Question

gravitational force: what is the gravitational force acting on a 59-kg person due to another 59-kg person standing 2.0 m away? we can model each person as a small sphere. (g = 6.67 × 10^-11 n ∙ m²/kg6²)

Answer 1

The gravitational force between two 59-kg people standing 2.0 meters apart can be calculated using Newton's universal law of gravitation, which gives an approximate force of 5.78 × 10⁻⁸ newtons.

Step-by-step explanation:

The question is asking to calculate the gravitational force acting on a 59-kg person due to another 59-kg person standing 2.0 meters away. According to Newton's universal law of gravitation, the force of gravity between two masses is given by the equation:

F = G(m1*m2)/r²

where F is the force of gravitational attraction, G is the universal gravitational constant, m1 and m2 are the masses, and r is the distance between the centers of the two masses. By substituting the given values, we have:

F = (6.67 × 10⁻¹¹ N·m²/kg²) * (59 kg * 59 kg) / (2.0 m)²

Therefore, the gravitational force between the two persons is calculated as follows:

F = (6.67 × 10⁻¹¹ N·m²/kg²) * (3481 kg²) / 4.0 m²

F ≈ (6.67 × 10⁻¹¹) * (3481 / 4)

F ≈ 5.78 × 10⁻⁸ N

Therefore, the gravitational force between the two persons is approximately 5.78 × 10⁻⁸ newtons.

Answer 2

The gravitational force between two 59-kg people standing 2.0 m apart is calculated using Newton's universal law of gravitation, resulting in a force of 5.857 × 10-9 N.

Step-by-step explanation:

To calculate the gravitational force between two 59-kg people standing 2.0 m apart, we can use Newton's universal law of gravitation. The formula is F = Gm1m2/r2, where F is the gravitational force, G is the gravitational constant (6.674 × 10-11 N·m2/kg2), m1 and m2 are the masses of the two objects, and r is the distance between their centers.

For two 59-kg people, the force is calculated as follows:

F = (6.674 × 10-11 N·m2/kg2)(59 kg)(59 kg) / (2.0 m)2

Thus, the gravitational force between them is F = 5.857 × 10-9 N.