Question

having problems staying logged in or are you experiencing issues? please visit our troubleshooting section for solutions. consider the three statements. two are true. one is false. select the false statement. tap a statement to select or deselect. tap the check answer button when ready. #1 more massive objects experience a greater force of gravity than less massive objects. #2 an object weighs differently on the moon as it does on earth because its mass varies with location. #3 the weight of an object is equal to its mass multiplied by the acceleration of gravity.

Explanation:

Step1: Analyze statement #1

According to the formula \(F = mg\) (where \(F\) is the gravitational force, \(m\) is mass, and \(g\) is the acceleration due to gravity), when \(g\) is constant (on the same planet or celestial body), if \(m_1>m_2\), then \(F_1 = m_1g>m_2g=F_2\). So, more massive objects experience a greater force of gravity than less - massive objects. This statement is true.

Step2: Analyze statement #2

Mass is a measure of the amount of matter in an object and is constant (\(m\) does not change with location). Weight \(W=mg\). On the moon, \(g_{moon}\approx\frac{1}{6}g_{earth}\). So, \(W_{moon}=m\times g_{moon}\) and \(W_{earth}=m\times g_{earth}\), and \(W_{moon}
eq W_{earth}\) because \(g\) changes, not because \(m\) changes. This statement is false.

Step3: Analyze statement #3

The formula for weight is \(W = mg\), where \(W\) is weight, \(m\) is mass, and \(g\) is the acceleration of gravity. So, the weight of an object is equal to its mass multiplied by the acceleration of gravity. This statement is true.

Answer:

Statement #2 is false.