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 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

adioabiola adioabiola · Answer 2 · 2021-10-08T12:25:45+02:00

Here, we are required to provide a correct expression for the gravitational field strength of planet X where a ball of mass m is found to have a weight Wx.

A correct expression for the gravitational field strength of planet X is; Wx/m.

The mass of an object, m is a measure of the quantity of matter present in the object. Mass is therefore constant irrespective of location.

However, the weight of an object, W is a measure of the gravitational field strength of the object as quantified by the acceleration due to gravity of that location.

The mathematical relationship between the Weight of an object, it's mass and the gravitational field strength is as follows;

Wx = m × a

Since acceleration due to gravity a, is a measure of the gravitational field strength, an expression that represents the gravitational field strength of planet X is;

a = Wx/m

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