The cable of an elevator of mass M = 3200 kg snaps when the elevator is a rest at one of the floors of a skyscraper. At this point the elevator is a distance d = 16.6 m above a cushioning spring whose spring constant is k = 9000 N/m. A safety device clamps the elevator against the guide rails so that a constant frictional force of f = 13929 N opposes the motion of the elevator. Find the maximum distance by which the cushioning spring will be compressed.

Q: A 20 kg mass is fastened to a spring of force constant k= 250 N/m by a string passing over a light…

A: Given: The mass of object is m=20 kg. The spring constant is k=250 N/m. The amplitude is A=0.4 m.…

Q: A block of mass m = 4.5 kg is attached to a spring with spring constant k = 830 N/m. It is initially…

A: Given information: The symbols have the same meaning as defined in the question.

Q: A block attached to a horizontal spring with a spring constant k = 100 N/m is displaced to x = +6 cm…

A:

Q: A 5.00x105 kg subway train is brought to a stop from a speed of 0.500 m/s in 0.400 m by a large…

A: Given

Q: A block of mass 0.257 kg is placed on top of a light, vertical spring of force constant 4 950 N/m…

A:

Q: small body of mass m resting on a smooth horizontal plane is attached by threads to a point P (see…

A:

Q: A spring (k = 193.7 n/m) is compressed 1.35 m by a block of mass 5 kg. The system is released from…

A:

Q: A 2.03 kg ball is pushed against a horizontal spring whose force constant is 1108 N/m, compressing…

A: mass of ball = 2.03 kg k = 1108 Nm x = 0.201 m coefficient of kinetic friction = 0.249d = 1.44 m θ =…

Q: A horizontal spring has spring constant k= 360 N/m. b) If a 1.85-kg block is placed against the…

A:

Q: A 2.50 kg textbook is forced against a horizontal spring of negligible mass and having a spring…

A:

Q: 49 g ice cube can slide without friction up and down a 29º slope.  The ice cube is pressed against a…

A:

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 block of mass m = 0.32 kg is set against a spring with a spring constant of k1 = 681 N/m which has…

A: Using the conservation of energy, 12k1d12-μkmgx=12k2d22

Q: A 2.10 kg mass is pushed against a horizontal spring of force constant 28.0 N/cm on a frictionless…

A: The velocity of the mass is maximum when the potential energy stored in the spring is zero.…

Q: A block of mass m= 0.28 kg is resting against the spring with force constant K= 250 N/m and…

A: We have a block of mass m=0.28 kg which is connected to a spring of force constant K=250 N/m…

Q: A 500-g mass oscillates horizontally at the end of a spring with the spring constant of 360 N/m.…

A: Given: Mass m=500 g, Spring constant k=360 N/m, Displacement from the equilibrium x=12 cm=0.12 m.…

Q: A horizontal spring with spring constant 230 N/mN/m is compressed by 10 cmcm and then used to launch…

A: Energy stored in the spring is given by  U = 12k y2 The kinetic energy is given by  K=12mv2 where, K…

Q: 50 N/m |0.5 kg X = -0.3 m X = 0m X = 0.3 m A block of mass 0.5 kg on a horizontal surface is…

A: We will use Hooke's Law for this :-                  F = -k x   Negative sign denotes that the force…

Q: A light spring with spring constant 1100 N/m hangs from an elevated support. From its lower end…

A:

Q: A 1.5 kg block is attached to a horizontal spring, with the other end attached to a wall, and the…

A: Mass of the block, m = 1.5 kg Spring constant, k = 57 N/m Maximum compression, x = 0.40 m

Q: A 2.28 kg ball is pushed against a horizontal spring whose force constant is 1201 N/m, compressing…

A:

Q: To what maximum height above the point of release does it rise?

