The velocity-time graph of a ball moving on the surface of a floor as shown in figure. Calculate the force acting on the force acting on the ball, if mass of the ball is 200g.

Options

A. 2 N
B. 5 N
C. 1 N
D. 3 N

Answer

C

Explanation

The graph shows that the velocity of the ball at t = 0 is 0
`rArr` Initial velocity of the ball = u = 0
from the graph , final velocity of the ball after 4 seconds
`= v = 20 m s^(-1)`
Mass of the ball ` = m = 200 g = (200)/(1000) kg = (1)/(5) kg`
Force acting on the ball = F = ?
We know that, F = ma = m ` ((v - u)/( t)) " ". . . (i)`
Substituting the given values in eq. (i) , we have
Force acting on the ball = F = ma ` = (1)/(5) ((20 - 0)/( 4)) = (1)/(5) xx 5 = 1 N`
Therefore net force acting on the ball is 1 N