When you stand on a trampoline, the surface depresses below equilibrium, and the surface pushes up on you, as the data for a real trampoline in (Figure 1) show. The linear variation of the force as a function of distance means that we can model the restoring force as that of a spring. A 65 kg gymnast stands on the trampoline. How much does the center of the trampoline compress

Q: A mass is oscillating horizontally on a spring. At the locations A, B, C, D, and E, photogates are…

A: Given: The potential energy at A AP.E.=40 J

Q: I find a spring that is labeled "80 N/m", but it is actually 3.5 inches long. I fasten a beam…

A: The length of the spring is given to be 3.5 inches. And it has been fastened from a beam 789mm above…

Q: Problem 10: The restoring force in a Hooke's Law spring is a conservative force, and hence, the work…

A: (C) Total energy of mass E= 8 joule Equilibrium position of mass is at x=18 CM At x=14cm & 22 cm…

Q: A pendulum is raised to a certain height and released from point A, as shown in the image below. At…

A:

Q: Hi, I am in phyiscs one and they have the problem :When you stand on a trampoline, the surface…

A: Using Hook’s law, the spring constant can be calculated as,

Q: The left end of a spring is attached to a wall. When Bob pulls on the right end with a 200N force,…

A:

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

A: Given : m = 0.250 kg k = 83.8 N/m x = 5.46 cm = 5.46 x 10-2 m

Q: A spring 0.2 m long extends 0.001 m when a mass of 72 kg is hung from it.  How far will a similar…

A: GivenFor spring 1length of spring ,L1=0.2 mMass hung with spring ,m1=72 kgSpring extend to length…

Q: When you stand on a trampoline, the surface depresses below equilibrium, and the surface pushes up…

A:

Q: A child's toy consists of a piece of plastic attached to a spring in the figure below. The spring is…

A: According to the conservation of energy, 12kx2=mghkx2=2mghk=2mghx2

Q: If we assume that all of the energy stored in the trampoline goes into his motion, how high above…

A: Mass m = 72 kgLowest point of his motion, distance d = 0.80 mHigh above this lowest point h =?

Q: A spring is attached to an inclined plane as shown in the figure. A block of mass m is placed on the…

A: Mass = m Distance = d Initial speed = v Incline angle = θ The surface is friction-less.  Let the…

Q: A pulley P is attached to the ceiling at O by a piece of metal that can swing freely. One end of a…

A: The length can be found by applying pythagoras theorem to each triangles formed

Q: Mike attaches a 3.00 kg lead ball to a string to make a pendulum of length 10.0 meters. Let us call…

A: Given that Length of the pendulum (l) =10m Mass attached to the string (m) =3kg The displaced height…

Q: of k = 700 N/m. A block of mass m = 1.10 kg is attached to the spring and rests on a frictionless,…

A:

Q: When you stand on a trampoline, the surface depresses below equilibrium, and the surface pushes up…

A:

Q: You have a 120-g yo-yo that you are swinging at 0.9 m/s. How much energy does it have? How high can…

A: m = 0.12 kg  v =0.9 m/s

Q: A massless spring of spring constant k = 5205 N/m is connected to a mass m = 266 kg at rest on a…

A: The spring having a spring constant of 5205 N/m is attached to a 266 kg mass at rest, on a…

Q: Consider a Hot Wheels™ car with a mass of 121 g, that is pushed by a student along a track so that…

A: Given:   Mass of the car, m = 121 g×1 kg1000 g=0.121 g Speed of the car, v = 5 m/s Spring constant,…

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

A: given data as per question mass of box m = 9.8kg initial velocity v = 3.70m/s

Q: Two blocks (m and M) are attached to each other, while m is also fixed to a relaxed spring, as…

A:

Q: 1. A red cart, m, = 12 kg sliding to the right with velocity 1.70 m/s has an elastic collision with…

A:

Q: A block, whose mass is 0.560 kg, is attached to a spring with a force constant of 132 N/m. The block…

A: a)The magnitude of the force is,

Q: A 1.30-kg object slides to the right on a surface having a coefficient of kinetic friction 0.250…

A:

Q: A 1.50-kg object slides to the right on a surface having a coefficient of kinetic friction 0.250…

A: Mass m=1.50 kg Spring force constant k=50 N/m coefficient of kinetic friction=0.250 Initial speed vi…

Q: A physical therapist is directing a rehabilitation session with a patient recovering from knee…

A: Given data:  The force constant (k) = 1500 N/m Stretch in the band (x) = 6.5 cm = 0.065 m Required:…

Q: A 1.1 N ball is shot horizontally out of a spring gun from a height of 0.9 and lands 2 m…

A: Weight of the ball, W = 1.1 Nheight of the gun above ground, H = 0.9 mthe ball is shot…

Q: A 1.50-kg object slides to the right on a surface having a coefficient of kinetic friction 0.250…

A: Write the expression for the total mechanical energy and substitute the corresponding values to…

Q: A spring 0.2 m long extends 0.001 m when a mass of 6 kg is hung from it.  How far will a similar…

A: Given Original length = 0.2 m Extension = 0.001 m Mass hanged = 6 kg

Q: A 500-g block is released from rest and slides down a frictionless track that begins 1.00 m above…

A: Mass of the block is m = 500 g Height of the block is h = 1 m Spring constant is k = 35 N/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.