A 25kg block on the end of a spring is lifted upward to a point 2 m away from it’s equilibrum position and released from rest. As the block heads downward back towards its equilibrium position it first arrives at a point 0.6 m above the equilibrium position after a time 0.3 seconds had elapsed. What is the spring constant of the spring?

Q: A 17.2-kg mass is attached to a horizontal frictionless spring. The system has a spring with a…

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Q: The 12.1-in.spring is compressed to a 7.2-in. length, where it is released from rest and accelerates…

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Q: One type of BB gun uses a spring-driven plunger to blow the BB from its barrel. (a)Calculate the…

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Q: An m=20.0g object is held against the free end of a spring of constant k=25.0N/m that is compressed…

A: The time period of the object fall from the 1 m off the table Substitute all values in the above…

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: One type of BB gun uses a spring-driven plunger to blow the BB from its barrel. (a) Calculate the…

A: Approach to solving the question:Please see attached photos for detailed solutions. Thank you.…

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

A: Solution: Given that mass m = 1000 kg k = 4.6x106 N/m x = 2.76 cm = 0.026 m

Q: When 1/5 Kg (200g) mass is applied vertically to an elastic spring, the spring is stretched 10 cm…

A: mass = 200 g x = 10 cm therefore, amplitude = 10 cm  = 0.1 musing , hooke's law F = k x mg = kx 0.2…

Q: As shown in the figure below, a box of mass m = 8.00 kg is sliding across a horizontal frictionless…

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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: A 2.8 kg block is set on a horizontal table. One end of a spring is attached to the block, and the…

A: When block is released ,it will execute S.H.M.  with Max elongation,A = 30 cm = 0.30 m . Mass of the…

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 0.42-kg block is attached to the end of a horizontal ideal spring and rests on a frictionless…

A: When the block is pulled, the force experienced due to stretching of the spring is Fs=-kx The force…

Q: To test the resiliency of its bumper during low-speed collisions, a 4 310-kg automobile is driven…

A: Given            mass(m) = 4310kg        spring force constant(k) = 4.00 × 106N/m…

Q: The 14.6-in. spring is compressed to a 7.4-in. length, where it is released from rest and…

A: This is the case of simple harmonic motion. We first find the angular frequency as the acceleration…

Q: A block attached to a horizontal spring with a spring constant k = 200 N/m is displaced to x = +6 cm…

A: Given,  Spring constant, k = 200 N/m  Displacement = +6cm  Time needed to reach + 6cm is 0.4 s so…

Q: A 0.75-kg metal sphere oscillates at the end of a vertical spring. As the spring stretches from 0.12…

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Q: An ideal spring hangs from the ceiling. A 2.05 kg mass is hung from the spring, stretching the…

A: Spring force is given by, F = -kx The elastic potential energy is given by, Ep = 12kx2 The…

Q: An object oscillates on a spring. When it's displacement from equilibrium is 3.00 cm, the object has…

A: Write the expression for conservation of energy .

Q: A 1.00 kg object is attached to a horizontal spring. The spring is initially stretched by 0.200 m,…

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Q: 14.1-in. spring is compressed to a 8.3-in. length, where it is released from rest and accelerates…

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Q: A block of mass (m=2.00kg) is attached to a spring of force constant k=4.05x10^2 N/m that lies on a…

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Q: A 0.60-kg mass is oscillating on a spring over a horizontal frictionless surface. When it is at a…

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Q: This, the length of the pendulum is 1.66 m. Now you start with the pendulum at 17.1 degrees with…

A: Solution:-Given thatLength of pendulum (L)=1.66 m

Q: To test the resiliency of its bumper during low-speed collisions, a 4 650-kg automobile is driven…

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Q: A 1kg-block oscillates on a spring with spring constant 20 N/m on a frictionless surface. At t = 0 s…

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Q: The 13.4-in. spring is compressed to a 9.3-in. length, where it is released from rest and…

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Q: Ax m k

A: When the spring is stretched by an amount x then the restoring force acting on it is F=kx. From the…

Q: A spring has a characteristic of k=7.50N/m. If the spring’s displacement is 0.550m from its…

A: The given values are,

Q: A block of mass m = 5 Kg is attached to a spring of spring constant k. The block ocillates in simple…

A: i) The transverse wave function is a function of both x (the undisplaced position of the point) and…

Q: The 12.1-in. spring is compressed to a 7.2-in. length, where it is released from rest and…

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Q: A 0.42-kg block is attached to the end of a horizontal ideal spring and rests on a frictionless…

A: Analyze the diagram. The restoring force of the spring is given as, Here, k and x represent the…

Q: When a horizontal spring is extended 5.60cm from equilibrium it exerts a restoring force of 2.50N .…

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Q: A 0.48 kg block is attached to a spring with a spring constant 0.69 N/m. Both the spring and the…

A: mass = 0.48 Kg Spring constant = 0.69 N/m Extension in length of spring = 0.42 m Amplitude (A) =…

Q: rifle fires a 1.01 x 10-2-kg pellet straight upward, because the pellet rests on a compressed spring…

A: Energy stored in spring = (1/2)kx2

Q: The 14.0-in. spring is compressed to a 9.1-in. length, where it is released from rest and…

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Q: An M = 1.35 kg block is placed on top of a vertical spring, whose force constant is k = 12,400 N/m.…

A: Given  Mass of the block = 1.35 kg Force constant (k) = 12400 N/m compression in spring d = 0.0230 m…

Q: A 5.00 kg partridge is suspended from a pear tree by an ideal spring of negligible mass. When the…

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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.