Question

in this section you will calculate the force of gravity for other situations, such as calculating the force of gravity on other planets, or the force between two celestial objects like the earth and the moon, or between the earth and the sun.

1. here are some data that will be useful:

• masssun = 2.0 × 10³⁰ kg
• massearth = 6.0 × 10²⁴ kg
• radiusearth = 6.4 × 10⁶ m
• orbital radiusearth = 1.5 × 10¹¹ m
• g = 6.67 × 10⁻¹¹ nm²/kg²

calculate the gravitational force that the sun exerts on the earth.
how do i use the orbital radius?

Explanation:

Step1: Recall the formula for gravitational force

The formula for gravitational force is \( F = G\frac{M_1M_2}{r^2} \), where \( G = 6.67\times10^{-11}\frac{Nm^2}{kg^2} \), \( M_1 \) and \( M_2 \) are the masses of the two objects, and \( r \) is the distance between them.

Step2: Identify the values

Here, \( M_{Sun}=2.0\times 10^{30}\text{ kg} \), \( M_{Earth}=6.0\times 10^{24}\text{ kg} \), \( r = 1.5\times 10^{11}\text{ m} \), and \( G = 6.67\times 10^{-11}\frac{Nm^2}{kg^2} \).

Step3: Substitute the values into the formula

$$
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$$

Answer:

The gravitational force that the Sun exerts on the Earth is approximately \( 3.56\times 10^{22}\text{ N} \).