Problem: A10.0 kg wood ball hangs from a 2.00 m-long wire. The maximum tension the wire can withstand without breaking is 500 N.   A 1.00 kg projectile traveling horizontally hits and embeds itself in the wood ball.  What is the largest speed this projectile can have without causing the cable to break?

FREE Expert Solution

Centripetal force:

Fc=mac=mv2r

Momentum:

p=mv

The weight is directed vertically downward.

Tension is directed upward.

Centripetal acceleration is directed upward (toward the center of the circle).

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Problem Details

A10.0 kg wood ball hangs from a 2.00 m-long wire. The maximum tension the wire can withstand without breaking is 500 N.   A 1.00 kg projectile traveling horizontally hits and embeds itself in the wood ball.  What is the largest speed this projectile can have without causing the cable to break?

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