A spring with a force constant of 225 N/m is resting on a frictionless surface and mounted horizontally on a wall. A 1.5 kg box is pushed against the spring, compressing it 12.0 cm from equilibrium. When released, the spring pushes the box across the floor.  a) How much force must be exerted on the spring to compress it 12.0 cm?  b) How much elastic potential energy is stored in the spring while it is compressed?  c) Once released, what maximum speed will the box attain?

Q: 2. A 2.70 kg block starts from rest and slides a distance d down a frictionless 32.1° inclined…

A: Mass of the block m=2.7 kg and angle of incline is 32.1o. The block starts from rest (u=0) and comes…

Q: A horizontal spring attached to a wall has a force constant of k = 830 N/m. A block of mass m = 1.40…

A: Formula of potential energy of spring mass system is as follows: E=12kxi2…

Q: A 34.0 cm long pendulum with a 245-g bob swings through at an angle of 180 degrees. Choose the…

A: L =34 cm  mass, m = 245 g = 0.245 kg

Q: A 0.30 kg ladle sliding on a horizontal frictionless surface is attached to one end of a horizontal…

A: Here, the force applied by the spring in the ladle at the equilibrium position is zero. Therefore,…

Q: Q: A block of mass 0.50 kg is placed on top of a light vertical spring of force constant 7500 N/m…

A:

Q: A horizontal spring has a constant k = 360 N / m. a) How much work is required to compress it from…

A: Given data: Spring constant of spring is, K = 360 N / m Naturally spring is at, x0= 0 cm After the…

Q: A large fake cookie sliding on a horizontal surface is attached to one end of a horizontal spring…

A:

Q: A block with mass m = 3.27 kg is placed against a spring on a frictionless incline with angle θ =…

A: (a)Elastic potential energy is,

Q: I need help with this homework problem.

A:

Q: 5. A bow with an arrow is drawn back 0.50 m. The bow has a spring constant of 500 N/m. problem. (a)…

A: Given: The displacement of the bow with the arrow is 0.5 m. The spring constant of the system is 500…

Q: Khufra works at a spring factory and he was assigned to test a certain spring, whose constant is 50…

A:

Q: When a 2.40-kg object is hung vertically on a certain light spring described by Hooke's law, the…

A: According to hook's law -  Force is directly proportional to the the displacement -  F=kx Where,  k…

Q: A block of mass 3.20 kg is placed against a horizontal spring of constant k = 865 N/m and pushed so…

A:

Q: a) How much force must be exerted on the spring to compress it 12.0 cm?  b) How much work is done on…

A: Please post the remaining questions separately!

Q: 1. A particle moves in one dimension and is subject to a conservative force, whose potential energy…

A: U(x) = ax3 - bxforce = - d[U(x)]/dxF = - 3ax2 + b At equilibrium position F = 0 = - 3ax2 + b 3ax2 =b…

Q: Justin works at a spring factory and he was assigned to test a certain spring, whose constant is 50…

A:

Q: The tension in a ligament in the human knee is approximately proportional to the extension of the…

A: K = 163N/mm K = 163000 N/m x = 0.76 cm x = 0.0076 m

Q: A block with mass m = 1.51 kg is placed against a spring on a frictionless incline with angle 0 =…

A:

Q: A horizontal spring attached to a wall has a force constant of k = 860 N/m. A block of mass m = 1.80…

A:

Q: A block with mass m = 2,5 (kg] slides head-on to a spring with spring constant k = 320 [N/m). When…

A:

Q: In the figure, a block of mass m = 3.90 kg slides head on into a spring of spring constant k = 320…

A: Given information: Here, m is the block’s mass, k is the spring’s constant, x is the compression,…

Q: A spring that is compressed 12.5 cm from its equilibrium position stores 3.42 J of potential energy.…

A: The potential energy stored in a spring=12kx2where k is the spring constantx is length of…

Q: In the figure, a block of mass m = 2.70 kg slides head on into a spring of spring constant k = 440…

A: We need to find work done by spring force, increase in thermal energy of block-floor system and the…

Q: A 2.50-kg block on a horizontal floor is pushed against a horizontal spring that is initially…

A: (a)

Q: A 0.33 kg ladle sliding on a horizontal frictionless surface is attached to one end of a horizontal…

A: Power at equilibrium position will be zero

Q: When a 2.10-kg object is hung vertically on a certain light spring described by Hooke's law, the…

A: (a)The force on the spring is,F=mg                                               m=2.10kg,g=9.8…

Q: An object of mass 4.10 Kg is placed against a spring that is horizontally compressed by 0.07 m to…

A: Given data:  Mass (m) = 4.10 kg Compression in spring (x) = 0.07 m Elastic potential energy (U) =…

Q: Hooke's law spring is compressed 18.0 cm from equilibrium and the potential energy stored is 72.0 J.…

A:

Q: A 50-g mass on the end of a spring at its equilibrium position is stretched a distance of 5.00 cm…

A:

Q: A block with mass m = 2.00 kg is placed against a spring on a frictionless incline with angle 0 =…

A: Given data: The mass of block is m=2.00 kg. The angle of inclination is θ=30°. The spring constant…

Q: It takes a force of 5.00 N to stretch an ideal spring 2.00 cm. (a) What force does it take to…

A: The force applied to stretch the spring F =5.00 N The stretch in the spring x=2.00 cm=2×10-2 m The…

Q: A force of magnitude 720.0 N stretches a certain spring by 0.150 m from its equilibrium position.…

A:

Q: n ideal spring hangs from the ceiling. A 1.65 kg1.65 kg mass is hung from the spring, stretching the…

A: Given that           The mass of the hung (m) = 1.65Kg         stretching the spring a distance(x) =…

Q: A 34 kg child uses a pogo stick to bounce up and down. The spring constant, k, of the toy equals…

A: Given values, Mass of child, m = 34 Kg Spring constant, k = 9400 N/m

Q: A spring with constant k=200 N/m is fixed to the top of an incline that makes an angle of 40.0…

A:

Q: A mass is connected to a horizontal spring. If a force of 13 N is applied to the spring, it…

A: Since you have asked question with multiple sub-parts in a single request, we would be answering…

Q: A horizontal spring attached to a wall has a force constant of k = 780 N/m. A block of mass m = 1.70…

A:

Q: A spring with spring constant k = 200 N/m is fixed at the top of a frictionless plane inclined at…

A:

Q: A spring contains 378 J of potential energy. If the spring has a constant of 56 N/m, what is the…

A:

Q: A large fake cookie sliding on a horizontal surface is attached to one end of a horizontal spring…

A: (a)Using the law of conservation of energy,

Q: A block with mass m = 3.26 kg is placed against a spring on a frictionless incline with angle θ =…

A:

Q: A 2.0 kg block is released slide down a frictionless surface and into a spring. The far end of the…

A: mass (m)= 2 kg surface = frictionlessinitial height (h) = 0.5 m spring constant (k) = 450 Nm

Q: A 34 kg child uses a pogo stick to bounce up and down. The spring constant, k, of the toy equals…

A:

Q: A spring (k = 210 N/m) is fixed at the top of a frictionless plane inclined at angle 0= 34°. A 1.1…

A:

Q: A block with a mass of 2.0kg is held against a spring with a spring constant of 250 N/m. The block…

A: (given)      Mass of a block = 2 kg Spring constant (k) = 250 N/m               x = 22 cm = 0.22 m…

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.