A 2.0 kg block is pushed against a horizontal spring compressing the spring by 15 cm.  When the…

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Q: One end of a spring with a force constant of k = 10.0 N/m is attached to the end of a long…

A: “Since you have posted a question with multiple sub-parts, we will solve first three sub-parts for…

Q: Thanks!!

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

Q: A block of mass 15.0 kg slides from rest down a frictionless 40.0° incline and is stopped by a…

A: Given:Mass of the block, m = 15 kgInclination of the plane = 40 degreesSpring constant, k = 3.4 ×104…

Q: In the figure, a block of mass m = 3.30 kg slides from rest a distance d down a frictionless incline…

A: Mass (m) = 3.3kg   θ = 35.0 ˚ ( Angle of inclination)   Spring constant (k)= 450N/m  Compression (x)…

Q: A 7.00 ✕ 105 kg subway train is brought to a stop from a speed of 0.500 m/s in 0.400 m by a large…

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Q: A spring-mass system has a spring with spring constant k=65.0 N/m and a 800.0 gram mass on the end…

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Q: A block of mass ?=3.53 kgm=3.53 kg is attached to a spring, which is resting on a horizontal…

A: Given,Mass of the block, m = 3.53 kgspring is compresed by the length, x = 5.00 cmequilibrium…

Q: A 1.2 kg block is held at rest against a spring with a force constant k = 750 N/m. Initially, the…

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Q: A 2.10 kg mass is pushed against a horizontal spring of force constant 28.0 N/cm on a frictionless…

A: The velocity of the mass is maximum when the potential energy stored in the spring is zero.…

Q: A toy cannon uses a spring to project a 5.28-g soft rubber ball. The spring is originally compressed…

A: mass = 5.28 g original compression (d) = 4.90 cm k = 8.01 N/m d1 = 15.9 cm f =  0.0323 N

Q: A block of mass ?=3.53 kgm=3.53 kg is attached to a spring, which is resting on a horizontal…

A: The work done(W) done by a spring force(F) in pushing the block can be given as, W = 12K[(xi)2 -…

Q: A block of mass m-2.95 kg slides along a horizontal table with speed v0-6.00 m/s. At x=0, it hits a…

A: Answer the following question

Q: A horizontal spring (with spring constant 180 N/m) is attached to the wall at the left, and a 10 Kg…

A: Given: The spring constant is 180 N/m. The mass of the object attached to the spring is 10 kg. The…

Q: A 2.75 kg block on a horizontal floor is attached to a horizontal spring that is initially…

A: From conservation of energy,

Q: A toy cannon uses a spring to project a 5.35-g soft rubber ball. The spring is originally compressed…

A: Given that, m =5.35 g =5.35 x 10-3 kg x =4.96 cm =0.05 m k =8.02 N/m d =15.8 cm =0.16 m fk =0.0319 N

Q: A 0.87 kg block on a connected to a spring (whose spring constant is 3.80 N/m). The horizontal…

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Q: 1.30 kg object slides to the right on a surface having a coefficient of kinetic friction 0.250 (Fig.…

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Q: A 1.20-kg object slides to the right on a surface having a coefficient of kinetic friction 0.250 .…

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Q: The spring of a spring gun has force constant k = 435 N/m and negligible mass. The spring is…

A: Given- Spring constant,k= 435N/m Mass of ball= 23 g Spring compression= 6.8 cm

Q: A block of mass m=3.53 kg is attached to a spring, which is resting on a horizontal frictionless…

A: The graph of force and position is a straight line.  The graph shows that force is a function of x.…

Q: Physics students do an expriment to determine the coefficient of kinetic friction between a wooden…

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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: A block of mass m = 3.08 kg is attached to a spring that is resting on a horizontal, frictionless…

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Q: A 1.10-kg object slides to the right on a surface having a coefficient of kinetic friction 0.250…

A:

Q: A 12 kg block is released from point A as shown in the figure.  Its path from A to the spring is…

A:

Q: A 1.30-kg object slides to the right on a surface having a coefficient of kinetic friction 0.250…

A: (a) Applying law of conservation of mechanical energy between (b) and (c) in figure…

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,…

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.