CBSE Class 12 Physics Centre of Mass Advanced Assignment.

CBSE Class 12 Physics Centre of Mass Advanced Assignment. Please refer to the examination notes which you can use for preparing and revising for exams. These notes will help you to revise the concepts quickly and get good marks.

1. A plastic ball is dropped from a height of 1 m and rebounds several times from the floor. If 1.3 seconds elapse from the moment it is dropped to the second impact with the floor, what is the coefficient of restitution between the ball and the floor.

2. A ball is dropped on the ground from a height h. If the coefficient of resitutution is e, then find the total distance travelled by the ball before coming to rest and the total time elapsed.

3. A block of mass m1 = 150 kg is at rest on a very long frictionless table, one end of which is terminated in a wall. Another block of mass m2 is placed between the first block and the wall, and set in motion towards m1 with constant speed u2.

Assuming that all collisions are completely elastic, find the value of m2 for which both blocks move with the same velocity after m3 has collided once with m1 and once with the wall. The wall has effectively infinite mass.

4. A simple pendulum is suspended from a peg on a vertical wall. The pendulum is pulled away from the wall to a horizontal position and released. The ball hits the wall, the coefficient of restitution being (2 / 5 ) . What is the minimum number of collisions after which the amplitude of oscillation becomes less than 60º.

5. A block A of mass 2 m is placed on another block B of mass4 m which in turn is placed on a fixed table. The two blocks have the same length 4 d and they are placed as shown in the
figure. The coefficient of friction (both static and kinetic)

between the block B and the table is μ. There is no friction between the two blocks. A small object of mass m moving horizontally along a line passing through the centre of mass of the block B and perpendicular to its face with a speed v collides elastically with the block B at a height d above the table.

(a) What is the minimum value of v (call it v0), required to make the block A topple
(b) If v = 2 v0 find the distance (from the point P) at which the mass m falls on the table after collision.

6. A 60 kg man and a 50 kg woman are standing on opposite ends of a platform of mass 20 kg. The
platform is placed on a smooth horizontal ground. The man and the woman begin to approach each other.
Find the displacement of the platform when the two meet in terms of the displacement x0 of the man
relative to the platform. The length of the platform is 6 m.

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