A 1.40 kg block is attached to a spring with spring constant 16.5 N/m . While...

A 1.40 kg block is attached to a spring with spring constant 16.5 N/m . While the block is sitting at rest, a student hits it with a hammer and almost instantaneously gives it a speed of 43.0 cm/s . What are The block's speed at the point where x= 0.350 A?

Solutions

Expert Solution

Given mass of the block m=1.40kg

Spring constant of the spring k=16.5N/m

The kinetic energy of block when moving at speed v is

Potential energy of the spring when displaced by amount x is

Mechanical energy of the spring mass system is

Initially, x=0 and v=43cm/s=0.43m/s, initial mechanical energy is

At the maximum displacement x=A, the speed of the block is zero,

We want to find the speed when

Substituting values

genius_generous answered 1 year ago

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