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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Given mass of the moon is 1/81 of the mass of the earth and corresponding radius is 1/4 of the earth. If escape velocity on the earth surface is  11.2 km/s, the value of same on the surface of the moon is

(1)0.14 km/s                                                  (2)0.5 km/s

(3)2.5 km/s                                                    (4)5 km/s

Subtopic:  Escape velocity |
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The angular velocity of rotation of star (of mass M and radius R) at which the matter start to escape from its equator will be

(1)2GM2R                                             

(2)2GMg

(3)2GMR3                                               

(4)2GRM

Subtopic:  Escape velocity |
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A body weighs 700 gm wt on the surface of the earth. How much will it weigh on the surface of a planet whose mass 17 of earth's mass and radius is half that of the earth ?

(1)  200 gm wt                         

(2)  400 gm wt     

(3)  50 gm wt

(4)  300 gm wt

Subtopic:  Acceleration due to Gravity |
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What will be the acceleration due to gravity at height h if h >> R  where R is radius of earth and g is acceleration due to gravity on the surface of earth ?

(1) g1+hR2               

(2) g1-2hR

(3) g1-hR2                 

(4)g1-hR 

Subtopic:  Acceleration due to Gravity |
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