The correct option is B 200 N-s
Given,
Impulsive force, F=100sint
Time, t=π sec
We know that
Impulsive force, F=dpdt
⇒ Impulse =dp=Fdt
Integrating on both sides we get,
p=p∫0dp=π∫0Fdt
⇒p=π∫0100 sint dt
=100[−cost]π0
=100[−(−1)−(−1)]
⇒p=200 N-s
The value of impulse in π sec is 200 N-s
Hence, option(b) is the correct answer.