A force of 10N acts on a body of mass 2kg for three seconds, initially at rest. Calculate the
(1) The velocity acquired by a body
(2) Change in the momentum of the body
Step1: Given data
A force of 10N acts on a body of mass 2kg for three seconds, initially at rest.
Step2: Formula used
Newton's second law,
First kinematic equation,
Momentum,
Step3: Calculating the velocity of the body
We can determine the acceleration of the body using Newton’s second law of motion as follows,
Substituting and
In the above equation, we get,
Let’s determine the final velocity of the body using the first kinematic equation as follows,
Substituting , and
In the above equation, we get,
Step4: Calculating the momentum of the body
We can express the change in the momentum of the body as,
Substituting , and
in the above equation, we get, .
(1) Therefore, the final velocity of the body is 15 m/s.
(2) Therefore, the change in the momentum of the body is 30 kg m/s.