A 10.0 kg mass sliding on a frictionless horizontal surface at 7.00 m/s hits a spring that is attached to a wall. The spring has a spring constant of 5000 N/m. Determine the speed of the box in the above problem when the spring had a compression of 0.100 m. 3.21 m/s 4.52m/s 5.54 m/s 6.63 m/s 6.72 m/s

Q: A 2.90-kg block is released from rest and allowed to slide down a frictionless surface and into a…

A: Mass of box=2.9kg Spring constant=463N/m Height=0.5m

Q: A 2 kg-block (ml) is moving on a frictionless flat table with a 10 m/s speed. The other block, with…

A: Due to the spring attached at the back of the second block, the collision will not elastic but…

Q: A horizontal spring attached to a wall has a force constant of k = 860 N/m. A block of mass m = 2.00…

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Q: A box with mass m = 4.1 kg slides down a ramp that has the angle θ = 29.76°. The kinetic coefficient…

A: Mass of box m=4.1 kg Ramp angle θ=29.76o Coefficient of friction between box and ramp μ=0.29…

Q: A 3.49-kg box placed against a horizontal spring with a force constant ofk= 228.7 N/m compresses the…

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Q: The data in the table was collected by hanging masses on a spring with an unknown spring constant.…

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Q: A block of mass 2 kg is moving to the right with velocity V= 25 m/s. The block then compresses the…

A: Apply principle of conservation of energy 12mv2=12k∆x2mv2=k∆x2k=mv2∆x2  =2 kg25 ms20.5 m2   =5000 Nm

Q: A bullet with mass 4.91 g is fired horizontally into a 2.129-kg block attached to a horizontal…

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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: The launching mechanism of a toy gun consists of a spring of unknown spring constant, as shown in…

A: Given: The compression of the spring is 0.180 m. The mass of the projectile is 19.0 g. The height of…

Q: As shown in the figure below, a box of mass m = 6.00 kg is sliding across a horizontal frictionless…

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Q: A block whose mass is 5.7 kg slides on horizontal frictionless table top with a constant speed of 5…

A: Given values: Mass, m=5.7 kg Speed, v=5 m/s Spring constant, K=1282.5 N/m

Q: In designing a spring loaded cannon, determine the spring constant required to launch a 1.0 kg ball…

A: Given data: Displacement of the ball x=5 cm =0.05m Mass of the ball m=1.0 kg Initial speed v=1.2 m/s

Q: A mass m = 16 kg rests on a frictionless table and accelerated by a spring with spring constant k =…

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Q: A box is pressed against a horizontal spring, compressing the spring from its relaxed length. The…

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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: Robert weighs 650N and is sliding down a frictionless 15 m tall hill. He starts at the top with a…

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Q: An 8.0-g bullet is suddenly shot into a 4.0-kg block that is at rest on a frictionless horizontal…

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Q: An ideal spring is used to stop blocks as they slide along a table without friction. A 0.80 kg block…

A: Given: mass of the block (m) = 0.80 kg                                         speed (v) = 1.6 m/s…

Q: A 1500-kg car moving at 25 m/s hits an initially uncompressed horizontal ideal spring with spring…

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Q: There is a block, call is mass 1 of 1.2kg. It is being compressed 75 mm into a spring with a k value…

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Q: The launching mechanism of a toy gun consists of a spring of unknown spring constant, as shown in…

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Q: As shown in the figure below, a box of mass m = 7.40 kg is sliding across a horizontal frictionless…

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Q: The jumper has a mass of 50 kg, and the bridge's height above the river is 150 m. The rope has an…

A: When we stretch any spring with some external force, the spring is either elongate or squeeze…

Q: A 500-g block is released from rest and slides down a frictionless track that begins 1.90 m above…

A: Given data: Mass of the block is, m = 500 g = 0.5 kg Height of the block from horizontal is, h =…

Q: A moving 3.50 kg block collides with a horizontal spring whose spring constant is 241 N/m. elll The…

A: Given information: Here, m is block’s mass, k is spring constant, xmax is the maximum elongation in…

Q: As shown in the figure below, a box of mass m = 9.80 kg is sliding across a horizontal…

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Q: A ball of mass m = 1.80 kg is released from rest at a height h = 65.0 cm above a light vertical…

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Q: maximum height above the point of release

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Q: a box of mass  m = 9.20 kg  is sliding across a horizontal frictionless surface with an initial…

A: (given)              Mass of box = 9.20 kg              Initial speed = 2.80 kg Spring constant ( k…

Q: a) Find the the work required to stretch the spring.   (b) Find the speed the block has as it…

A: Given, Mass of the block= 2 kg Force constant of the spring k=4.70×102 N/m The initial position of…

Q: 8. A vertically mounted spring (k = 800 N/m) is compressed by 21.0 cm relative to its unstrained…

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Q: The Potential energy stored in a car Shock Absorber which is compressed by 20 cm is 50 J. The Spring…

A: Potential energy stored in a spring is given by: PE = (1/2)*k*x^2 k = spring constant = ? PE = 50 J…

Q: A toy gun shoots a small ball with mass 5.27-g by compressing a spring and usig the spring to push…

A: mass of ball (m) = 5.27 g = 0.00527 kg compression of spring (y) = 5.08 cm= 0.0508 m spring constant…

Q: A 10 kg runaway grocery cart runs into a spring with spring constant 250 N/m and compresses it by 60…

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Q: An object of mass 15 kg is released at point A, slides to the bottom of the 30° incline, then…

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Q: A 1.4 kg block is initially falling downward toward the top of a vertical spring. At the instant the…

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Q: 2. A spring (k = 72 N/m) releases object 1 with a force of 36 N. The object slides down a ramp and…

A: Given: K=72 N/m F = 36 N work done by friction = 8.6 J initial height h = 2.0m

Q: An object of mass 1.25 kg at the bottom of a ramp is given an initial speed of 4.45 m/s up the 30.0°…

A: m=1.25 kgθ=300K=Spring ConstantV1=Initial Velocity=4.45 m/sV2=Final Velocity =0μ=0.250s1=1+0.350…

Q: As shown in the figure below, a box of mass m = 5.80 kg is sliding across a horizontal frictionless…

A: At the moment the spring was fully compressed, the box comes to momentary at rest. At this point,…

Q: A box is pressed against a horizontal spring, compressing the spring from its relaxed length. The…

A: Solution: (1)  Maximum height attained by the box is only depends on angle of projection and initial…

Q: A 3.00 kg block on a horizontal surface is placed (not attached) at rest against a horizontal…

A: The given data: The mass of the block, m = 3.00 kg The weight of the block, W = mg = 3×9.8 = 29.4 N…

Q: Mickey, a daredevil mouse of mass 0.0221 kg, is attempting to become the world's first "mouse…

A: Given: The mass of mouse m = 0.0221 kg. The force constant of spring k = 86.3 N/m compression of…

Q: A 1500-kg car moving at 25 m/s hits an initially uncompressed horizontal spring with spring constant…

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Q: A block of mass m = in front of a relaxed horizontal spring of spring constant k = 200 N/m fixed at…

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Q: 12. A 5.00 [kg] block is set into motion up a ramp with initial = speed of vi 8.00 [m/s]. The ramp…

A: mass of block (m) = 5 kg initial velocity (u) = 8 m/s coefficient of kinetic friction = 0.5θ = 30…

Q: 900 kg safe is 1.5 m above a heavy-duty spring when the rope holding the safe breaks. The safe hits…

A: Given: The mass of the safe is 900 kg. The height of the safe from the spring is 1.5 m. The maximum…

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.