A ball of mass m is found to have a weight Wx on Planet X. Which of the following is a correct expression for the gravitational field strength of Planet X?

B . The gravitational field strength of Planet X is Wx/m.

Explanation:

A ball of mass m is found to have a weight Wx on Planet X. Which of the following is a correct expression for the gravitational field strength of Planet X?

A . The gravitational field strength of Planet X is mg.

B . The gravitational field strength of Planet X is Wx/m.

C . The gravitational field strength of Planet X is 9.8  N/kg.

D . The gravitational field strength of Planet X is m.Wx.

Step 1: Given data

Mass of the ball: m

Weight of the ball on Planet X: Wx

Gravitational field strength of Planet X: g

Step 2: Determine which is a correct expression for the gravitational field strength of Planet X

According to Newton's second law, the acceleration (a) of an object is directly related to the net force (F) and inversely related to its mass (m), which is seen in the following expression.

a = F/m

In our case, the net force is represented by the weight of the ball on Planet X and the acceleration is that due to the gravitational field strength of Planet X. The resulting expression is:

g = Wx/m

d. air pressure decreases as altitude increases.