Question

Estimate the gravitational force between two sumo wrestlers, with masses 220 kg and 240 kg, when they are embraced and their centers are 1.2 m apart.

a) 2.13×10^-7 N
b) 2.13 N
c) 2.13×10^-6 N
d) 2.13×10^6 N

Answer 1

The gravitational force between two sumo wrestlers can be estimated using Newton's law of universal gravitation. When the masses of the sumo wrestlers and the distance between their centers are known, the gravitational force can be calculated using the formula F = G * (m1 * m2) / d^2. In this case, the estimated gravitational force is 2.13 × 10^-6 N.

Step-by-step explanation:

To estimate the gravitational force between two sumo wrestlers, we can use Newton's law of universal gravitation. The formula is:

F = G * (m1 * m2) / d^2

where F is the gravitational force, G is the gravitational constant (6.674 × 10^-11 N·m² kg^2), m1 and m2 are the masses of the sumo wrestlers, and d is the distance between their centers.

Plugging the values into the formula, we get:

F = (6.674 × 10^-11 N·m² kg^2) * (220 kg * 240 kg) / (1.2 m)^2 = 2.13 × 10^-6 N

Therefore, the estimated gravitational force between the two sumo wrestlers is 2.13 × 10^-6 N.