Question

The mass of the Sun is 2 × 1030 kg, and the mass of Jupiter is 1.9 × 1027 kg. The distance from the Sun to Jupiter is 7.8 × 1011 m. Collapse question part Part 1 (a) Calculate the magnitude of the gravitational force exerted by the Sun on Jupiter. N the tolerance is +/-2%

Answer 1

The answer to your question is F = 4.17 x 10²³ N

Step-by-step explanation:

Data

mass of the Sun = 2 x 10³⁰ kg

mass of Jupiter 1.9 x 10²⁷ kg

distance = 7.8 x 10¹¹ m

F = ? N

G = 6.67 x 10⁻¹¹ Nm²/kg²

Formula

F = G
`(m1 x m2)/(r^(2))`

Substitution

F = (6.67 x 10⁻¹¹)
`((2 x 10^(30)1.9x 10^(27)))/((7.8 x 10^(11))^(2))`

Simplification

F = 6.67x 10⁻¹¹
`(3.8 x 10^(57))/(6.084 x 10x^(23))`

F = 6.67 x 10⁻¹¹ (6.245 x 10³³)

Result

F = 4.17 x 10²³ N