Question

how much force is required to change the momentum of a body by 30 kg ms-⁴ in 12 second
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Answer 1

Given:-

• Change in Momentum , ∆P = 30kgm/s

• Time ,t = 12 s

To Find:-

• Force required to change momentum ,F

Solution:-

As we know that force is defined as the product of mass and velocity .

→ F = ma ---------(i)

And We know that 1st equation of motion

→ v = u +at

→ a = v-u/t ------(ii)

Substitute the value of a in Equation (i) we get

→ F = m (v-u)/t

• F = mv-mu/t

here we can also write ∆P instead of mv-mu.

Now Substitute the value we get

→ F = 30/12

→ F = 2.5 N

Therefore, the force required to change the momentum of the body is 2.5 Newton .

Answer 2

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• $\small \underline {\sf{ F = mv - mu / t}}$

• $\small \underline {\sf{mv - mu - ΔP }}$

Now substitute,

• $\small \underline {\sf{F = 30/ 12 }}$

• $\small \underline {\sf{F = 2.5 N }}$

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