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Problem 6: A mass (M=3kg) is placed in front of a spring with k=1200N/m, compressed d=40cm. The spring is released, shooting the mass forward from A to B (frictionless). The mass then travels along a flat surface from B to C (L=20m), with µk=0.1. At C the surface becomes frictionless and smoothly inclines upwards. The speed of the mass at point D is 0m/s.
a) What is the velocity of the mass at B?
b) What is the velocity of the mass at point C?
c) How high is point D above the flat surface?
d) Does the mass make it back to the spring? No credit for simple yes or no answer, must explain why or why not!© BrainMass Inc. brainmass.com June 4, 2020, 12:51 am ad1c9bdddf
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Solution: As the mass is compressed against the spring, work done in doing so is converted into the potential energy of the compressed spring.
Energy stored in the compressed spring = U = ½ kx^2 where x = compression in the spring = 0.4 m and k = spring constant = 1200 N/m
Substituting values, we get: U = ½ (1200)(0.4)^2 = 96 J
As the mass is released, the PE stored in the spring is ...
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