The impulse imparted to an object by a net force is equal to the time rate of change of th… — JAMB UTME

The impulse imparted to an object by a net force is equal to the time rate of change of the object's linear momentum.

Answer: Answer

False. Impulse is equal to the total change in linear momentum (

J = \Delta p

), while the time rate of change of linear momentum (

\frac{\Delta p}{\Delta t}

) represents the net force.

The statement is false. By definition, impulse is the product of net force and the time interval during which it acts (

J = F \Delta t

), which equals the total change in linear momentum (

\Delta p

). In contrast, the time rate of change of momentum (

\frac{\Delta p}{\Delta t}

) is equal to the net applied force.

Define impulse according to the Impulse-Momentum Theorem

Impulse (

J

) is defined as

J = F \Delta t = \Delta p

, which represents the total change in momentum.

Establishing the mathematical definition of impulse.

Identify the physical quantity equal to the time rate of change of momentum

Newton's Second Law states that force

F = \frac{\Delta p}{\Delta t}

, which is the time rate of change of linear momentum.

Distinguishing between force and impulse.

Evaluate the statement

Because impulse equals total change in momentum (

\Delta p

) rather than rate of change (

\frac{\Delta p}{\Delta t}

), the statement is false.

Concluding the true/false verification.

Impulse-Momentum Theorem vs Newton's Second Law

Question