A Jack-in-a-box is a children's toy, where a doll (the "jack"), attached to a compressed spring, is secured in a closed box. The box is resting on a smooth horizontal surface when it is knocked over, causing the lid of the box to open. The energy stored in the spring is released and the doll is propelled out of the box along the horizontal surface. If the spring has a spring-constant 36 N/m, how much energy (in Joules) was stored in the spring if the base of the doll moves 0.9 m out of the box.

Q: A pendulum with a length of 0.75 m and a mass of 4 kg is swinging consistently swinging back and…

A: we will use energy conservation for this problem because at the bottom there will be no potential…

Q: A 5.50-kg birthday present is sliding down a curved hill with an initial speed of 3.80 m/s. While it…

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Q: A 10.0 kg block is released from rest at point A in figure P8.63. The track is frictionless except…

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Q: Spring Rebound. A 1.00 kg object slides across a rough horizontal surface. The coefficient of…

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Q: A 5.80-kg block is set into motion up an inclined plane with an initial speed of v; = 7.40 m/s (see…

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Q: The block remains on the track at all times. (b) Calculate d. _____

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Q: A 12.0 kg bowling ball (solid sphere) is rolling along a track at 2.7m/s. It then rolls up a ramp…

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Q: A box of mass m=12.0 kg is located at the top of a ramp of height h=8.00 m, as shown in the figure.…

A: Given mass of the object is m = 12 kg; Initial height of the object h = 8 m; coefficient of the…

Q: A block of mass 0.610 kg is pushed against a horizontal spring of negligible mass until the spring…

A: Given data, mass of the block, m = 0.610 kg force constant, K =  450 N/m radius of the track, R = 1…

Q: A moving 4.50 kg block collides with a horizontal spring whose spring constant is 447 N/m. ellle The…

A: Given Mass of the block (m) = 4.50 kgSpring constant (k)  = 447 N/m

Q: A small 0.70-kg box is launched from rest by a horizontal spring as shown in the figure below. The…

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Q: A small box with mass 0.600 kg is placed against a compressed spring at the bottom of an incline…

A: Given data: The mass of the box is m=0.600 kg. The angle of inclination is θ=37.0∘. The coefficient…

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A: Given data K=260 N/mxi=1 mmxf=6 mm

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A: Given: W=1470 N θ=22∘ v=1.8 m/s F=515 N d=5m

Q: Below is a conservation of energy problem. The solution to this problem is provided. Assess whether…

A: The solution is definitely not correct .Also the Question is itself incorrect at last line where it…

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Q: A small 0.76-kg box is launched from rest by a horizontal spring as shown in the figure below. The…

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Q: A 10-kg block on a rough horizontal surface is attached to a light spring (force constant = 1.4…

A: The block of mass 10 kg is attached to a spring of spring constant 1.4 kN/m m=10 kgk=1.4…

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Q: In the figure, a spring with spring constant k = 150 N/m is at the top of a frictionless incline of…

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Q: The Slingshot is a ride for two people. It consists of a single passenger cage, two towers, and two…

A: Given data: The height of each tower is h=75 m. The distance between towers is d=34 m. The…

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A: Given : mt = 20000 kgv0 = 70 m/sx = 3.5 metersh = 55 metersμk = 0.78θ = 32 degreesL = 11 meters

Q: The mass slides across a rough patch of length 0.57 m where the coefficient of kinetic friction is…

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Q: block with mass m = 12.0kg sits at the top of a ramp with height y1=8.5m. The ramp makes an angle θ…

A: Work done = force × displacement

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A: To solve this problem, we need to apply the law of conservation of mechanical energy, which states…

Q: A 2.0 kg block is pressed up against a spring (k = 44 N/m) that is attached to a wall as shown.  The…

A: Let the initial and the final velocity of the block of mass m be v1 and v2. Suppose the potential…

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Q: A 1.65 kg block slides with a speed of 0.885 m/s on a frictionless horizontal surface until it…

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Q: The elastic energy stored in your tendons can contribute up to 35% of your energy needs when…

A: Spring constant of tendon: k= 33 N/mm=  N/m= 33000 N/mDuring sprint: stretch in tenon: = 45 mm=…

Q: PHY 110 Conceptual Physics Conservation of Energy 9. The 1.25 kg box, starting from rest, slides…

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Q: A block with mass 2.0 kg is situated on a frictionless incline and connected to a light spring (with…

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Q: A 0.100 kg block of ice is placed against a horizontal, compressed spring mounted on a horizontal…

A: When the block of ice is released from the spring, the spring potential energy is equal to the…

Q: A 2-kg block travels from the top of a plane inclined 25° with the horizontal compressing a spring…

A: Given data: Mass of block, m=2 kg Angle of inclination, θ=250 Initial speed, v=0.65 m/s Compression,…

Q: As shown in the figure, a 0.490kg object is pushed against a horizontal spring of negligible mass…

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Q: Energy can be stored within springs to be released later as work done by the spring. The energy…

A: We have to use the formula of potential energy as (1/2)×k×x2. We have the values put in the formula…

Q: The elastic energy stored in your tendons can contribute up to 35% of your energy needs when…

A: The spring constant, k=33 Nmm×1000 mm1 m=33000 N/m   The stretch of nonathletes, xnona thletes=33…

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.