Question

A body of mass 2 kg is acted on by a force F which varies with time tas shown in the figure. The momentum gained by the body at the end of 5 s is​

Answer 1

Explanation:

answer is 2.

fggmkkuujjkkkk(kkkkkkkk

Answer 2

Given: a force F is applied on a body of mass 2kg.

To find: the momentum gained by body at the end of 5s.

Step-by-stem explanation:

Step 1 of 2

The momentum gained by body will be calculated through graph.

The newton's second law states that resultant force is equal to rate of change of momentum.

$\int\limits{F} \, dt =\int\limits { \, dP$

The change in momentum is the area enclosed in the graph.

Step 2 of 2

Momentum gained after 5 seconds = area enclosed in graph

=area of trapezium

$=\frac{1}{2} (sum-of-parallel sides)(distance-between//sides)\\=\frac{1}{2} (1+5)(4)\\=12Ns$

The momentum gained by body at the end of 5s is 12Ns.