A pen contains a spring with a spring constant of 261 N/m. When the tip of the pen is in its retracted position, the spring is compressed 4.6 mm from its unstrained length. In order to push the tip out and lock it into its writing position, the spring must be compressed an additional 6.7 mm. How much work is done by the spring force to ready the pen for writing? Be sure to include the proper algebraic sign with your answer.

Q: A 0.532-kg object oscillates at the end of a vertical spring. As the spring stretches from 0.12 to…

A: Given:              Mass = 0.532 kg           x1= 0.12m → Vx1= 5.70ms-1           x2= 0.23m → Vx2 =…

Q: Problem 2: You have a spring with a spring constant 3600 N/m. Part (a) If you want to store 135 J of…

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Q: ) A box of mass m= 38 kg which is sliding on a horizontal rough surface and momentarily comes to st…

A: We know that We have given that the mass of 38 kg block moving on a horizontal plane with the…

Q: A 3.70 kgkg block of ice is placed against one end of a horizontal spring that is fixed on the other…

A: Given:-  The mass of the block is m = 3.70 kg  The spring constant of the spring is k = 190 N/m  The…

Q: Treating the wing as an ideal spring, find the force constant of the wing. Express your answer using…

A: Dear student The force applied by spring of force constant K is given by: F = Kx Also the energy…

Q: A 4.0 kg-block attached to a 20 N/m-spring constant spring moves on a frictionless horizontal…

A: Given data: Mass (m) = 4.0 kg Spring constant (k) = 20 N/m Amplitude (A) = 3 m Required: The…

Q: u are asked to design spring bumpers for the walls a parking garage. A freely rolling 1300 kg car…

A: Given that, Mass of car M = 1300 kg  velocity of car V = 0.63 m/sec  compression in spring  x = 8.1…

Q: 61. A child's pogo stick (Fig. P8.61) stores energy in a spring with a force constant of 2.50 X 104…

A: Given: The force constant of the spring is k = 2.5 x 104 N/m The position of A is xA = - 0.1 m The…

Q: A student in a physics lab is asked to classify two springs. Right away, they notice some…

A: Given data: U1 = 10.0 J x1 = 12.0 cm U2 = 20.0 J x2 = 3.00 cm Required: The ratio of the two spring…

Q: Truck suspensions often have "helper springs" that engage at high loads. One such arrangement is a…

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Q: A spring that has a spring constant of k = 221.0 N/m is oriented vertically, with one end on the…

A: An object is said to be in equilibrium when there is no unbalanced force acting. All the forces…

Q: The potential energy of an archer's bow is given by U(x) = bx2 + cx3. The distance at which the…

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Q: gravel Vo The hill is covered in gravel so that the truck's wheels will slide up the hill instead of…

A: Given,mt=15000 kgv0=62m/sx=3.3mh=55mμk=0.71θ=32.3°L=10.1m

Q: An archer pulls back the string on her bow to a distance of 50 cm from its equilibrium. To hold the…

A: Given compressed distance is x= 0.50 m Applied force is F=160 N

Q: As part of your daily workout, you lie on your back and push with your feet against a platform…

A: Given Data, Work Done(W)=81.0 J Compressed distance (x)=0.210 m

Q: block of mass 3.40 kg is placed against a horizontal spring of constant k = 855 N/m and pushed so…

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Q: A linear spring has a free length of 50.1m. When it is under a hanging load of 3261N, its total…

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Q: A 1.7040 kg object is pressed into a spring. The spring constant is 309 N/m. The object is released…

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Q: A spring of force constant 285.0 N/mN/m and unstretched length 0.220 mm is stretched by two forces,…

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Q: The box has a weight of 4 pounds and sits on a frictionless surface. Spring A is initially…

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Q: tion F(x) = ax2 - bx, where a = 65 N/m2, b = 18 N/m, and the positive x direction is in the…

A: GivenF(x)=ax2-bxwherea=65 N/m2b=18 N/m

Q: A block with weight w = 30 N is attached to one end of a vertical spring with a spring constant k.…

A: Weight is balanced by the spring force Then. Kx= W. K= W/x. K=30/.1 K= 300 N/M

Q: A mass is attached to an unusual spring-like object, which has a position- dependent restoring force…

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Q: part c of this problem. A moving 1.70 kg block collides with a horizontal spring whose spring…

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Q: A 10.0 kg block is released from point A in the Figure below. The track is friction-less except for…

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Q: A typical muscle fiber is 2.0 cmcm long and has a cross-section area of 3.1×10^−9m^2When the muscle…

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Q: What is the elastic potential energy of the block-spring system (in J)? J=? If the block is now…

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Q: we explained that when a spring is stretched or compressed from its unstretched position, elastic…

A: Given data U=∫0xFdx

Q: The work F dx done by the force exerted by the spring on a mass attached to the end of the spring…

A: The correct option is (e).    i.e  negative half of the time, positive the other half of time.

Q: eSpring Constant?

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Q: If it requires 4.0 J of work to stretch a particular spring by 2.0 cm from its equilibrium length,…

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Q: A spring with a spring constant of 2130 N/m is compressed 0.166 m from its equilibrium position with…

A: The conservation of energy is , 12kx2=12mv2+mgh

Q: tendons obey Hooke's Law. In laboratory tests on a particular tendon, it was found that, when b)…

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Q: It takes 1.09 J of work to compress a spring 11.1 cm. What is the force constant of the spring in…

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Q: m y A 1.7060 kg object is pressed into a spring. The spring constant is 355 N/m. The object is…

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Q: Questions 1-3 reference the picture of a pendulum. Ignore friction and air resistance. As the…

A: A pendulum oscillates between points A , B and C, where points A and C are the extreme points .Point…

Q: When a 59.6 kg athlete stands on top of a spring instrument, the spring shortens by 4.48 cm. What is…

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

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Q: A block of mass 3.20 kg is placed against a horizontal spring of constant k = 715 N/m and pushed so…

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Q: 22. How much work is required to pump all the water from a right circular cylindrical tank, that is…

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Q: = 6. A horizontal spring has negligible mass, spring constant k 250 N/m, and is fixed at one of its…

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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.