Question

Objects with masses of 165 kg and 465 kg are separated by 0.490 m. What is the gravitational force between them?

a) 2.09 x 10⁻⁹ N
b) 4.18 x 10⁻⁹ N
c) 8.36 x 10⁻⁹ N
d) 1.67 x 10⁻⁹ N

Answer 1

The gravitational force between two objects with masses of 165 kg and 465 kg separated by 0.490 m is 4.18 x 10⁻⁹ N.

Step-by-step explanation:

To calculate the gravitational force between two objects, we can use Newton's Law of Universal Gravitation which states that the force is directly proportional to the product of the masses and inversely proportional to the square of the distance between them.

Using the formula F = G * (m1 * m2) / r^2, where G is the gravitational constant (6.67 × 10-¹¹ Nm²/kg²), m1 and m2 are the masses of the objects, and r is the distance between them.

Plugging in the given values, the formula becomes: F = (6.67 × 10-¹¹ Nm²/kg²) * ((165 kg) * (465 kg)) / (0.490 m)^2 = 4.18 × 10⁻⁹ N.