A scene in a movie has a stuntman falling through a floor onto a bed in the room below. The plan is to have the actor fall on his back, but a researcher has been hired to investigate the safety of this stunt. When the researcher examines the mattress, she sees that it effectively has a spring constant 65144 N/m for the area likely to be impacted by the stuntman, but it cannot depress more than 13.55 cm without injuring him. To approach this problem, consider a simplified version of the situation. A mass falls through a height of 3.32 m before landing on a spring of force constant 65144 N/m. Calculate the maximum mass that can fall on the mattress without exceeding the maximum compression distance.

Q: A block of mass 0.25kg is placed on top of a light, vertical spring of force constant 5800 N/m and…

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Q: When the end of a spring is displaced from its rest position by 7.8 cm, the spring’s restoring force…

A: We have,stiffness of the spring k =forcedeflection

Q: A block attached to a horizontal spring with a spring constant k = 100 N/m is displaced to x = +6 cm…

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Q: A vertical spring with elastic constant 95 N/m is compressed by 25 cm, and an object of mass 350 g…

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Q: A scene in a movie has a stuntman falling through a floor onto a bed in the room below. The plan is…

A: Spring constant (k)= 65144 Nm Compression (d) = 14.65 cm Height of mass above the spring (h) = 4.12…

Q: A 3.00 kg block on a horizontal floor is attached to a horizontal spring that is initially…

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Q: A system contains an ideal horizontal spring, with an un-stretched length of 8 N/cm. Calculate the…

A: Write the given values with the suitable variables. x1=29 cm=0.29 mx2=32 cm=0.32 mk=8 N/cm=800 N/m…

Q: A 690 gram block is released from a height h0 above the top of an ideal spring of spring constant…

A: mass of block (m) = 690 gram or m = 0.69 kg spring constant (k) = 400 N/m  compression in spring (x)…

Q: A block of mass m=1.4 kg is attached to a spring of spring constant k = 140 N/m. The block has been…

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Q: How far a spring extended if it has 2.5J of elastic potential energy and its spring- constant is…

A: The formula of the elastic potential energy of a spring is  U=0.5 K x2 where, K is the spring…

Q: A scene in a movie has a stuntman falling through a floor onto a bed in the room below. The plan is…

A: Potential energy possessed by the mass at the given height is converted into the spring potential…

Q: 2. At the instant shown in the figure, an external force has pushed the 227 kg against the spring,…

A: Given, mass of the block, m = 227 kgspring is compressed by, x = 0.15 mspring constant, k = 17500…

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 block with weight w = end of a vertical spring with a spring constant k. The spring is stretched…

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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: 1.25 m 6) A 20.0-g object is placed against the free end of a spring (with spring constant k) that…

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

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Q: You and a friend get jobs at a warehouse where you must carry boxes, each having a mass of 2.5 kg,…

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Q: A light spring with spring constant 1100 N/m hangs from an elevated support. From its lower end…

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Q: A block attached to a horizontal spring with a spring constant k = 200 N/m is displaced to x = +6 cm…

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Q: IY A 0.25-kg block along a horizontal track has a speed of 1.5 m/s immediately before colliding with…

A: Spring Potential Energy: P.E=12kx2 explain the sum of the energy saved in the spring when it is…

Q: sin A 3 kg block at the bottom of a 37 frictionless inclined plane is given an initial velocity of 6…

A: Given: Mass of the block m = 3 kg. Inclination angle of ramp θ=37o Initial velocity of block u = 6…

Q: A 0.600 kg block is attached to the top of a vertical spring (with spring constant 78.4 N/m) and…

A: Given values: Mass of the block, m=0.600 kg Spring constant, k=78.4 N/m

Q: A block of mass 3.20 kg is placed against a horizontal spring of constant k = 725 N/m and pushed so…

A: The elastic potential energy is given by U=12kx2

Q: A block of mass 2.40 kg is placed against a horizontal spring of constant k = 885 N/m and pushed so…

A: (a) The elastic potential energy of the block spring system is,

Q: Mickey, a daredevil mouse of mass 0.0231 kg, is attempting to become the world's first "mouse…

A: Given data The mass of the mouse is m = 0.0231 kg. The force constant of the spring is k = 62.7 N/m.…

Q: Mickey, a daredevil mouse of mass  0.0203 kg, ,  is attempting to become the world's first "mouse…

A: Data Given ,  Mass of the mouse ( m ) = 0.0203 kg  Gun's spring constant ( k ) = 62.1 N/m Stretch…

Q: A 0.250-kg block resting on a frictionless, horizon- tal surface is attached to a spring whose force…

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Q: In a "worst-case" design scenario, a 2000 kg elevator with broken cables is falling at 4.00 m/s when…

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Q: Mickey, a daredevil mouse of mass 0.0227 kg, is attempting to become the world's first "mouse…

A: Given that:Mass of the mouse: m=0.0227 kgForce constant, k=75.5 N/mCompression of spring, x=0.131…

Q: A 120 g arrow is shot vertically from a bow whose effective spring constant is 430 N/m. If the bow…

A: Given data: Mass (m) = 120 g = 0.120 kg Spring constant (k) = 430 N/m Spring compressed by distance…

Q: The length of the Achilles tendon increases 0.500 cm when the force exerted on it by the muscle…

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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: A spring with a k = 15.3 N/m hangs 3.5 cm above a tabletop when a 400 g mass is hung from it. If the…

A: Spring constant of spring: k = 15.3 N/m Mass on spring attached: m = 400 g = 0.400 kg Distance…

Q: Mickey, a daredevil mouse of mass 0.0201 kg, is attempting to become the world's first "mouse…

A:

Q: 8) It takes 87 J of work to stretch an ideal spring from 1.4 m to 2.3 m from equilibrium. What is…

A: Given Data:- Work done to stretch the spring is W=87 J. Stretching distances from equilibrium are…

Q: A block of mass m = 6.23 kg is attached to a spring that is resting on a horizontal, frictionless…

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Q: A scene in a movie has a stuntman falling through a floor onto a bed in the room below. The plan is…

A:

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: 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: A box with mass m=3.0 kg is attached to the lower end of a relaxed vertical spring of force constant…

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Q: A block attached to a horizontal spring with a spring constant k = 200 N/m is displaced to x = +6 cm…

A: Frequency of oscillations is proportional to spring constant and inversely to mass. A restoring…

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

A: Given,Magnitude of the force required to compress an imperfect horizontal springFb = kx + bx3mass of…

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

A: Hint:  As non conservative forces are absent so we can conserve energy. spring energy at bottom=…

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.