Question

A constant force acts on a body causing the momentum of the body
to increase. Which expression relates the force to the momentum and the time taken?

Answer 1

The expression that relates the force to the momentum and the time taken is $F =\frac{\Delta P}{t}$.

• Let the constant force causing change in momentum, = F
• Let the time of force action = t

The impulse experienced by the body at the given constant force and time is calculated as follows;

$J = \Delta P = mv$

where;

ΔP is change in momentum

The force acting on a body is given by Newton's second law of motion;

$F = ma\\\\F = \frac{mv}{t} \\\\Ft = mv\\\\Ft = \Delta P\\\\F = \frac{\Delta P}{t}$

Thus, the expression that relates the force to the momentum and the time taken is $F =\frac{\Delta P}{t}$.

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