Question

What is the magnitude of the impulse that would cause the 2-kg box to accelerate from 2 m/s to 5 m/s?

Answer 1

6 J is the impulse caused by the change in velocity of 2 kg box from 2 m/s to 5 m/s.

Answer:

The magnitude of impulse is 6 J.

Explanation:

Impulse is the force acting on any object for a given time interval. As force is equal to the product of mass and acceleration and acceleration is the rate of change of velocity with time. Then the product of force with time interval will be equal to the product of mass with change in velocity.

F = m a = $\frac{m(v-u)}{(t_{2}-t_{1} )}$

FΔt = mΔv

Impulse = FΔt=mΔv

As the mass of box is given as 2 kg and the velocity changes from 2 m/s to 5 m/s, then the impulse = 2 × (5-2) = 2 ×3 =6 J

So 6 J is the impulse caused by the change in velocity of 2 kg box from 2 m/s to 5 m/s.