(a) Find all expression for the kinetic energy of the block just before it strik
ID: 1262976 • Letter: #
Question
(a) Find all expression for the kinetic energy of the block just before it strikes the spring. (b) After the block strikes the spring, the effects of air resistance will he negligible, so you Call ignore them. What is the maximum distance that the spring is compressed as it brings the block to rest? Take the values of the constants to be D = 1, A = 5/6 m^2. Rho = 1.20 kg m^-3, so that DpA = 1 kg m^-1, and m = 2 kg and k = 15 N m^-1. For this question please use g = 10 ms^-2. (c) After the block bounces off the spring it will regain the kinetic energy it had just before striking the spring. Explain how you could determine the height that the block will reach, if air resistance is not neglected. Set up an equation that could he solved to obtain the velocity of the block as it goes up, but do not solve it. 4. A block of mass m is dropped through air from a height h onto a vertical spring. The block experiences a drag force of magnitude R = 1/2 D Rho Av^2. The height h is sufficiently large that the block reaches its terminal velocity before striking the spring.
Explanation / Answer
part A
Kinetic energy of the Block just before it strikes is KE = 0.5 mv^2
where v^2 = 2gh
so KE = 0.5 mv^2 = mgh
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