A 200 kg wood ball hangs from a 170 m long wire The maximum

A 20.0 kg wood ball hangs from a 1.70 m -long wire. The maximum tension the wire can withstand without breaking is 300 N. A 0.900 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? Express your answer with the appropriate units.

Solution

T -mg = mv^2/r

300 - 20.9*9.8 = 20.9vf^2/1.7

7.7419 = vf^2

here momentum remain conserve

mp*vp = (mp+mb)*vf

vp = (mp+mb)*vf/mp

64.61 m/s