Question

How long would a force of 30N act on a body of mass 10kg so that the body gains a velocity of 24 ms-1?​

Answer 1

Answer:

Given:

Mass of body = 10 kg

Force experienced = 30 N

Final Velocity = 24 m/s

To find:

Time for which force acts on the body

Calculation:

First we need to find out the acceleration of the body.

acc. = force/mass

=> acc. = 30/10

=> acc. = 3 m/s²

Now, applying the Equations of Kinematics :

v = u + (acc.)t

=> 24 = 0 + (3)t

=> 3t = 24

=>t = 8 seconds.

So, the force acted for 8 seconds on the body.

Answer 2

Answer: Force acted on the body is 8 seconds.

Explanation:

Given:

Velocity = 24m/s

Mass of Body = 10kg

Force applied = 30N

To find: We have to find time for which the force will act on the body.

In this question, we have to first find Force acts on body for time.

Therefore, Force acts on body:

v = u + acceleration × Time

Acceleration = Force / Mass

= 30/10

= 3

Therefore, acceleration on the body = 3 m/s²

Now,

v = u + acceleration × time

= 24 = 0 + (3)t

= 3t = 24

= t = 8 seconds.

Therefore, Force acted on the body is 8 seconds.