A particle is acted upon by a force whose component's variations with time are shown in diagrams. Then choose the correct option(s)

Options

A. The magnitude of impluse acting on the particle along `x` direction in `0.1` sec is `2kg "(m)/(sec)`
B. The magnitude of impluse acting on the particle along `y` direction in `0.1` sec is `5sqrt(2)kg"(m)/(sec)`
C. The magnitude of impluse acting on the particle along `z` direction in `0.1` sec is `2kg"(m)/(sec)`
D. The magnitude of impluse acting on the particle along `z` direction in `0.1` sec is `5kg"(m)/(sec)`

Answer

B

Explanation

Change in momentum `=` Impulse
`DeltavecP = J_(x)hat(i) + J_(y)hat(j)+J_(2)hat(k)`
`= 30(0.1)hat(i) + (1)/(2)(80)(0.1)hat(j) + (-50) xx (0.1)hat(k)`
`= 3hat(i) + 4hat(j) - 5hat(k)`
`|DeltavecP| = 5sqrt(2)kg"(m)/(sec)`.