Question

An impulse is supplied to a moving object with the force at an angle of 120º with the velocity vector. What is the angle between the impulse and change in momentum ?
(1) 0º (2) 30º (3) 60º (4) 120º

Answer 1

Answer on Question #41240, Physics, Mechanics | Kinematics | Dynamics

An impulse is supplied to a moving object with the force at an angle of $120{}^{\circ}$ with the velocity vector. What is the angle between the impulse and change in momentum?

(1) $0{}^{\circ}$ (2) $30{}^{\circ}$ (3) $60{}^{\circ}$ (4) $120{}^{\circ}$

Solution:

The product of average force and the time it is exerted is called the impulse of force. From Newton's second law

$$F = m a = m \frac {\Delta v}{\Delta t}$$

The impulse of force can be extracted and found to be equal to the change in momentum of an object provided the mass is constant:

$$I m p u l s e = F \Delta t = m \Delta v$$

The change in momentum is in the same direction as the applied impulse.

Thus, angle between them is $0{}^{\circ}$.

Answer. (1) $0{}^{\circ}$

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