Variation of G Due to the Rotation of Earth

Q.

Escape velocity does not depend on:

1. Mass of body only

2. Direction of projection of body only

3. Mass of the planet or earth

4. Both mass and Direction of projection of body

Q. Two point masses m and 4m are separated distance d on a line. A third point mass mo is t be placed at a point on the line such that the net gravitational force on it is zero.The distance of that point from the m mass is

Q. a ball is projected vertically upward. its speed at half of maximum height is 30m/s maximum height attained by the ball is

Q. 9.A planet of mass m moves around the sun of mass M in a circular orbit of radius R with angular speed w. Another planet of mass 2 m moves around the sun in circular orbit of radius 4R with angular speed w find the ratio of w/w

Q. A body weighs 144N at the surface of earth.when it is taken to a height of h=3R, where R is radius of earth, it would weigh (1)48N (2)36N (3)9N (4) 16N

Q. a ball is moving with speed 20m/s collides with a smooth surface at an ange of 30 degree and revert back with same angl the magnitude of change in velocity of the ball will be

Q. Two planets have same density but different radii. The acceleration due to gravity would be 1 same on both planets 2 greater on the smaller planet 3 greater on the larger planet 4 dependent on the distance of planet from the sun

Q. A body of mass 1 kg is suspended from massless spring of natural length 1 m. If mass is released from rest, spring stretches upto a vertical dis†an ce of 40 cm, the potentual energy stored in the spring at this extension i

Q. (4) 0.7in the given arrangement all surfaces are smooth, What acceleration should be given to the system, for whichblock m, doesnt slide down?m, Mm2(1) 2gm, m.g(2)m2(3) gm2g(4)m, +m2

Q. deduce the relation between the orbital velocity of a body moving round the earth just over its surface and its escape velcity

Q. a bus moves over a straight level road with a cons†an t acceleration a a boy in a bus drops a ball outside .the acceleration of the ball with respect to the bus and earth are

Q.

A cylindrical bucket filled with water is whirled around in a vertical circle of radius r. What can be the minimum speedat the top of the path if water does not fall out from the bucket? If it continues with this speed, what normal contact force the bucket exerts on water at the lowest point of the path?

1. $V_{min}=\sqrt{rg}$
   $N_{lowest}=Mg$

2. $V_{min}=\sqrt{rg}$
   $N_{lowest}=2Mg$

3. $V_{min}=\sqrt{\frac{rg}{2}}$
   $N_{lowest}=Mg$

4. $V_{min}=\sqrt{rg}$
   $N_{lowest}=Mg$

Q. 14. Ball A is thrown up vertically with a speed 10m/s . At the same instant another ball B is released from rest at height h . At time t , the speed of A relative to B is ?

Q. Two equal masses each of mass m are initially situated at 2R separation. If they start to move due to mutual gravitational force the their velocity, when the separation is R,

Q.

Who among the following gave first the experimental value of G

1. Cavendish

2. Copernicus

3. Brook Teylor

4. None of these

Q. 11. Two planets have same density but different radii. The acceleration due to gravity would be 1 same on both planets 2 greater on the smaller planet 3 greater on the larger planet 4 dependent on the distance of planet from the sun

Q. A ball is thrown up vertically with speed u. At the same instant another ball b is released from rest at height h vertically above the point of projection A taking the moment of projection of A .Taking the moment of projection as t=0 and acceleration due to gravity is g at the momment of collision the position of a is at a distance?

Q. A BALL IS THROWN VERTICALLY UPWARD .WHAT IS THE MAGNITUDE OF VELOCITY AT HIGHEST POINT

Q. A ball is thrown vertically upward with a velocity u from the top of tower. if it strikes the ground with velocity 3u, the time taken by the ball to reach the ground i

Q. 32. a ball is bouncing elastically with a speed of 1 m/s between walls of a railway compartment of size 10m in a direction perpendicular to the walls . the train is moving at a constant velocity of 10 m/s parallel to the direction of motion of the ball. as seen from the ground, 1. the direction of motion of the ball changes every 10 seconds 2. the speed of the ball changes every 10 seconds. 3.average speed of the ball over any 20 second interval is fixed. 4.the acceleration fo the ball is the same as from the train

Q. A body of mass $2\text{kg}$ is projected from origin with a velocity $3\text{m/s}$ along positive $x-$ axis on which a force $-x^2$ is acting. Find the maximum distance from origin upto which the body can go. ($x$ is the position of particle)

1. $4\text{m}$
2. $5\text{m}$
3. $3\text{m}$
4. $6\text{m}$

Q. A bullet of mass $50\text{gm}$ is fired with a velocity of $90\text{m/s}$ towards a ball of mass $500\text{gm}$, initially at rest. When the bullet strikes the ball, it gets embedded into it and the system starts moving. What is the ratio of the kinetic energy of the bullet to the kinetic energy of the $\text{(bullet + ball)}$ system?

1. $10.5$
2. $11$
3. $8$
4. $14$

Q. 2.A ball projected from ground vertically is at same height at time t1 and t2.The speed of projection of ball is (neglect the effect of air resistance) 1.g(t2 — t1) 2.g(t1 + t2)/2 3.g(t2 — t1)/2 4.g(t1 + t2)

Q. How much energy is required to move a stationary body of mass m from an orbit of radius 2R to 4R?

Q.

can a body have zero velocity and still be accelerating

Q.

A body of mass 1kg and 10kg are dropped simultaneously from the top of a tower. The ratio of the time taken by them to reach the ground is

1. 9.8:98

2. 1:10

3. 10:1

4. 1:1

Q. A ball is thrown vertically upward. What is the magnitude of velocity at the highest point?

Q. 75.A planet of mass M and radius r is surrounded by an atmosphere of constant density consisting of a gas of molar mass ¥.Determine thetemperature T of the atmosphere on the surface of the planet if the height of the atmosphere is h and R is the gas constant h <

Q. explain:"negative acceleration is not always deceleration." and why does a ball coming down have negative acceleration

Q.

Two satellites $S_1$ and $S_2$ revolve round a planet in coplanar circular orbits in the same sense. Their periods of revolution are 1 hour and 8 hours respectively. The radius of the orbit of $S_1={10}^4$km When $S_2$ is closest to $S_1$ find speed of $S_2$ relative to $S_2$ and the angular speed of $S_1$ actually observed by an astronaut at $S_1$.

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