Q. No.Neglect the effect of rotation of the earth. Suppose the earth suddenly stops attracting objects placed near its surface. A person standing on the surface of the earth will:
| 1. | fly up |
| 2. | slip along the surface |
| 3. | fly along a tangent to the earth’s surface |
| 4. | remain standing |
| Statement I: | (Newton's 1st Law of Motion) Every body continues in its state of rest or of uniform motion in a straight line except in so far as it be compelled by an externally impressed force to act otherwise. |
| Statement II: | It is observed that when a car brakes suddenly, the passengers are thrown forward. |
| 1. | Statement I is true, Statement II is true, and Statement I is the correct explanation of Statement II. |
| 2. | Statement I is true, Statement II is true, and Statement I is not the correct explanation of Statement II. |
| 3. | Statement I is true, Statement II is false. |
| 4. | Statement I is false, Statement II is true. |
In the figure given below, a wooden block of mass \(2\) kg rests on a soft horizontal floor. When an iron cylinder of mass \(25\) kg is placed on top of the block, the floor yields steadily and the block and the cylinder together go down with an acceleration of \(0.1~\mathrm{m/s^2}\). What is the force of the block on the floor after the floor yields? (Take \(g=10~\mathrm{m/s^2}\).)
1. \(270\) N upward
2. \(267.3\) N downward
3. \(20\) N downward
4. \(267.3\) N upward
Two objects \(A\) and \(B\) are thrown upward simultaneously with the same speed. The mass of \(A\) is greater than the mass of \(B\). Suppose the air exerts a constant and equal force of resistance on the two bodies.
| 1. | the two bodies will reach the same height. |
| 2. | \(A\) will go higher than \(B\). |
| 3. | \(B\) will go higher than \(A\). |
| 4. | any of the above three may happen depending on the speed with which the objects are thrown. |
| 1. | along south-west | 2. | along eastward |
| 3. | along northward | 4. | along north-east |
A cricketer catches a ball of mass \(150~\mathrm{gm}\) in \(0.1\) \(\mathrm{s}\) moving with a speed of \(20~\mathrm{ms^{-1}}\). Then he experiences a force of:
1. \(300~\mathrm{N}\)
2. \(30~\mathrm{N}\)
3. \(3~\mathrm{N}\)
4. \(0.3~\mathrm{N}\)
1. \(6\) m/s2
2. \(3\) m/s2
3. \(1.5\) m/s2
4. \(1.2\) m/s2
Two identical billiard balls strike a rigid wall with the same speed but at different angles, and get reflected without any change in speed, as shown in the figure. The ratio of the magnitudes of impulses imparted to the balls by the wall is:
1. \(2:3\)
2. \(\sqrt{3}:2\)
3. \(2:\sqrt{3}\)
4. \(1:1\)
A batsman hits back a ball straight in the direction of the bowler without changing its initial speed of \(12\) m/s. If the mass of the ball is \(0.15\) kg, then the impulse imparted to the ball is:
(Assume linear motion of the ball.)
1. \(0.15\) N-s
2. \(3.6\) N-s
3. \(36\) N-s
4. \(0.36\) N-s
When a horse pulls a cart, the force that helps the horse to move forward is the force exerted by:
| 1. | the cart on the horse. |
| 2. | the ground on the horse. |
| 3. | the ground on the cart. |
| 4. | the horse on the ground. |
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