mmmmm The box is released from rest when the spring is unstretched. Assume that the pulley is frictionless and massless. a. What is the speed of the box when it has moved 10.0 cm down the incline? b. How far down the incline from its point of release does the box slide before momentarily stopping? c. What is the magnitude and direction (i.e. up or down the incline) of the box's acceleration at the instant the box momentarily stops?

Q: A 1.80 kg mass on a spring has displacement as a function of time given by the equation x(t) = (6.50…

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Q: A spring is hung from a ceiling and an object attached to its lower end stretches the spring by a…

A: Given data The distance of the stretched spring is d=25 cm The spring constant is k=30.0 N/m As the…

Q: s.

A: Kinetic energy of bullet must equal the potential energy of the spring when compressed. Therefore,…

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

A: Given: mass of automobile, m = 1000 kg  Spring constant, K = 5.85 × 106 N/m Compression of spring, x…

Q: A spring has a length of 0.250 m when a 0.29-kg mass hangs from it, and a length of 0.920 m when a…

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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…

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

Q: Suppose you attach the object with mass m to a vertical spring originally at rest, and let it bounce…

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Q: Sketch a pictureand show the calculation (including the starting formula) for the total energy in a…

A: In triangle ABC , AC = L = length of the string = hypotenuseAB = adjacent AD = length of string = L…

Q: A block of mass m = 2.00 kg is attached to a spring of force constant k = 595 N/m as shown in the…

A: Given: In this question, the given details are, A block of mass m = 2.00 kg is attached to a spring…

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

A: Given: The mass of the automobile is = 1000 kg The spring constant of the bumper is = 4.05×106 N/m…

Q: A block of mass M=2.0 kg, hangs from a rubber cord. The block is supported so that the cord is not…

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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: An ideal spring hangs from the ceiling. A 1.45 kg mass is hung from the spring, stretching the…

A: The hanging mass is The displacement in the string due to the hanging mass is The lifting distance…

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

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Q: A block with mass m = 6.0 kg is attached to two springs with spring constants kleft = 29.0 N/m and…

A: mass m=6kgspring constant k is kleft=29N/mkright=57N/mdisplaced distance x=0.28m

Q: Crt #1 0.75" setting Max speed after spring is released y mass 2.9 cm 0g 1.005 m/s 2.5 cm 500g 1.003…

A: Given:  Mass: let's take 2.5cm = 0.025m                            mass = 500g=0.5Kg…

Q: A 0.300 kg mass is attached to a 26.6 N/m spring. It is pulled 0.120 m and released. What is the…

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Q: m having trouble with this practice problem. I was given the answer key:  a.)  3.24 m/s b.) 2.65 m…

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Q: A spring is such that a 4-lb weight stretches it 6 in. An impressed force ; Ecos8t is acting on the…

A: There is no damping in this case. The spring, however, is being acted upon by an impressed force cos…

Q: 65 kg person jumps from a window to a fire net 18 m below, which stretches the net 1.1 m. Assuming…

A: according to conservation of energy total energy remains constant total decrease in height of person…

Q: Question 14) A pendulum is held next to a ceiling and then released, as shown below. 80° The…

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Q: A spring with a constant of 730 N/m is compressed by a block of mass m = 1.2 kg. When the block is…

A: m = 1.2 kg k = 730 N/m L = 0.05 m coefficient of kinetic friction = 0.44 v = 2.3 m/s Using equation…

Q: A 62-kg person jumps from a window to a fire net 20.0 m directly below, which stretches the net 1.4…

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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…

A: Given:  mass, m = 0.05 kg  distance, y = 0.150 m  speed, v = 20 m/s

Q: Q-1) A body with a 25 kg of mass has started it's movement, in the inclined surface, with a Vo=…

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Q: The spring in the figure below is stretched from its equilibrium position at x - 0 to a positive…

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Q: A student suspends a 0.3 kg mass from an ideal spring and measures the equilibrium displacement of…

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Q: A pendulum with a length of 1 metre is released from an initial angle of 15 degrees. After 1 second,…

A: Given Length of pendulum (L) = 1 metre Initial amplitude θA    = 15 degree Fall in amplitude θx    =…

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

A:

Q: A spring has a length of 0.200 m when a 0.300-kg mass hangs from it, and a length of 0.750 m when a…

A: We know that,Restoring force, Fr=-kxThe gravitational force, Fg=mgWe can…

Q: A 0.60-kg block attached to a spring with force constant 130 N/m is free to move on a frictionless,…

A: Given:- The spring constant k = 130 N/m  mass of the block m = 0.60 kg  The blocks is released from…

Q: A spring in a toy gun has a spring constant of 8.90 N/m and can be compressed 20.5 cm beyond the…

A: Write the kinematic equation for the vertical displacement.

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

A: Compression x = 0.140 m Mass m = 0.0560 kg Speed v = 18 m/s

Q: 3. Addition of vectors. Vector r1 has a magnitude of 8.4 km and points due East. Vector r2 has a…

A: 3) Given, Vector r1→=8.4 km towards east. Vector r2→=12.6 km towards north.   Find addition of given…

Q: Problem 6: The force required to compress a non-standard spring as a function of displacement is…

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Q: A 1 kg mass on a spring object is pulled 0.25 m from its equilibrium position and released. What is…

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Q: A 3 pound weight stretches a spring 32 inches. Suppose the weight pulls 2 inches below the…

A: Given:weight of object, w = 3 lbLength of spring, l = 32 in = 83ftExternal force applied, F(t) = 4…

Q: A 0.50 kg weight suspended from a spring is pulled to 0.50 m below its equilibrium point. If the…

A: Weight suspended from spring m = 0.50 kg Spring distance pulled d = 0.50 m Spring constant k = 50.0…

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.