Question

What is the gravitational force between the Sun and Jupiter? The mass of the Sun is 2×1030 kilograms, the mass of Jupiter is 1.9×1027 kilograms, and the distance between them is 7.8×108 kilometers.

a) 1.56×10^27Newtons

b) 2.92×10^24Newtons

c) 3.52×10^23 Newtons

d) 4.98×10^27Newtons

Answer 1

The gravitational force between the Sun and Jupiter is approximately 1.56 x 10^27 Newtons.

Step-by-step explanation:

The gravitational force between the Sun and Jupiter can be calculated using Newton's law of gravitation. The formula for gravitational force is F = G * (m1 * m2) / r^2, where F is the force, G is the gravitational constant, m1 and m2 are the masses of the objects, and r is the distance between them.

Plugging in the given values, we have:
F = (6.67 x 10^-11 N * m^2 / kg^2) * ((2 x 10^30 kg) * (1.9 x 10^27 kg)) / (7.8 x 10^8 km)^2

Simplifying the equation gives us:
F ≈ 1.56 x 10^27 Newtons

Therefore, option (a) 1.56 x 10^27 Newtons is the correct answer.