Center of Mass and Collision PYQs - Last 5 Years

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Practice 33 AP EAPCET Physics questions from Center of Mass and Collision. Use the year-wise and type-wise breakdown to prioritize recent PYQs, then continue into the question list below.

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Last 5 Years Center of Mass and Collision Questions

Showing 33 of 33 filtered questions.

1Center Of Mass

Two bodies of masses $M$ and $4 M$ initially at rest, start moving towards each other due to their mutual attraction. The velocity of their centre of mass when the first body attains a velocity $v_0$ is

2Center Of Mass

A body falls freely on to a hard horizontal surface. If the coefficient of restitution between the surface and the body is 0.8 , then the ratio of the maximum height to which the body rises after second impact and the initial height of the ...

3Center Of Mass

A body of mass 2 kg is moving towards north with a velocity of $20 \mathrm{~ms}^{-1}$ and another body of mass 3 kg is moving towards east with a velocity of $10 \mathrm{~ms}^{-1}$. The magnitude of the velocity of the centre of mass of the...

4Center Of Mass

A body of mass ' $m$ ' moving along a straight line collides with a stationary body of mass ' $2 m^{\prime}$. After collision if the two bodies move together with the same velocity, then the fraction of kinetic energy lost in the process is...

5Center Of Mass

A body moving along a straight line collides another body of same mass moving in the same direction with half of the velocity of the first body. If the coefficient of restitution between the two bodies is 0.5 , then the ratio of the velocit...

6Center Of Mass

A disc of mass 0.2 kg is kept floating in air without falling by vertically firing bullets each of mass 0.05 kg on the disc at the rate of 10 bullets per every second. If the bullets rebound with the same speed, then the speed of each bulle...

7Center Of Mass

The co-ordinates of the centre of mass of a uniform $L$ shaped plate of mass 3 kg shown in the figure is

8Center Of Mass

Two balls each of mass 250 g moving in opposite directions each with a speed $16 \mathrm{~ms}^{-1}$ collide and rebound with the same speeds. The impulse imparted to one ball due to the other is

9Center Of Mass

Three blocks $A, B$ and $C$ are arranged as shown in the figure such that the distance between two successive blocks is 10 m . Block $A$ is displaced towards block $B$ by 2 m and block $C$ is displaced towards block $B$ by 3 m . The distanc...

10Center Of Mass

A steel sphere of radius 1.2 cm collides a second steel sphere at rest. If the collision is elastic and after the collision the first sphere continues to move in its initial direction with a velocity of $\frac{7}{9}$ times its initial veloc...

11Center Of Mass

A block of mass 10 kg moving with a speed of $5 \hat{\mathrm{i}} \mathrm{ms}^{-1}$ on a frictionless horizontal surface suddenly explodes into two pieces. If one piece with mass 4 kg moves with a speed of $10 \hat{\mathbf{i}} \mathrm{~ms}^{...

12Center Of Mass

If two bodies of masses 2 kg and 3 kg are moving at right angles with velocities $20 \mathrm{~ms}^{-1}$ and $10 \mathrm{~ms}^{-1}$ respectively, then the velocity of the centre of mass of the system of the two bodies is

13Center Of Mass

A particle of mass $8 \mu \mathrm{~g}$ in motion collides with another stationary particle of mass $4 \mu \mathrm{~g}$. If the collision is perfectly elastic and one dimensional, the ratio of their de-Broglie wavelengths after collision is

14Center Of Mass

A soccer ball of mass 250 g is moving horizontally to the left with a speed $22 \mathrm{~ms}^{-1}$. This ball is kicked towards right with a velocity $30 \mathrm{~ms}^{-1}$ at an angle $53^{\circ}$ with the horizontal in upward direction. A...

15Center Of Mass

Two blocks of equal masses are tied with a light string passing over a massless pulley (assuming frictionless surfaces ) acceleration of centre of mass of the two blocks is $\left(g=10 \mathrm{~ms}^{-2}\right)$

16Center Of Mass

A body of mass 30 kg moving with a velocity $20 \mathrm{~ms}^{-1}$ undergoes one-dimensional elastic collision with another ball of same mass moving in the opposite direction with a velocity of $30 \mathrm{~ms}^{-1}$. After collision the ve...

