Question

1. a woman has a mass of 55 kg on earth.

a. what is the womans mass on the moon?
b. what would be the womans weight on the moon where the acceleration due to gravity is 1.67 m/s²? calculate the weight in both newtons and pounds.

Explanation:

Step1: Recall the property of mass

Mass is an intrinsic property of an object and does not change with location. So, the woman's mass on the moon is the same as on Earth.

Step2: Calculate weight on the moon (in Newtons)

Use the formula \(W = mg\), where \(m = 55\space kg\) and \(g = 1.67\space m/s^{2}\).

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Step3: Convert weight from Newtons to pounds

Use the conversion factor \(1\space N=0.2248\space lb\).

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Answer:

a. The woman's mass on the moon is \(55\space kg\).
b. The woman's weight on the moon is \(91.85\space N\) or approximately \(20.65\space lb\).