Question

The planet Venus has a mass of 4.87 × 1024 kg and a radius of 6.05 × 106 km. What is the magnitude of the gravitational force that an 81-kg person would experience while standing on the surface of Venus?

Answer 1

Answer:

7.2 x 10⁻⁶N

Explanation:

Given parameters:

Mass of Venus  = 4.87 x 10²⁴kg

Radius  = 6.05 x 10⁶km = 6.05 x 10⁹m

Mass of person  = 81kg

Unknown:

Gravitational force  = ?

Solution:

To solve this problem, we use the Newtons law of universal gravitation:

  Fg  = $\frac{G x mass of venus x mass of person}{radius^{2} }$  

G is the universal gravitation constant  = 6.67 x 10⁻¹¹

 Fg  = $\frac{6.67 x 10^{-11} x 4.87 x 10^{22} x 81 }{(6.05 x 10^9)^{2} } }$

 Fg  =  7.2 x 10⁻⁶N