A 10 kg ball is traveling at the same speed as a 1 kg ball. Compared to the 10 kg ball, the 1 kg ball has

1/100 the momentum
1/10 the momentum
the same momentum
ten times the momentum

Respuesta :

The answer is the second option, or 1/10 the same momentum.

A 10 kg ball is travelling at the same speed as a 1 kg ball. It has  1/10 the momentum when compared to the 10 kg ball

Answer: Option 2

Explanation:

If two objects travel with same speed, then the momentum can be calculated by the following,

Consider mass of 1 kg ball is [tex]m_{1}[/tex]

               for 10 kg ball as [tex]m_{2}[/tex]

Velocity is same for both so it is v

Momentum, [tex]p=mass \times velocity[/tex]

Then, [tex]p_{1}=1 \times v=v[/tex]

          [tex]p_{2}=10 \times v=10 v[/tex]

When substituting for v as [tex]p_{1}[/tex], we get [tex]p_{2}=10 p_{1}[/tex]

                                 [tex]p_{1}=\frac{1}{10} p_{2}[/tex]

From this, we know momentum of 1 kg ball is 1/10 times that of 10 kg ball.