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In: Physics

A small block (m = 0.615 kg) vibrates back and forth horizontally on a frictionless surface...

A small block (m = 0.615 kg) vibrates back and forth horizontally on a frictionless surface according to the equation x = 5.04 cm cos 8.37 rad/s t due to a spring.

a) What are the frequency (f) and the period (T) of the motion?

b) What is the spring constant (k) of the spring?

c) What is the location of the block at t = 5.87 s?

d) What is the velocity of the block at t = 4.11 s?

e) What is the acceleration of the block at t = 2.05 s?

f) What is the total mechanical energy (E) of the block/spring system?

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