17Center Of Mass

A ball falls freely from rest from a height of 6.25 m on a hard horizontal surface. If the ball reaches a heightd 81 cm after second bounce from the surface, the coefficient of restitution is

18Center Of Mass

A wooden plank of mass 90 kg and length 3.3 m is floating on still water. A girl of mass 20 kg walks from one end to the other end of the plank. The distance through which the plank moves is

19Center Of Mass

A body of mass 2 kg collides head on with another body of mass 4 kg . If the relative velocities of the bodies before and after collision are $10 \mathrm{~ms}^{-1}$ and $4 \mathrm{~ms}^{-1}$ respectively. The loss of kinetic energy of the s...

20Center Of Mass

Two blocks of masses $m$ and $2 m$ are connected by a massless string which passes over a fixed frictionless pulley. If the system of blocks is released from rest, the speed of the centre of mass of the system of two blocks after a time of ...

21Center Of Mass

A ball falls freely from rest on to a hard horizontal floor and repeatedly bounces. If the velocity of the ball just before the first bounce is $7 \mathrm{~ms}^{-1}$ and the coefficient of restitution is 0.75 , the total distance travelled ...

22Center Of Mass

In an inclastic collision, after collision the kinetic energy

23Center Of Mass

A body falls freely from a height of 100 m on to the ground and rebounds to a maximum height of 36 m after collision. The coefficient of restitution between ground and the body is

24Center Of Mass

Two particles of masses 5 g and 3 g are separated by a distance of 40 cm . The centre of mass of the system of these two particles

25Center Of Mass

Ball \(A\) of mass 1 kg moving along a straight line with a velocity of \(4 \mathrm{~ms}^{-1}\) hits another ball \(B\) of mass 3 kg which is at rest. After collision, they stick together and move with the same velocity along the same strai...

26Center Of Mass

Masses \(m\left(\frac{1}{3}\right)^N \frac{1}{N}\) are placed at \(x=N\), when \(N=2,3,4 \ldots \infty\). If the total mass of the system is \(M\), then the centre of mass is

27Center Of Mass

A ball of mass 0.5 kg moving horizontally at \(10 \mathrm{~ms}^{-1}\) strikes a vertical wall and rebounds with speed \(v\). The magnitude of the change in linear momentum is found to be \(8.0 \mathrm{~kg}-\mathrm{~ms}^{-1}\). The magnitude...

28Center Of Mass

Two balls \(A\) and \(B\), of masses \(M\) and \(2 M\) respectively collide each other. If the ball \(A\) moves with a speed of \(150 \mathrm{~ms}^{-1}\) and collides with ball \(B\), moving with speed \(v\) in the opposite direction. After...

29Center Of Mass

As shown in the figure, an iron block \(A\) of volume \(0.25 \mathrm{~m}^3\) is attached to a spring \(S\) of unstretched length 1.0 m and hanging to the ceiling of a roof. The spring gets stretched by 0.2 m . This block is removed and anot...

30Center Of Mass

A ball of mass 3 kg, moving with a speed of
100 ms\(^{-1}\), strikes a wall at an angle 60\(^\circ\)
(as shown in figure). The ball rebounds at
the same speed and remains in contact with
the wall for 0.2 s, the force exerted by the
ball on ...

31Center Of Mass

The sum of moments of all the particles in a
system about its centre of mass is always

32Center Of Mass

A particle of mass m, moving with a velocity
v makes an elastic collision in one dimension
with a stationary particle of mass m. During
the collision, they remain in contact with
each other for an extremely small time T.
Their force of cont...

33Center Of Mass

A metal ball of mass 2 kg moving with a
velocity of 36 km/h has a head on collision
with a stationary ball of mass 3 kg. After the
collision, if both balls move together, then
the loss in kinetic energy due to collision is