High School

An object’s mass is 165 kg on Earth. What is the object’s mass on the Moon (in kilograms) if the gravity of the Moon is [tex]1.6 \, \text{m/s}^2[/tex]?

Answer :

An object’s mass on the moon if the gravity of the moon is 1.6 m/s2 given that the object’s mass on earth is 165 kg can be found using the following formula:

$$m_{moon}=\frac{w_{moon}}{g_{moon}}$$ Where, $m_{moon}$ is the object's mass on the moon, $w_{moon}$ is the weight of the object on the moon and $g_{moon}$ is the acceleration due to gravity on the moon.

Substituting the values given in the question: $$m_{moon}=\frac{w_{moon}}{g_{moon}}=\frac{165 \ kg}{1.6 \ m/s^2}$$

Therefore, the object's mass on the moon is $$\frac{165 \ kg}{1.6 \ m/s^2} = 103.125 \ kg$$

Hence, the object's mass on the moon is 103.125 kg.

Object's Mass on the Moon : The moon's gravity is one sixth that of Earth. Therefore, you could subtract 83.5 percent if you stepped on a scale on the moon. That means, for instance, that 100 kilograms would equal 16.5 kilograms on the moon.

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