A: The maximum height attained by the block can be determined by the conservation law of energy as,…

Q: The cable of the 1800 kg elevator cab snaps when the cab is at rest at the first floor, where the…

A: Since there are multiple sub-parts posted, we will answer the first three sub-parts for you. If you…

Q: A 20 kg mass is fastened to a spring of force constant k 250 N/m by a string passing over a light…

A: Given: k = 250 N/m, x = 0.4 m, m = 20 kg

Q: The cable of a 1800 kg elevator snaps when the elevator is at rest on the first floor.  The elevator…

A: Given data:         Mass of the elevator m =1800 kg         Elevator cab distance d=3.7 m…

Q: 2M Two blocks, of masses M = 4.0 kg and 2M, are connected to a spring of spring constant k = 150 N/m…

A:

Q: A box with mass m = 4.1 kg slides down a ramp that has the angle θ = 29.76°. The kinetic coefficient…

A: Write a given values of this question. m=4.1kgθ=29.76°μk=0.290g=9.801m/s2k=193N/md=6.16m

Q: A 3 kg object attached to an ideal massless spring is compressed 1.2 m. If the spring constant is 45…

A:

Q: The spring return constant of a spring is 2000 N/m.  How much will it crash in metres if a 100 kg…

A:

Q: An m = 5.5kg box rests on a horizontal frictionless surface and is attached to a spring with spring…

A: Work done by a forceF applied on a block of mass m is given by W=F.d where d=distance moved by the…

Q: (15pts) A block with mass 0.50kg is forced between a horizontal spring of negligible mass,…

A: Given: Block of mass m = 0.50 kg Distance d= 0.20 m  Spring constant k = 100 N/m We have to…

Q: A block of mass 1kg compresses an ideal spring with spring constant k=10 N/m to a maximum…

A: Given quantities: Mass of the block(m) = 1 kg Spring constant of the ideal spring (k) = 10 N/m…

Q: (ou have a light spring which obeys Hooke's law. This spring stretches 3.28 cm vertically when a…

A:

Q: The cable of the 2000 kg elevator cab in the figure snaps when the cab is at rest at the first…

A: Using force balance equations, energy conversion relations to solve the problem

Q: The spring in a dart gun has a spring constant of 20.0 N/m. The spring is compressed 8.00 x 10-2 m…

A: Given data: Spring constant (k) = 20.0 N/m Compression in spring (x) = 8.00 × 10-2 m Mass of dart…

Q: A 12-kg block on a horizontal frictionless surface is attached to a light spring (force constant…

A: The law of conservation of energy says that energy will be a constant quantity. The work done is…

Q: Spiderman uses his spider webs to save a runaway train moving about 17.0 m/s. His web stretches a…

A: Initial velocity of train, u=17 m/s Distance covered, s=500 m Mass of train, m=150000 kg Let spring…

Q: The block of mass m 1.60 kg slides along the horizontal rough plane as shown in the figure. The…

A: We solve this problem using conservation of energy

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

A: Frequency of oscillations is proportional to spring constant and inversely to mass. A restoring…

Q: Find the spring constant k for a spring if a force of 11.N stretches the spring 0.48.m. 20.01.N/m…

A: Applied force = 11 N  Stretching = 0.48 m  To find : spring constant (k)

Q: The cable of the 1600 kg elevator cab in the figure snaps when the cab is at rest at the first…

A: Given: The mass of the elevator is 1600 kg. The distance from the bottom is 3.1 m. The spring…

Q: A 0.30-kg object is suspended from the ceiling at the end of a string of length 1.6 m. When pulled…

A: We know that, Total mechanical energy of pendulum is as follows; E=K+U…

Q: A 0.35 kg mass is held against a compressed spring with a spring constant of 89 N/m. The mass is…

A: Using the work-energy theorem, Ki+Ui+Wnc=Kf+Uf0+12kx2-μmgx=12mv2+0v=kx2m-2μgx

Q: A 1.20 kg block slides down a frictionless incline with a slope angle of 42.0°, starting from a…

A:

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: Given: M=0.5 kg k=7500 N/m compressed length, x=0.2 m g=10 m/s2

Q: A block of mass m = 1.5 kg is attached to a spring with spring constant k = 510 N/m. It is initially…

A: 1. Draw the schematic arrangement of the system.

Q: An object with mass 0.60 kg is suspended from the ceiling at the end of a 2.0 m long string. When…

A: Given: mass =0.60 kg L=2.0 m v=4.0 m/s Find maximum angle does the string make with the vertical as…

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.