Question

In: Physics

A ball of mass 500g is shot with an initial velocity of 10 m/s. the ball...

A ball of mass 500g is shot with an initial velocity of 10 m/s. the ball hits a pendulum bob (initially at rest) of mass of 2kg and the collision is perfectly elastic. a) find the velocity of the pendulum bob immediately after the collision. b) find the length of the pendulum if it comes to rest after turning by an angle of 30 degrees.

- Part b is the one I am stuck on!!!

Solutions

Expert Solution

--------------(a)

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First find velocity of pendulum after collision

Given that collision is elastic ,so momentum and kinetic energy is conserved.

Consider conservation of momentum

initial momentum =final momentum

--------------(1)

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consider conservation of kinetic energy

initial kinetic energy =final kinetic energy

Put (1) in above equation

Multiply all terms with 0.5

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After collision kinetic energy of pendulum is converted to potential energy ,when the pendulum swings to 30 deg

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From (a)

ANSWER:

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genius_generous answered 2 months ago
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