Physics numerical :- chapter- Gravitational force
Q.1. What will be the weight of an object weighing 15 kgf on the moon? :-
A) 12 N
B) 15 N
C) 25.83 N N
D) 22.11 N
ANSWER= C) 25.83 N
Explanation:- To convert kgf to newton, it is multiplied by 9.8.
Therefore,
15kgf = 15×9.8
=155.0N
The weight of the object on the Moon is ⅙ times the weight of the object on the Earth.
Therefore, the weight of a 15kgf object on the moon would be 155÷6 = 25.83 N.
Q.2. The value of g is 9.3 at a height of 100 m, then at what depth from the surface of the earth will the value of g become 9.3 m/s²?:-
A) 200 m
B) 100 m
C) 400 m
D) 900 m
ANSWER= A) 200 m
Explain:- The value of g at h height and g at d depth has the following relation:-
d =2h
so d=2×100
=200 m
Q.3. What is the weight of 1 kg object? :-
A) 98 N
B) 1000 N
C) 1 N
D) 9.8 N
ANSWER= D) 9.8 N
Explain:- Weight W = mg
= 1×9.8
= 9.8 N
Q.4. If the weight of an object on earth is m, then what will be the weight of this object on the moon?:-
A) m/6
B) m
C) 6m
D) m/3
ANSWER= A) m/6
Explain:-
Q.5. What will be the weight of a 15 kg object on the moon? (g=10 m/s²):-
A) 15 N
B) 30 N
C) 20 N
D) 25 N
ANSWER= D) 25N
Explain:- Weight of 15 kg object on earth = 15×10
= 150N
Weight of the object on the moon = ⅙ of the weight of the object on the earth
= 150 ×⅙
= 25
Q.6. Two objects whose masses are 10kg and 20kg are placed at a distance of 100m from each other. What will be the gravitational force between the two objects? :-
A) 15.87× 10- 11 N
B) 0.1334 × 10-11 N
C) 23.5× 10-11 N
D) 11.54 × 10-11 N
ANSWER= B) 0.1334 × 10-11 N
Explain:- F = G( m₁m₂)÷ r²
={ 6.67 ×10-¹¹ ×(10×20)}÷ (100)²
= (6.67 ×10-¹¹)200÷ 10000
= 13.34 × 10-¹¹ 100
= 0.1334 ×10-¹¹ N
Q.7. The weight of a 2kg object on a planet is 18 Newtons. What will be the value of g on that planet?
A) 2 m/s²
B) 18 m/s²
C) 10 m/s²
D) 9 m/s²
ANSWER= D) 9 m/s²
Explain:- weight = mg
18= 2 × g
g= 18÷2
= 9m/s²
Q.8. How much acceleration can 1 gram force(gf) produce on a 1g object?
A) 9.8 m/s²
B) 980 m/s²
C) 4.9 m/s²
D) 98 m/s²
ANSWER= B) 980 m/s²
Explain:-
Q.9. How much acceleration can 1 kilogram force(kgf) produce on a 1kg object?
A) 9.8 m/s²
B) 980 m/s²
C) 4.9 m/s²
D) 98 m/s²
ANSWER= A) 9.8 m/s²
Explain:-
Q.10. 10 kgf force is equal to how many dynes?
A) 980 × 10⁵
B) 9.8 × 10⁵
C) 98 × 10⁵
D) 9 × 10⁵
ANSWER= C) 98 × 10⁵
Explain:- 10 kgf = 10×9.8 N
= 98 N
1 N = 10⁵ dyne
98 N = 98 × 10⁵ dyne
Q. 11. The distance between two objects of mass 2 kg and 5 kg is 0.4 m. What will be the gravitational force between them?
A) 33.7 × 10-¹¹ N
B) 44.7 × 10-¹¹ N
C) 416.8 × 10-¹¹ N
D) 51.7 × 10-¹¹ N
ANSWER= C) 416.8 × 10-¹¹ N
Explain:- F = G( m₁m₂)÷ r²
={ 6.67 ×10-¹¹ ×(2 ×5)÷ (0.4)²}
= 66.7 ×10-¹¹÷ 0.16
= 416.8 × 10-¹¹
Q.12. The mass of an object on Earth is m. What would be the mass of this object on the moon?
A) m
B) m/6
C) m/3
D) 2m
ANSWER= A) m
Explain:- The value of weight changes but the value of mass remains the same everywhere.
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