Chapter 5, Problem 6RAT

The impulse-momentum relationship is a direct result of Newton's

(a) first law.

(b) second law.

(c) third law.

(d) law of gravity.

To determine

The correct option for the statement “The impulse-momentum relationship is a direct result of Newton’s”.

Answer to Problem 6RAT

The correct option for the statement “The impulse-momentum relationship is a direct result of Newton’s” is option (b).

Explanation of Solution

Newton’s first law describes the inertia of the object, so it does not give the relationship between the impulse and momentum.

The impulse of an object is the effect of the force on the object for a very small duration. The change in the momentum of the object is equal to the mass times change in the velocity of the object. The impulse of the object is equal to the change in the momentum of the object from the impulse-momentum equation.

The force on an object is the effect of the inertia due to variation in the velocity of the object. The expression of the force by rearranging change in velocity and time from the impulse-momentum equation is same as the expression of the force obtained by Newton’s second law, so the impulse-momentum relationship is the direct result of Newton’s second law.

Newton’s third describes the action and reaction between the two objects; it does not give the relationship between the impulse and momentum. The law of gravity only describes the gravitational force on the object.

Conclusion:

The correct option for the statement “The impulse-momentum relationship is a direct result of Newton’s” is option (b).