Which of the following graphs represents the motion of a planet moving about the sun ?

Subtopic:  Kepler's Laws |
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The correct graph representing the variation of total energy (Et), kinetic energy (Ek) and potential energy (U) of a satellite with its distance from the centre of the earth is -

Subtopic:  Gravitational Potential Energy |
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What is the intensity of gravitational field of the centre of a spherical shell?

(1)     Gm/r2           

(2)    g

(3)      Zero             

(4)    None of these

Subtopic:  Gravitational Field |
 89%
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The diameters of two planets are in the ratio 4 : 1 and their mean densities in the ratio 1 : 2. The acceleration due to gravity on the planets will be in the ratio of:

1. 1 : 2                           
2. 2 : 3
3. 2 : 1                      
4. 4 : 1

Subtopic:  Acceleration due to Gravity |
 85%
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If the angular speed of the earth is doubled, the value of acceleration due to gravity (g) at the north pole

(1) Doubles                   

(2)  Becomes half

(3)  Remains same       

(4)   Becomes zero

Subtopic:  Acceleration due to Gravity |
 77%
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Escape velocity of a body of 1 kg mass on a planet is 100 m/sec. Gravitational Potential energy of the body at the planet is -

(1)   – 5000 J                     

(2)  – 1000 J

(3)   – 2400 J                      

(4)  5000 J

Subtopic:  Gravitational Potential Energy |
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At the surface of a certain planet, acceleration due to gravity is one-quarter of that on earth. If a brass ball is transported to this planet, then which one of the following statements is not correct?

1. The mass of the brass ball on this planet is a quarter of its mass as measured on earth
2. The weight of the brass ball on this planet is a quarter of the weight as measured on earth
3. The brass ball has the same mass on the other planet as on earth
4. The brass ball has the same volume on the other planet as on earth
Subtopic:  Acceleration due to Gravity |
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Weight of 1 kg becomes 1/6 kg on moon. If radius of moon is 1.768×106m, then the mass of moon will be -

(a) 1.99×1030kg                        (b) 7.56×1022kg

 (c) 5.98×1024kg                       (d) 7.65×1022kg

Subtopic:  Acceleration due to Gravity |
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Let g be the acceleration due to gravity at earth's surface and K be the rotational kinetic energy of the earth. Suppose the earth's radius decreases by 2% keeping all other quantities same, then

(1)  g decreases by 2% and K decreases by 4%

(2)  g decreases by 4% and K increases by 2%

(3)  g increases by 4% and K increases by 4%

(4)  g decreases by 4% and K increases by 4%

Subtopic:  Acceleration due to Gravity |
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The distance between centre of the earth and moon is 384000 km. If the mass of the earth is 6×1024 kg and G=6.66×10-11 Nm2/kg2 . The speed of the moon is nearly -

(a) 1 km/sec                          (b) 4 km/sec

(c) 8 km/sec                          (d) 11.2 km/sec

Subtopic:  Orbital velocity |
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