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

AThe initial momentum is 6 kg m/s, and the final momentum is 3 kg m/s

BThe initial momentum is 6 kg m/s, and the final momentum is 12 kg m/s

CThe initial momentum is 12 kg m/s, and the final momentum is 24 kg m/s

DThe initial momentum is 12 kg m/s, and the final momentum is 3 kg m/s

Verified Answer :

Here, Initial momentum = mu = 62 = 12 Kg m/s
Final momentum = mv = 64 = 24 Kg m/s

In short, Your Answer would be Option C

Hope this helps!

Answer: The initial momentum is 12 kg m/s, and the final momentum is 24 kg m/s

Explanation:

Momentum is defined as the force that keeps the object moving.  It is also defined as the product of mass and velocity of an object.

Mathematically,

\(p=m\times v\)     .......(1)

where,

p = momentum of the bowling ball

m = mass of the bowling ball

v = velocity of the bowling ball

  • Calculating the initial momentum:

We are given:

\(m=6kg\\u=\text{Initial speed}=2m/s\)

Putting values in equation 1, we get:

\(p=6kg\times 2m/s\\\\p=12kg.m/s\)

  • Calculating the final momentum:

We are given:

\(m=6kg\\u=\text{Final speed}=4m/s\)

Putting values in equation 1, we get:

\(p=6kg\times 4m/s\\\\p=24kg.m/s\)

Hence, the initial momentum is 12 kg m/s, and the final momentum is 24 kg m/s

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