Question
A car of mass 1000 kg moving with speed of $32 m / s$ collides with a truck of mass 8000 kg moving with velocity $4 m / s$ in the same direction. After the collision, the car returns in opposite direction with a velocity of $8 m / s$. Find the velocity of truck after the collision

Answer

 Total momentum of car and truck
$\begin{array}{l}
=1000 \times 32+8000 \times 4 \\
=32000+32000 \\
=64000 kgm / s
\end{array}$
Total momentum of the car and truck after the collision will remain the same as it was before the collision. If the velocity of truck at the time of collision is $v$ then,
$\text { or } \begin{aligned}
8000 v+1000(-8) & =64000 \\
8000 v & =64000+8000 \\
8000 v & =72000 \\
\therefore \quad & v
\end{aligned}=\frac{72000}{8000}=9 m / s .$
Hence, the vleocity of the truck after the collision is
$9 m / s\quad \text { Ans. }$

Need a full question paper?

Generate a complete, print-ready paper with questions like this in minutes — across 16+ boards, with answer keys.

Start Generating Free

Similar questions

A small mass is released by an astronaut in a satellite in space. Will it fall on the earth?
If two waves of the same frequency but of different amplitudes travelling in opposite directions through a medium superpose upon each other, will they form stationary wave? Is energy transferred? Are there any nodes?
The moon takes about 27 days to complete one orbit around the earth. The orbit is nearly a circle of radius $3.8 \times 10^8 \mathrm{~m}$. Calculate the mass of the earth from this data.
Which of the following functions of time represent (a) simple harmonic, (b) periodic but not simple harmonic, and (c) non-periodic motion? Give period for each case of periodic motion ($\omega$ is any positive constant): $3\cos\Big(\frac{\pi}{4}-2\omega\text{t}\Big)$
Three sources of sound $\mathrm{S}_1, \mathrm{~S}_2$ and $\mathrm{S}_3$ of equal intensity are placed in a straight line with $\mathrm{S}_1 \mathrm{~S}_2=\mathrm{S}_2 \mathrm{~S}_3$ figure. At a point P , far away from the sources, the wave coming from S is $120^{\circ}$ ahead in phase of that from $\mathrm{S}_1$. Also, the wave coming from $\mathrm{S}_3$ is $120^{\circ}$ ahead of that from $\mathrm{S}_2$. What would be the resultant intensity of sound at P ?
A tennis ball of mass 'm' strikes a massive wall with a velocity V and traces back the same path. Calculate the change in momentum of the ball due to the wall.
If earth has a mass 9 times and radius twice that of a planet Mars, calculate the minimum velocity required by a rocket to pull out of the gravitational force of Mars. Take the escape velocity on the surface of earth to be 11.2 $kms ^{-1}$.
A parallel beam of monochromatic light of wavelength 663nm is incident on a totally reflecting plane mirror. The angle of incidence is 60° and the number of photons striking the mirror per second is $1.0 \times 10^{19}$. Calculate the force exerted by the light beam on the mirror.
Find the number of molecules in $1cm^3$ of an ideal gas at 0°C and at a pressure of $10^{-5}​​​​​​​$ mm of mercury.
Can a system be heated and its temperature remains constant?