# From a well-shuffled deck of 52 cards, one card is drawn. Find the probability that the card drawn is a face card.

Updated On: 27-4-2021

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1.4 k+

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Can the centre of mass of a body be at a point outside the body?

If all the particle of a system lie in X-Y plane is it necessary that the centre of mass be in X-Y plane?

If all the particle of a system lie in a cube is it necessary that the centre of mass be in the cube?

The centre of mass is defined as

vecR=1/Msum_im_ivecr_i

. Suppose we define centre of charge as

vecR_c=1/Qsum_iq_Ivecr_i where q_i

represents the ith charge placed at

vecr_i and Q

is the total charge of the sytem<br> a. Can a centre of charge of two charge system be outside the line segment joining the charges? <br> b. If all the charges of a system are in X-Y plane? <br> c. If all the charges of a system lie in a cube, is it necessary that the centre of charge be in the cube?

The weight Mg of an extended body is generally shown in a diagram to act through the centre of mass. Does it mean that the earth does not attract other particles?

A bullet of mass 50g if fired from below into the bob of mass 450g of a long simple pendulum as shown in Fig. The bullet remains inside the bob and the bob rises through a height of 1.8m. Find the speed of the bullet.Take

g=10 m/s^2

<br> <img src="https://d10lpgp6xz60nq.cloudfront.net/physics_images/HCV_VOL1_C09_S01_022_Q01.png" width="80%">

A light spring of spring constant k is kept compressed between two blocks of masses m and M on a smooth horizontal surface. When released, the blocks acquire velocities in opposite directions. The spring loses contact with the blocks when it acquires natural length. If the spring was initially compressed through a distance d find the final speeds of the two blocks. <br> <img src="https://d10lpgp6xz60nq.cloudfront.net/physics_images/HCV_VOL1_C09_S01_023_Q01.png" width="80%">

A block of mass m is connect to another block of mass M by a massless spring of spring constant k. The blocks are kept on a smooth horizontal plane. Initially the blocks are at rest and the spring is unsrtretched when a constnt force F starts acting on the block of mass M to pull it. Find the maximum extension of the spring. <br> <img src="https://d10lpgp6xz60nq.cloudfront.net/physics_images/HCV_VOL1_C09_S01_024_Q01.png" width="80%">

The two balls shown in figure are identical the first moving at a speed v towards right and the second staying at rest. The wall at the extreme right is fixed. Assume all collisions to be elastic. Show that the speeds of the balls remain unchanged after all the collisions have taken place. <br> <img src="https://d10lpgp6xz60nq.cloudfront.net/physics_images/HCV_VOL1_C09_S01_025_Q01.png" width="80%">

A block of mass m moving at a velocity

upsilon

collides head on with another block of mass 2m at rest. If the coefficient of restitution is 1/2, find the velocities of the blocks after the collision.

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