15 Questions MCQ Test Science Class 9 - Test: Universal Law Of Gravitation
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Detailed Solution for Test: Universal Law Of Gravitation - Question 3
By the universal law of Gravitation Force is directly proportional to the product of their masses and Force is inversely proportional to the square of their distances. .Then, we also know that weight is also a form of force.A the distance of the pole is least from the center of the earth.So, the force of attraction is highest on the body at poles . Hence ,the weight of a body is highest.
Apple falls towards the earth but the earth does not move towards the apple because
Detailed Solution for Test: Universal Law Of Gravitation - Question 4
Apple falls towards the earth, but the earth does not move towards the apple because acceleration is inversely proportional to mass. Earth’s mass being extremely large as compared to apple, it has negligible acceleration towards the apple.
The mass of a body on earth is 60 kg, its mass on moon is
Detailed Solution for Test: Universal Law Of Gravitation - Question 9
A mass of 60kg on Earth will exert a downwards force (its 'weight') of 60 x 9.8 = 588N. A mass of 60kg on the Moon will still be 60Kg as mass is independent of gravity, but will 'weigh' about 60 x 1.3 = 78N. The Moon's gravity (its gravitational constant) is about 1/6th that of the Earth's.
The value of acceleration due to gravity at the poles
Detailed Solution for Test: Universal Law Of Gravitation - Question 10
In combination, the equatorial bulge and the effects of the surface centrifugal force due to rotation mean that sea-level effective gravity increases from about 9.780 m/s2 at the Equator to about 9.832 m/s2 at the poles, so an object will weigh about 0.5% more at the poles than at the Equator.
The force of gravitation between two bodies varies with r as:
Detailed Solution for Test: Universal Law Of Gravitation - Question 11
Gravitational force = Gm₁m₂ / r²
Where m₁ and m₂ are the masses of the two bodies,
We observe that m₁ , m₂ & G (gravitational constant) are constant
⇒ Gravitational force is inversely proportional to square of the distance between two bodies,
i.e, G ά 1/r²
If the mass of earth is increased by 25% without any change in its size. Then, its acceleration due to gravity:
Detailed Solution for Test: Universal Law Of Gravitation - Question 13
The acceleration due to gravity on earth is given by g = GM/R2
From the above equation, we observe that acceleration is directly proportional to the mass of the earth. So, if the mass of the earth is increased by 25 % and R is kept constant, the value of g will also increase by 25%.
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