Center of Mass and Collision · Physics · AP EAPCET

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MCQ (Single Correct Answer)

1
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
AP EAPCET 2024 - 21th May Morning Shift
2
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 system due to the collision is
AP EAPCET 2024 - 20th May Morning Shift
3
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
AP EAPCET 2024 - 20th May Morning Shift
4
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 by the ball before it comes to rest is (acceleration due to gravity $=10 \mathrm{~ms}^{-2}$ )
AP EAPCET 2024 - 19th May Evening Shift
5
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 5.4 s is (acceleration due to gravity $=10 \mathrm{~ms}^{-2}$ )
AP EAPCET 2024 - 19th May Evening Shift
6
In an inclastic collision, after collision the kinetic energy
AP EAPCET 2024 - 18th May Morning Shift
7

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 straight line. If the time of impact of the collision is 0.1 s then the force exerted on $$B$$ is

AP EAPCET 2022 - 5th July Morning Shift
8

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 collision if ball $$A$$ comes to rest and the coefficient of restitution is 1 (one), then the speed of the ball $$B$$ before it collides with ball $$A$$ is

AP EAPCET 2022 - 4th July Evening Shift
9

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 another block $$B$$ of iron of volume $$0.75 \mathrm{~m}^3$$ is now attached to the same spring and kept on a frictionless incline plane of $$30^{\circ}$$ inclination. The distance of the block from the top along the incline at equilibrium is

AP EAPCET 2022 - 4th July Evening Shift Physics - Center of Mass and Collision Question 9 English

AP EAPCET 2022 - 4th July Evening Shift
10

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 of $$v$$ is

AP EAPCET 2022 - 4th July Morning Shift
11

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

AP EAPCET 2022 - 4th July Morning Shift
12

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

AP EAPCET 2021 - 19th August Morning Shift
13

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 contact, with time is shown in the figure. Then, F0

AP EAPCET 2021 - 19th August Morning Shift Physics - Center of Mass and Collision Question 13 English

AP EAPCET 2021 - 19th August Morning Shift
14

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

AP EAPCET 2021 - 19th August Morning Shift
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