# 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:

$\overline{){{\mathbf{F}}}_{{\mathbf{c}}}{\mathbf{=}}{\mathbf{m}}{{\mathbf{a}}}_{{\mathbf{c}}}{\mathbf{=}}\frac{{\mathbf{mv}}^{\mathbf{2}}}{\mathbf{r}}}$

Momentum:

$\overline{){\mathbf{p}}{\mathbf{=}}{\mathbf{m}}{\mathbf{v}}}$

The weight is directed vertically downward.

Tension is directed upward.

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

96% (155 ratings) ###### 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?