a bowling ball has a mass of 6 kg. What happens to its momentum when its speed increases from 2 m/s to 4 m/s?

AThe initial momentum is 6 kgm/s, and the final momentum is 3 kgm/s
BThe initial momentum is 12 kgm/s, and the final momentum is 24 kgm/s
CThe initial momentum is 12 kgm/s, and the final momentum is 3 kgm/s
DThe inital momentum is 6 kgm/s, and the final momentum is 12 kgm/s

Verified Answer :

AL2006

Momentum = (mass) x (speed)

Choice-B is the correct one.

Answer:

B) The initial momentum is 12 kgm/s, and the final momentum is 24 kgm/s

Explanation:

The momentum of an object is given by the product between its mass (m) and its velocity (v):

\(p=mv\)

Let's apply this formula to calculate the initial momentum and final momentum of the ball:

- initial momentum:

\(p_i = m v_i = (6 kg)(2 m/s)=12 kg m/s\)

- Final momentum:

\(p_f = m v_f = (6 kg)(4 m/s)=24 kg m/s\)

So, the correct answer is

B) The initial momentum is 12 kgm/s, and the final momentum is 24 kgm/s