Question

A particle is projected from ground at an angle of ${45}^{\circ }$ with initial speed of $30\sqrt{2}$ m/s. Mass of the body is 500 gram then impulse(in Ns) by gravitational force during flight is

• A. 20
• B. 30
• C. 40
• D. 50

Answer 1

The correct option is B 30

Impulse=Ft=mg (Time of Flight)

Force = m g = $0.5\times 10=5$ N

Time of Flight = $\frac{2usin\theta }{g}=\frac{2\times \text{/}30\sqrt{\text{/}2}\times \frac{1}{\sqrt{\text{/}2}}}{\text{/}10}=6$ s

Impulse = F t= $5\times 6=30$ Ns