When a spring with stiffness constant   k is compressed or stretched by a distance x the elastic potential energy stored by the spring is  A. -kx  B. 0.5kx^2  C. 0.5mv^2 - U (x)  D. [None of the others.]  E. kx  F. mgx

Q: The figure shows that if we hang a block on the end of a spring with spring constant k, the spring…

A: Given data: Distance h=3.9 cm

Q: A M =7 kg mass is moving at vo = 8 m/s along a frictionless, horizontal = 800 N/m that is attached…

A:

Q: 2. A block oscillates without friction on the end of a spring as shown. The minimum and maximum…

A: The block exhibits simple harmonic motion. For SHM, the total mechanical energy of the system with…

Q: 8. When a 0.28-kg block is suspended on a vertical spring, it causes it to stretch 2.90 cm. If the…

A: The expression for find spring constant is ma=kxk=max Substitute values in the above equation…

Q: An object with a mass of 0.5 kg is released at a distance of 2 m, the spring coefficient k = 100 N /…

A: The mass of object = 0.5 kg height of object = 2 m spring coefficient = 100 N/m initial speed = 0…

Q: A spring is compressed by a 0.2 kg marble and held stationary. When released, the spring extends 4…

A:

Q: Springy A 4.0 [kg] block is approaching a spring with spring constant of 200 [N/m]. The block is…

A: Given data: Mass of block (m) = 4 kg Spring constant (k) = 200 N/m Velocity of block (V) = 3 m/s…

Q: 2. A 4.0 kg block is moving at v₁ = 8 m/s along a frictionless, horizontal surface towards a spring…

A:

Q: A 320 g object is sitting on a vertical spring that is compressed 4.1 cm from its equilibrium…

A: As the object is sitting on the vertical spring is compressed  x = 4.1 cm = 4.1 *10-2 m initial. So…

Q: A 25 kg child bounces on a pogo stick. The pogo stick has a spring with spring constant 2.0 x 104…

A:

Q: An 4.00 kg object is attached to a horizontal spring as shown. The spring has an equilibrium length…

A:

Q: Q16) A rubber band has a circumference of 0.4 m when it is unscratched. The rubber has a rectangular…

A: Given:- The rubber band has a circumference of L= 0.4 m  The rubber has rectangular cross section =…

Q: 1. A spring is compressed 15 cm by a block of 200 g as shown in Fig. 1. When the block is released,…

A: Given, Spring is compressed upto the length of, x = 15 cm = 0.15 m mass of the block, m = 200 g =…

Q: A 1.40-kg block is pushed against a vertical wall by means of a spring (k = 810 N/m). The…

A: Given,

Q: 10. A 1.35-kg block is pushed against a vertical wall by means of a spring (k = 760 N/m). The…

A:

Q: A spring has a relaxed length of 30 cm. From this length you slowly pull on it so its length…

A: F is the force applied by you. Therefore, the…

Q: 13 Suppose now that the cork temporarily sticks to the spring, causing the spring to extend 4.5 cm…

A: The extra velocity is 4.169 m/s

Q: 10. A certain spring has 15.0 J of elastic potential energy stored when compressed 0.26 m. The…

A:

Q: An energy-absorbing car bumper has a spring stiffness constant of 540 kN/m. Find the maximum…

A:

Q: An energy-absorbing car bumper has a spring constant of 410 k/N/mFind the maximum compression of the…

A:

Q: An archer pulls the bow rope 0.500 m back, exerting an increasing force equal to 230 N from zero.…

A: The spring constant from Hooke's law k=∆F∆x=230 N-0 N0.500 m=460 Nm

Q: A 5.00-kg block is moving at 6.00 m/s along a frictionless, horizontal surface toward a spring with…

A: Given:Mass of the block = 5 kgVelocity of the block = 6 m/sSpring constant = 500 N/m

Q: 12) A spring with a 0.7 kg mass attached is stretched 0.15 m away from equilibrium. If the spring…

A: (a) Write the given values of this problem.   m=0.7 kgx=0.15 mk=68.1 N/m

Q: 13. A block and spring are arranged on a horizontal, frictionless surface. The spring constant is…

