The gravitational force between the Sun (mass = 1.99 × 1030 kg) and Mercury (mass = 3.30 × 1023 kg) is 8.99 × 1021 N. How far is
2 answers:
Answer : Distance, d=6.98 × 10⁷ Km
Explanation :
Given that,
Mass of the sun, m₁ = 1.99 × 10³⁰ kg
Mass of Mercury, m₂ = 3.30 × 10²³ kg
Gravitational force between the sun and mercury, F = 8.99 × 10²¹ N
According to Universal law of gravitation,
d is the distance of mercury from the sun
or
So, mercury is far from the sun.
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The correct answer is "As the distance from the earth increases, the gravitational pull on the spaceship would decrease."
In fact, the gravitational force (attractive) exerted by the Earth on the spaceship is given by
where G is the gravitational constant, M the Earth's mass, m the mass of the spaceship and d the distance of the spaceship from the Earth. As we can see from the formula, as the distance d between the spaceship and the Earth increases, the gravitational force F decreases, so answer D) is the correct one.
In fact, the gravitational force (attractive) exerted by the Earth on the spaceship is given by
where G is the gravitational constant, M the Earth's mass, m the mass of the spaceship and d the distance of the spaceship from the Earth. As we can see from the formula, as the distance d between the spaceship and the Earth increases, the gravitational force F decreases, so answer D) is the correct one.