Question

A probe orbiting Venus exerts a gravitational force of 2.58 × 103 N on Venus. Venus has a mass of 4.87 × 1024 kg. The mass of the probe is 655 kilograms. The gravitational constant is 6.67 × 10-11 N*m2/kg2.

To three significant digits, the probe is × 106 m from the center of Venus.

Answer 1

The law of universal gravitation says

F = G m₁ m₂ / r ²

Plug everything in and solve for r :

2.58 × 10³ N = (6.67 × 10⁻¹¹ N•m²/kg²) (4.87 × 10²⁴ kg) (655 kg) / r ²

r = √[ ((6.67 × 10⁻¹¹ N•m²/kg²) (4.87 × 10²⁴ kg) (655 kg)) / (2.58 × 10³ N) ]

r ≈ 9.08 × 10⁶ m

Answer 2

9.08

Step-by-step explanation:

Correct on e2020