Ask Question
29 September, 17:39

Assume that you stay on the earth's surface. what is the ratio of the sun's gravitational force on you to the earth's gravitational force on you?

+5
Answers (1)
  1. 29 September, 20:29
    0
    First, let's determine the gravitational force of the Earth exerted on you. Suppose your weight is about 60 kg.

    F = Gm₁m₂/d²

    where

    m₁ = 5.972*10²⁴ kg (mass of earth)

    m₂ = 60 kg

    d = 6,371,000 m (radius of Earth)

    G = 6.67408 * 10⁻¹¹ m³ kg⁻¹ s⁻²

    F = (6.67408 * 10⁻¹¹ m³ kg⁻¹ s⁻²) (60 kg) (5.972*10²⁴ kg) / (6,371,000 m) ²

    F = 589.18 N

    Next, we find the gravitational force exerted by the Sun by replacing,

    m₁ = 1.989 * 10³⁰ kg

    Distance between centers of sun and earth = 149.6 * 10⁹ m

    Thus,

    d = 149.6*10⁹ m - 6,371,000 m = 1.496*10¹¹ m

    Thus,

    F = (6.67408 * 10⁻¹¹ m³ kg⁻¹ s⁻²) (60 kg) (1.989 * 10³⁰ kg) / (1.496*10¹¹ m) ²

    F = 0.356 N

    Ratio = 0.356 N/589.18 N

    Ratio = 6.04
Know the Answer?
Not Sure About the Answer?
Find an answer to your question ✅ “Assume that you stay on the earth's surface. what is the ratio of the sun's gravitational force on you to the earth's gravitational force ...” in 📘 Physics if you're in doubt about the correctness of the answers or there's no answer, then try to use the smart search and find answers to the similar questions.
Search for Other Answers