Question

The sun exerts a force of attraction of 3.5×10²²N on Earth. Calculate the acceleration this produces assuming Earth's mass is 6×10²⁴kg.

A) 5.83×10⁻³m/s²
B) 5.83×10³ m/s²
C) 5.83×10⁻⁴m/s²
D) 5.83×10⁴m/s²

Answer 1

The acceleration produced by the Sun's attraction on Earth is calculated using Newton's second law of motion by dividing the force by Earth's mass, yielding an acceleration of 5.83×10⁻³m/s², which corresponds to Option A.

Step-by-step explanation:

To calculate the acceleration produced by the Sun's force of attraction on Earth, we can use Newton's second law of motion, which states that force equals mass times acceleration (F = ma). Given the force (F) is 3.5×10²²N and Earth's mass (m) is 6×10²´kg, we can rearrange the equation to solve for acceleration (a = F/m).

Using the given values:

a = 3.5×10²²N / 6×10²´kg

a = 5.83×10⁻³m/s²

Thus, the correct answer is Option A, which is 5.83×10⁻³m/s².