Question

the show how the force acting on a body varies with time. assuming that the body is moving in a straight line by how does its momentum change?​

Answer 1

Answer:

We know that force is given as F=

dt

d

P so the impulse will be given as dP=Fdt

integrating both sides we get ∫dP=∫Fdt

so the implulse dP is nothing but area under F−t graph.

Now the area for the range t=4 to t=16 is trapezium+triangle=

2

1

(sum)×separation+

2

1

base×height

or dP=

2

1

(200+800)N×(6−4)μsec+

2

1

×(16−6)μsec×800N=5000Nμsec=0.005Nsec