A mass on a spring with constant 3.14 N/m vibrates with position given by the equation x = (5.00 cm) cos(2.80t rad/s). (a) During the first cycle, for 0 < t < 2.24 s, just when is the system's potential energy of the system changing most rapidly into kinetic energy? First time _____s Second time _____s (b) What is the maximum rate of energy transformation? _____ mW

Q: An object is attached to a horizontal spring and somewhere along its motion has a kinetic and…

A: Total mechanical energy of the system is sum of kinetic energy and potential energy. T.E = K.E…

Q: A mass is attached to the end of a spring and set into oscillation on a horizontal frictionless…

A: mass = 0.1 kg x = 0.15 m K = 90 N/m initial potential energy = 101.25 J angular frequency = 30…

Q: h one end of a spring with a force constant k = 753 N/m to a wall and the other end to a mass  m =…

A: Givenk=753 N/mm=1.42 kgxi=6.56 cm=0.0656 m

Q: An automobile having a mass of 1 000 kg is driven into a brick wall in a safety test. The bumper…

A: To determine the kinetic energy of the car is,'

Q: This, the length of the pendulum is 2.46 m. Now you start with the pendulum at 18.2 degrees with…

A: Let initial speed is u ( at point A )

Q: A spring is stretched 38 cm beyond its equilibrium length. How much energy has been transferred to…

A: Given that,  Expansion in the spring length, ∆x=38 cm=38×10-2 m Spring constant, k=67.8…

Q: The displacement of a block attached to a horizontal spring whose spring constant is 14N/m is given…

A: The displacement is given as  x=0.7 m×cos2.8st-0.8 The general equation for displacement is  x=A…

Q: One end of a spring is attached to a fixed wall while a 0.25-kg block is attached to the other…

A:

Q: An ideal spring hangs from the ceiling. A 1.55 kg mass is hung from the spring, stretching the…

A: Solution:At equlllibrium position, we have:mg = kdwhere, m is mass             g is acceleration due…

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…

A:

Q: A 0.50-kg mass is oscillating on a spring over a horizontal frictionless surface. When it is at a…

A: Given: Mass attached with spring (m) = 0.5 kg. Displacement from equilibrium (d) = 3.6 cm. Kinetic…

Q: A horizontal spring is attached to a wall at one end and a mass of 5.3 kg on the other end. The…

A:

Q: A 30.5 kg mass is hung on a spring (k = 7.32 N/m). The system is displaced 75.0 cm from equilibrium…

A: Given data:  Spring constant (k) = 7.32 N/m Amplitude (A) = 75.0 cm = 0.750 m Required: The total…

Q: A spring with a 23.3N/m hangs 3.9cm above a tabletop when a 0.6kg mass is hung from it. If the mass…

A:

Q: Calculate the maximum speed with which the mass-spring system oscillates, having a total energy of…

A:

Q: A spring with a spring constant of 50N/m has a 3.0 kg mass attached to it. If it is stretched 30cm…

A: Given data:  Spring constant (k) = 50 N/m Mass (m) = 3.0 kg Amplitude (A) = 30 cm = 0.30 m Required:…

Q: the position of a mass hanging from a spring as it oscillates has the form x(t)=0.2cos(6.7t). (All…

A: The position of a mass hanging from a spring is given below.

Q: gy peno

A: Maximum kinetic energy of simple pendulum is KEmax = 1/2 m A2 w2 Angular frequency  w= 2π /T m =…

Q: An object attached to a horizontal spring and somewhere along its motion has a kinetic and potential…

A:

Q: An object is attached to a horizontal spring and somewhere along its motion has a kinetic and…

A: Given that the value of potential energy and kinetic energy and also given the maximum displacement…

Q: A block of mass m - 2.00 kg is attached to a spring of force constant &- 510 N/m as shown in the…

A: The mass is attached to the spring and the block is pulled to a position.The question aims to…

Q: AD.317-kg mass is attached to a spring with a force constant of 10.1 N/m If the mass is displaced…

A: Given  mass(m)=0.317 kg force constant (k)=10.1 N/m displacement(A)=0.246 m Required speed of mass…

Q: A 7.4-kg crate is attached to a horizontal spring with spring constant 900 N/m. You pull the crate…

A: Given: In this question, the given details are, A 7.4 kg crate is attached to a horizontal spring…

Q: An automobile having a mass of 1000 kg is driven into a brick wall in a safety test. The bumper…

A: Given data  The mass of the automobile is m = 1000 kg. The spring constant is k = 4.35×106 N/m. The…

Q: One end of a spring is attached to a fixed wall while a 0.24-kg block is attached to the other…

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 marble with a mass of 0.085 kg compresses a spring 5.1 cm. If the spring has a constant k = 150…

A:

Q: An ideal spring hangs from the ceiling. A 1.75 kg mass is hung from the spring, stretching the…

A:

Q: There is a spring attatched to a 2.5 kilogram mass on a horizontal frictionless surface. The spring…

A:

Q: A spring is stretched 35.2 cm beyond its equilibrium length. How much energy has been transferred to…

A: Given data:  Stretch in spring (x) = 35.2 cm = 0.352 m Spring constant (k) = 32.6 N/cm Required: The…

Q: An archer pulls her bowstring back 0.370 m by exerting a force that increases uniformly from zero to…

A:

Q: A spring is stretched by 11.5cm. If the spring constant of the spring is 72.8N/m. How much elastic…

A: The spring stretch,

Q: A 0.293-kg block resting on a frictionless, horizontal surface is attached to a spring having force…

A: Since we only answer up to 3 subparts so we will answer the first 3. Please resubmit the another…

Q: An archer pulls her bowstring back 0.410 m by exerting a force that increases uniformly from zero to…

A: (a) Write the expression for the spring force, and solve for the spring constant (k) of the bow.

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.