The velocity-time graph of a ball of mass $20 \ g$ moving along a straight line on a level ground is given below. How much force does the ground exert on the ball to bring it to rest?

Vedclass pdf generator app on play store
Vedclass iOS app on app store
(N/A) Given:
Mass of the ball,$m = 20 \ g = 0.02 \ kg$.
From the velocity-time graph:
Initial velocity,$u = 20 \ m \ s^{-1}$ (at $t = 0 \ s$).
Final velocity,$v = 0 \ m \ s^{-1}$ (at $t = 10 \ s$).
Time taken,$t = 10 \ s$.
Using Newton's second law of motion,the force $F$ exerted by the ground on the ball is given by:
$F = m \times a = m \times \frac{(v - u)}{t}$
Substituting the values:
$F = 0.02 \times \frac{(0 - 20)}{10}$
$F = 0.02 \times (-2) = -0.04 \ N$.
The negative sign indicates that the force exerted by the ground (frictional force) is in the direction opposite to the motion of the ball. Thus,the magnitude of the force is $0.04 \ N$.

Explore More

Similar Questions

$A$ bullet of mass $10\, g$ is fired from a rifle. The bullet takes $0.003\, s$ to move through its barrel and leaves with a velocity of $300\, m s^{-1}$. What is the force exerted on the bullet by the rifle (in $, N$)?

When a net force acts on an object,the object will be accelerated in the direction of the force with an acceleration proportional to:

$A$ book of mass $2 \, kg$ is sliding with a constant velocity of $4 \, m s^{-1}$ on a frictionless horizontal table. What is the force required to keep the object moving with the same velocity (in $, N$)?

State the reason for the following:
$(i)$ Some leaves may get detached from a tree if we vigorously shake its branch.
$(ii)$ It is advised to tie any luggage kept on the roof of a bus with a rope.

An athlete runs some distance before taking a long jump,because

Vedclass Products

For Students

Vedclass Test Series

Mock tests in real JEE/NEET style with performance analysis. 5-day free trial.

Start Free Trial
For Teachers

Exam Paper Generator

Generate Set A/B/C/D exam papers from 7.5L+ questions in 2 minutes. 3 chapters free.

Try Free
For Institutes

Online Exam Module

Live online exams with unlimited students, 360° analytics & white-label branding.

See Demo