A force of 10 Newton acts on a body of mass 20 kg for 10 seconds. Change in its momentum is

The correct option is 5 kg m/s.

To find the value corresponding to the correct option, we can determine the change in velocity of the body using the equations of motion under a constant force.

1. Identify the given parameters:
Force acting on the body, $F=10\text{N}$
Mass of the body, $m=20\text{kg}$
Time duration, $t=10\text{s}$

2. Calculate the acceleration of the body:
Using Newton's second law of motion, the acceleration $a$ is given by:

$a=\frac{F}{m}$
Substituting the given values:

$a=\frac{10}{20}=0.5{\text{m/s}}^2$

3. Calculate the change in velocity:
The change in velocity $\Delta v$ of the body over the time duration is:

$\Delta v=a\times t$
Substituting the value of acceleration and time:

$\Delta v=0.5\times 10=5\text{m/s}$

Therefore, the calculated change in velocity of the body is 5 m/s, which corresponds to the value of 5 in the correct option.