Advertisements
Advertisements
प्रश्न
A particle of mass 100 g is kept on the surface of a uniform sphere of mass 10 kg and radius 10 cm. Find the work to be done against the gravitational force between them to take the particle away from the sphere.
उत्तर
The work done against the gravitational force to take the particle away from the sphere to infinity is equal to the difference between the potential energy of the particle at infinity and potential energy of the particle at the surface of the sphere.
\[\therefore W = 0 - \left( - \frac{G \times 10 \times 0 . 1}{1 \times 0 . 1} \right)\]
\[ = \frac{6 . 67 \times {10}^{- 11} \times 1}{1 \times 0 . 1}\]
\[ = 6 . 67 \times {10}^{- 10} J\]
APPEARS IN
संबंधित प्रश्न
What happens to the force between two objects, if the distance between the objects is doubled and tripled?
What happens to the force between two objects, if the masses of both objects are doubled?
State and explain Kepler's laws of planetary motion. Draw diagrams to illustrate these laws.
At noon, the sun and the earth pull the objects on the earth's surface in opposite directions. At midnight, the sun and the earth pull these objects in same direction. Is the weight of an object, as measured by a spring balance on the earth's surface, more at midnight as compared to its weight at noon?
Consider a planet moving in an elliptical orbit round the sun. The work done on the planet by the gravitational force of the sun
(a) is zero in any small part of the orbit
(b) is zero in some parts of the orbit
(c) is zero in one complete revolution
(d) is zero in no part of the motion.
Two small bodies of masses 10 kg and 20 kg are kept a distance 1.0 m apart and released. Assuming that only mutual gravitational forces are acting, find the speeds of the particles when the separation decreases to 0.5 m.
A tunnel is dug along a chord of the earth at a perpendicular distance R/2 from the earth's centre. The wall of the tunnel may be assumed to be frictionless. Find the force exerted by the wall on a particle of mass m when it is at a distance x from the centre of the tunnel.
Define one Newton. How much maximum acceleration can it produce in a mass of 1 kg?
The acceleration produced by a force in an object is directly proportional to the applied _________ And inversely proportional to the _________ Of the object.
Distinguish between gravity and gravitation
What does a force do in the following case?
You apply brakes to a running car.
Name and state the action and reaction in the following case:
A person walking on the ground.
Name and state the action and reaction in the following case:
Hammering a nail.
Explain why:
The atmosphere does not escape.
Is there a gravitational attraction between you and the book? Explain.
The distance-time values for an object moving along straight line are given below:
| Time (s) | Distance (m) |
| 0 | 0 |
| 1 | 1 |
| 2 | 8 |
| 3 | 27 |
Mahendra and Virat are sitting at a distance of 1 m from each other.Their masses are 75 kg and 80 kg respectively. What is the gravitational force between them? (G = 6.67 × 10-11 Nm2/kg2)
As observed from earth, the sun appears to move in an approximate circular orbit. For the motion of another planet like mercury as observed from earth, this would ______.
Different points in earth are at slightly different distances from the sun and hence experience different forces due to gravitation. For a rigid body, we know that if various forces act at various points in it, the resultant motion is as if a net force acts on the c.m. (centre of mass) causing translation and a net torque at the c.m. causing rotation around an axis through the c.m. For the earth-sun system (approximating the earth as a uniform density sphere).
Complete the chart below.
| F(N) | M1(kg) | M2(kg) | D(m) |
| (a) | 50 | 84 | 02 |
| 16 × 109 | 1.63 × 1022 | (b) | 34 |
