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# Physics: Energy Problems

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Please provide me step by step solution.

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?

=____________ vB

b) What is the velocity of the mass at point C?

=____________ vC

c) How high is point D above the flat surface?

HD =____________

d) Does the mass make it back to the spring? No credit for simple yes or no answer, must explain why or why not!

https://brainmass.com/physics/energy/physics-energy-problems-364120

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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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