A box slides from rest down a frictionless ramp inclined at 31.0° with respect to the horizontal and is stopped at the bottom of the ramp by a spring with a spring constant of k = 1.00 x 104 N/m. point of release If the box has a mass of 12.0 kg and slides 3.00 m from the point of release to the point where it comes to rest against the spring, determine the compression (in m) of the spring when the box comes to rest. m Additional Materials Reading compression of spring

A box slides from rest down a frictionless ramp inclined at 31.0° with respect to the horizontal and is stopped at the bottom of the ramp by a spring with a spring constant of k = 1.00 x 104 N/m. point of release If the box has a mass of 12.0 kg and slides 3.00 m from the point of release to the point where it comes to rest against the spring, determine the compression (in m) of the spring when the box comes to rest. m Additional Materials Reading compression of spring

College Physics

11th Edition

ISBN:9781305952300

Author:Raymond A. Serway, Chris Vuille

Publisher:Raymond A. Serway, Chris Vuille

Chapter1: Units, Trigonometry. And Vectors

Section: Chapter Questions

Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...

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A 0.505-kg block slides on a frictionless horizontal surface with a speed of 1.18 m>s. The block encounters an unstretched spring and compresses it 23.2 cm before coming to rest. (a)What is the force constant of this spring? (b) For what length of timeis the block in contact with the spring before it comes to rest? (c) Ifthe force constant of the spring is increased, does the time required tostop the block increase, decrease, or stay the same? Explain.
A box slides from rest down a frictionless ramp inclined at 31.0° with respect to the horizontal and is stopped at the bottom of the ramp by a spring with a spring constant of k = 3.00 104 N/m. If the box has a mass of 12.0 kg and slides 3.00 m from the point of release to the point where it comes to rest against the spring, determine the compression (in m) of the spring when the box comes to rest.
a 2 kg weight is fasten to a spring on an inclined plane. It has a spring constant of 20 N/m. When the spring is relaxed, the mass sits at the bottom of the incline. It is compressed 0.25 m from its relaxed position, and the weight is released. It goes down the incline, to the horizontal surface and up a second, identical incline. If there were kinetic friction between the weight and the right incline, but none between the weight and the left incline, what would be the coefficient of kinetic friction μk so the maximum height reachable is the same as the starting position (i.e. d=0.25m).
A block with mass m = 19.1 kg is pressed against a spring with spring constant 2.720E+3 N/m, compressing the spring a distance of 0.130 m. It is then released from rest, moves across a frictionless horizontal surface, down a frictionless hill (vertical height h = 8.24 m), and onto a horizontal surface with friction μk = 0.287. How far (in m) will the block slide across the horizontal frictional surface before coming to rest?
A factory worker drops a 10 kg steel block from rest (m=10). The block then falls 30 cm onto a vertical spring standing on the floor. The spring constant of the spring is 400 N/m (k=400). The block makes contact with the spring, it then continues to move downward, compressing the spring until it comes to rest. (The spring then decompresses, firing the block upward.) Determine the distance that the spring was compressed by the block.
A block of mass 15.0 kg slides from rest down a frictionless 40.0° incline and is stopped by a strong spring with k = 2.90 ✕ 104 N/m.The block slides 3.00 m from the point of release to the point where it comes to rest against the spring. When the block comes to rest, how far has the spring been compressed?
A package of mass m = 6.00 kg is released on a 53.1° incline, a distance D = 4.00 m from a long spring with force constant 1.10 x 10² N/m that is attached at the bottom of the incline (Figure 1). The coefficients of friction between the package and incline are s = 0.400 and k = 0.200. The mass of the spring is negligible. (a) What is the maximum Figure m D www.k 0 = 53.1° 1 of 1 ▼ Part L Correct Find the total work done by the force of friction over the entire trip. Express your answer with the appropriate units. ► View Available Hint(s) W₁ = -75.1 J Submit Previous Answers Answer Requested As you can see, this is in accordance with your result from Part J. For the steps and strategies involved in solving this problem, you may view the Video Tutor Solution.
You give a crate of mass m = 1.00 kg an initial speed of vi = 4.00 m/s up an incline of θ = 17°. The crate then slides along the incline, reaches a spring of spring constant k = 92 N/m , and compresses the spring by Δs = 15.0 cm before stopping. a) what is the distance d, in meters, along the incline that the crate slides, assuming there is no friction? b)What distance ds, in meters, along the incline had the crate moved when it just touched the spring? c)If there were friction between the crate and incline, what coefficient of kinetic friction would stop the crate after it travels ds (just before it compresses the spring)?
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You are asked to design spring bumpers for the walls of a parking garage. A freely rolling 1100 kg car moving at 0.60 m/s is to compress the spring no more than 7.3×10−2 m before stopping. What should be the force constant of the spring? Assume that the spring has negligible mass
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