Assertion : A quick collision between two bod | vedclass

Name: Exam Paper Generator | JEE NEET Paper Generator | Vedclass
Brand: Vedclass
Rating: 5 (35 reviews)

Question

(A) According to Newton's second law,the impulsive force $F$ is given by $F = \frac{\Delta p}{\Delta t}$,where $\Delta p$ is the change in momentum an

Vedclass · Accepted Answer

If both $Assertion$ and $Reason$ are correct and the $Reason$ is a correct explanation of the $Assertion$.

Vedclass · Answer

(A) According to Newton's second law,the impulsive force $F$ is given by $F = \frac{\Delta p}{\Delta t}$,where $\Delta p$ is the change in momentum and $\Delta t$ is the time duration of the collision.In a quick collision,the time duration $\Delta t$ is very small.Since the change in momentum $\Delta p$ is the same for both cases (as initial and final velocities are identical),the force $F$ is inversely proportional to $\Delta t$ $(F \propto \frac{1}{\Delta t})$.Therefore,for a smaller $\Delta t$,the force $F$ is much larger,making the collision more violent.The rate of change of momentum is defined as $\frac{\Delta p}{\Delta t}$,which is exactly the force $F$.Since $\Delta t$ is smaller in the first case,the rate of change of momentum is indeed greater.Thus,both the $Assertion$ and $Reason$ are correct,and the $Reason$ is the correct explanation of the $Assertion$.

$Assertion$ : $A$ quick collision between two bodies is more violent than a slow collision,even when the initial and final velocities are identical.
$Reason$ : The rate of change of momentum is greater in the first case.

Similar Questions

$A$ boy hits a baseball with a bat and imparts an impulse $J$ to the ball. The boy hits the ball again with the same force,except that the ball and the bat are in contact for twice the amount of time as in the first hit. The new impulse equals:

The figure below shows the position-time graph of a body of mass $0.04 \; kg$. Suggest a suitable physical context for this motion. What is the time between two consecutive impulses received by the body? What is the magnitude of each impulse?

In the figure,the position-time graph of a particle of mass $0.1\, kg$ is shown. The impulse at $t = 2\, s$ is ......... $kg\, m/s$.

$A$ ball of mass $0.1 \, kg$ coming with a speed of $30 \, m/s$ strikes a bat and returns in the opposite direction with a speed of $40 \, m/s$. Calculate the impulse. (Take the final velocity as positive.)

$A$ body of mass $2 \, kg$ collides with a wall with a speed of $100 \, m/s$ and rebounds with the same speed. If the time of contact was $1/50 \, s$,the force exerted on the wall is:

Vedclass Test Series

Exam Paper Generator

Online Exam Module

$Assertion$ : $A$ quick collision between two bodies is more violent than a slow collision,even when the initial and final velocities are identical.$Reason$ : The rate of change of momentum is greater in the first case.