Question

Consider two objects of the same mass. If a force of 100N acts on the first for a duration of 1s and on the other for a duration of 2s, which of the following statements is true?

a) Both objects experience the same change in momentum
b) The first object experiences a greater change in momentum
c) The second object experiences a greater change in momentum
d) Momentum change depends on the initial velocities

Answer 1

When a force acts on an object for a certain duration of time, it causes a change in the object's momentum. In this scenario, the second object experiences a greater change in momentum.

Step-by-step explanation:

Momentum is the product of an object's mass and velocity, and is a measure of how much motion an object has.

When a force acts on an object for a certain duration of time, it causes a change in the object's momentum. This change in momentum is called impulse, which is equal to the force multiplied by the time.

In this case, we have two objects of the same mass experiencing a force of 100N. The force is acting on the first object for 1 second and on the second object for 2 seconds.

Using the formula for impulse, impulse = force x time, we can calculate the impulse for each object:

Impulse for the first object = 100N x 1s = 100 Ns

Impulse for the second object = 100N x 2s = 200 Ns

Since impulse is equal to the change in momentum, we can conclude that the second object experiences a greater change in momentum, and the correct answer is option c) The second object experiences a greater change in momentum.