$A$ large truck and a mini bus both moving with a velocity of magnitude $V$ have a head-on collision and both of them come to a halt after that. If the collision lasts for $1 \, s$:
$(a)$ Which vehicle experiences the greater force of impact?
$(b)$ Which vehicle experiences the greater change in momentum?
$(c)$ Which vehicle experiences the greater acceleration?

Vedclass pdf generator app on play store
Vedclass iOS app on app store
$(a-d)$ According to Newton's third law, the force exerted by the truck on the bus is equal in magnitude to the force exerted by the bus on the truck. Therefore, both vehicles experience the same force of impact.
$(b)$ Change in momentum $(\Delta p)$ is given by $m(v - u)$. Since the truck has a larger mass $(M > m)$, the magnitude of the change in momentum $|M(0 - V)|$ is greater for the truck than for the mini bus $|m(0 - V)|$.
$(c)$ Acceleration is given by $a = F/m$. Since both experience the same force $(F)$ but the mini bus has a smaller mass $(m)$, the mini bus experiences greater acceleration.

Explore More

Similar Questions

$(a)$ Define momentum. Write its $SI$ unit.
$(b)$ $A$ bullet of mass $0.02 \ kg$ is fired from a gun weighing $7.5 \ kg$. If the initial velocity of the bullet is $200 \ m \ s^{-1}$,calculate the speed with which the gun recoils.

$(a)$ Using Newton's law of motion, derive the relation between force and acceleration.
$(b)$ Define one newton.
$(c)$ Which would require a greater force to accelerate: a $0.5 \, kg$ mass at $5 \, m s^{-2}$ or a $4 \, kg$ mass at $2 \, m s^{-2}$? Give reason.

Difficult
View Solution

$A$ steam engine of mass $3 \times 10^{4} \text{ kg}$ pulls two wagons,each of mass $2 \times 10^{4} \text{ kg}$,with an acceleration of $0.2 \text{ m s}^{-2}$. Neglecting frictional forces,calculate the:
$(i)$ force exerted by the engine.
$(ii)$ force experienced by each wagon.

If the time taken to bring a ball to rest from a certain velocity $v$ is reduced to half,what will be the changes in values of
$(a)$ Initial and final momentum.
$(b)$ Change of momentum.
$(c)$ Rate of change of momentum.

Air is blown onto a sail attached to a boat from an electric fan placed on the boat. Will the boat start moving?

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