If radius of earth is R then the height h’ at which value of ‘g’ becomes one-fourth is 

(1)R4               

(2)3R4

(3)R                 

(4)R8

Subtopic:  Acceleration due to Gravity |
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The escape velocity from the surface of the earth is ve. The escape velocity from the surface of a planet whose mass and radius are 3 times those of the earth will be:

(1) ve                                                             

(2) 3ve

(3) 9ve                                                           

(4) 27ve

Subtopic:  Escape velocity |
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How much energy will be necessary for making a body of 500 kg escape from the earth?
g=9.8 m/s2, radius of earth=6.4×106m

(a) About 9.8×106J                        (b) About 6.4×108J

(c) About 3.1×1010J                      (d) About 27.4×1012J

Subtopic:  Escape velocity |
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Two planets have the same average density but their radii are R1  and R2. If acceleration due to gravity on these planets be g1 and g2 respectively, then

(1)    g1g2R1R2                   

(2) g1g2=R2R1

(3)    g1g2R12R22                  

(4) g1g2R13R23

Subtopic:  Acceleration due to Gravity |
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Assume that the acceleration due to gravity on the surface of the moon is 0.2 times the acceleration due to gravity on the surface of the earth. If RE is the maximum range of a projectile on the earth’s surface, what is the maximum range on the surface of the moon for the same velocity of projection ?

(a) 0.2Rε                     

(b) 2Rε

(c) 0.5Rε                     

(d) 5Rε

Subtopic:  Acceleration due to Gravity |
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If the density of the earth is increased \(4\) times and its radius becomes half of what it is, our weight will be:
1. four times the present value
2. doubled
3. the same
4. Halved

Subtopic:  Acceleration due to Gravity |
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The escape velocity on earth is 11.2 km/s. On another planet having twice radius and 8 times mass of the earth, the escape velocity will be

(a) 3.7 km/s                                                  (b) 11.2 km/s

(c) 22.4 km/s                                                 (d) 43.2 km/s

Subtopic:  Escape velocity |
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When a body is taken from the equator to the poles, its weight 
(1)   Remains constant           

(2)   Increases

(3)   Decreases                    

(4)   Increases at N-pole and decreases at S-pole

Subtopic:  Acceleration due to Gravity |
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The escape velocity of a body on the surface of the earth is 11.2 km/s. If the earth's mass increases to twice its present value and the radius of the earth becomes half, the escape velocity would become

(1) 5.6 km/s                                            

(2) 11.2 km/s (remain unchanged)

(3) 22.4 km/s                                           

(4) 44.8 km/s

Subtopic:  Escape velocity |
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A body of mass m is taken to the bottom of a deep mine. Then: 
1. Its mass increases
2. Its mass decreases
3. Its weight increases
4. Its weight decreases
Subtopic:  Acceleration due to Gravity |
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