Question

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

Answer 1

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

Answer 2

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

Step-by-step explanation:

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

Consider mass of 1 kg ball is
`m_(1)`

for 10 kg ball as
`m_(2)`

Velocity is same for both so it is v

Momentum,
`p=mass * velocity`

Then,
`p_(1)=1 * v=v`

`p_(2)=10 * v=10 v`

When substituting for v as
`p_(1)`, we get
`p_(2)=10 p_(1)`

`p_(1)=(1)/(10) p_(2)`

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