Question

how much force acts on a body whose momentum (p) is constant. in time t?

Answer 1

Zero. Force is defined as the change of momentum over time: 

F = d(mv)/dt 

If mv is constant: 

F = mv(d1/dt) 

derivative of a constant is zero 

F = 0

Answer 2

Answer: Zero

Explanation:

• We know momentum of a body is the product of mass and velocity of the body.
• Force is the product of mass and acceleration.
• We can say  P = mv and F = ma.
• When we differentiate momentum at constant mass then we get force.
• But here mv is constant.
• F = $\frac{d(mv)}{dt}$

          = 0      [∵ mv is constant]

• So, we can say if there is no change in momentum the force is also zero.
• Hence, the force is zero.

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