Question

the magnitude of the gravitational force between two objects is proportional to each object’s mass. suppose an elephant has a mass of 1,800 kg and a person has a mass of 75 kg. if the strength of the gravitational force on the person from the earth is 735 n, what is the gravitational force on the elephant from the earth? 183.7 n 17,640 n 0.03265 n 30.63 n

Explanation:

Step1: Find the gravitational field strength (g)

The gravitational force \( F = mg \), so \( g=\frac{F}{m} \). For the person, \( F = 735\ N \), \( m = 75\ kg \).
\( g=\frac{735}{75}=9.8\ m/s^2 \)

Step2: Calculate the force on the elephant

Using \( F = mg \) for the elephant, \( m = 1800\ kg \), \( g = 9.8\ m/s^2 \).
\( F = 1800\times9.8 = 17640\ N \)

Answer:

17,640 N