A: Spring constant = K = 500 N/m Mass of the block = m = 4.5 kg Compression = x = 0.35 m Say velocity…

Q: When a 1 kg mass is hung on a vertical spring, it extends the spring by 0.50 m. What is the spring…

A: The weight of a hanging mass is, W=mg=1 kg10 m/s2=10 N

Q: 35. 35. A heavy block is suspended from a vertical spring. The elastic potential energy is stored in…

A: Note: According to Bartleby's guideline first question is to be answered. Please, repost your…

Q: A locomotive with a mass of 50.0 t crashes into a stationary obstacle at the end of the railway…

A: Mass = 50  V = 5m/s K = 108 N /m

Q: 2. An elastic spring stores 45 J of potential energy when it is stretched by 2 cm. What is the…

A:

Q: I Review I Constants A small box with mass 0.600 kg is placed against a compressed spring at the…

A: mass of box (m) = 0.6 kg angle of incline (θ) = 37ocoefficient of kinetic friction (μk) =…

Q: 1. A bow is drawn back such that it is storing 90 J of elastic potential energy (EPE). An arrow with…

A: It is given to assume the bow as ideal spring

Q: 0 - The potential energy for spring is defined as: O A) U=mgy

A: Potential Energy of spring is defined as the energy possesed by the spring.

Q: What is the spring constant of a spring that stores 40 J of elastic potential energy when compressed…

A:

Q: 8. A 5.00-kg block is moving at vo = 6.00 m/s along a frictionless, horizontal surface toward a…

A:

Q: To test the resiliency of its bumper during low-speed collisions, a 1 000-kg automobile is driven…

A: Given  Mass of automobile m=1000kg Spring constant of bumper k=5.00x 106 N/m Compression ∆x=0.0316m…

Q: The Dread Pirate Roberts is trying to fire a 12 kg cannon ball from a 250 kg cannon. In order to…

A: mass of cannon ball = 12  kg mass of cannon = 250 kg velocity of cannon ball = 90 km/hr

Q: To test the resiliency of its bumper during low-speed collisions, a 4 490-kg automobile is driven…

A: SOlution: as given that m =4490 kg k=6x106 N/m x=3.36 cm=0.0336 m

Q: I Review | Constants A 2.00-kg package is released on a 53.1° incline, 4.00 m from a long spring…

A: Initial potential energy of the spring, The work done by the friction force,

Q: 4. Force constant of a weightless spring is 16 Nm-'. A body or mass 1 kg suspended from it is pulled…

A:

Q: When a 3 kg mass is hung on a vertical spring, it extends the spring by 2.00 m. What is the spring…

A: mass m = 3 kg spring extends x = 2 m g = 10 m/s2

Q: 3. A 1.5 kg block (moving in the right direction on a horizontal surface) collides with a spring…

A:

Q: A perfectly elastic spring requires 0.75 J of work to stretch 5 cm from its equilibrium position.…

A: Dear student,                     According to the guidelines I am allowed to answer only one…

Q: A 1200 kg safe is 1.9 m above a heavy-duty spring when the rope holding the safe breaks. The safe…

A: According to the conservation of energy, the loss of gravitational potential energy is equal to the…

Q: A 0.10 kg block suspended from a spring is pulled to 8.0 cm below its equilibrium position and…

A: The velocity of the block, when it crosses from the equilibrium position is,The angular frequency of…

Q: 2. A block is pushed up against a spring and released. The spring has a constant k = 10 N/ m and was…

A: Given data :- Spring constant k = 10 N/m Compression in the spring x = 4 m Mass of the block m = 2…

Q: 10. A certain spring has 15.0 J of elastic potential energy stored when compressed 0.38 m. The…

A: Given values: Elastic potential energy of the original spring ,PE=15.0 J Compressed length of…

Q: 3. A block of mass m=1.2 kg is attached to a horizontal spring of force constant k=75 N/m. The block…

A: A. At the position when the spring is compressed that is when it is at extreme left, then the system…

Q: A 5.00 kg block is moving at vi= 6.0 m/s along a frictionless, horizontal surface toward a spring…

A: Given that, mass of the block = 5.0 kg VI =6.0 m/s k = 00 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.