Question

A 5.73 kg bowling ball moves in a straight line at 1.6 m/s.

Answer 1

Answer: 2546.66 m/s

Explanation:

We have the following data:

$m_{1}=5.73 kg$ is the mass of the bowling ball

$V_{1}=1.6m/s$ is the velocity of the bowling ball

$m_{2}=3.6 g \frac{1 kg}{1000 g}=0.0036 kg$ is the mass of the ping-pong ball

$V_{2}$ is the velocity of the ping-pong ball

Now, the momentum $p_{1}$ of the bowling ball is:

$p_{1}=m_{1}V_{1}$ (1)

$p_{1}=(5.73 kg)(1.6m/s)$

$p_{1}=9.168 kg m/s$ (2)

And the momentum $p_{2}$ of the ping-pong ball is:

$p_{2}=m_{2}V_{2}$ (3)

If the momentum of the bowling ball is equal to the momentum of the ping-pong ball:

$p_{1}=p_{2}$ (4)

$m_{1}V_{1}=m_{2}V_{2}$ (5)

Isolating $V_{2}$:

$V_{2}=\frac{m_{1}V_{1}}{m_{2}}$ (6)

$V_{2}=\frac{9.168 kg m/s}{0.0036 kg}$ (7)

Finally:

$V_{2}=2546.66 m/s$