Question

In: Physics

A 1.25 kg block is attached to a spring with spring constant 18 N/m . While...

A 1.25 kg block is attached to a spring with spring constant 18 N/m . While the block is sitting at rest, a student hits it with a hammer and almost instantaneously gives it a speed of 42 cm/s What is the amplitude of the subsequent oscillations?

What is the block's speed at the point where x=0.25A?

Expert Solution

Mass of the block is 1.25 Kg

Spring constant = 18 N/m

speed of the mass = 42 cm/s= 0.42 m/s

So Kinetic energy of the system =

This kinetic energy has to be stored in the potential energy of the spring

To Calculate the Amplitude of ascilation we have to equate both KE and PE

So the amplitude of the Oscillations is 0.11 m

Assuming the total Energy of the system is conserved.

So

or

So the block's speed at point where X = 0.25A is 40.6 cm/s

genius_generous answered 2 years ago

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