Question

If two cars are 5 m apart, and one car has a mass of 2,565 kg and the other car has a mass of 4,264 kg, what is the gravitational force between the two cars? Newton's law of gravitation is F = G * (m1 * m2) / r^2. The gravitational constant G is 6.67 * 10^-11 Nm²/kg.

a) 4.37 x 10^5 N
b) 5.84 x 10^-6 N
c) 1.46 x 10^-4 N
d) 2.92 x 10^-5 N.

Answer 1

The gravitational force between the two cars is approximately 4.37 × 10^5 N.

Step-by-step explanation:

To find the gravitational force between the two cars, we can use Newton's law of gravitation: F = G * (m1 * m2) / r^2. Given that the gravitational constant G is 6.67 × 10^-11 Nm²/kg², the masses of the two cars are 2,565 kg and 4,264 kg, and they are 5 m apart, we can substitute these values into the formula:

F = (6.67 × 10^-11 Nm²/kg²) * (2,565 kg) * (4,264 kg) / (5 m)^2

Calculating this, we find that the gravitational force between the two cars is approximately 4.37 × 10^5 N. Therefore, the correct answer is option a) 4.37 × 10^5 N.