Consider two objects of the same mass. If a force of 100N acts on the first for a duration of 1s and on the other for a duration of 2s, which of the following statements is true?
a
The first object will acquire more momentum.
b
The second object will acquire more momentum.
c
Both objects will acquire the same momentum.
d
Neither object will experience a change in momentum.

So velocity=displacement/time and force=mass*acceleration. Both objects have the same acceleration because the amount of time doesn’t play a role in the equation. Momentum equation is p=mv so only the mass and overall velocity matter. Therefore, the answer is c because time is not a variable

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throwdolbeau throwdolbeau · Answer 2 · 2021-12-28T12:50:42+01:00

c ) Both objects will acquire the same momentum.

Given:

Masses are same

Force=100N

As we know,

[tex]\text{Velocity}=\frac{\text{displacement}}{\tetx{time}}[/tex] and [tex]\text{Force}=\text{mass}*\text{acceleration}[/tex]

⇒Both objects will have the same acceleration because the amount of time doesn’t play a role in the equation.

∵Linear momentum is the product of the mass and velocity of an object.

[tex]\text{P}=\text{m*v}[/tex]

where m= mass and v= velocity

∴Only the mass and overall velocity matters.

Therefore, both objects will acquire the same momentum.

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