# How many newtons does a 3.8 kg backpack weigh on Earth and on the moon? The newton (N) is the unit of force in the SI system.  Weight is considered a force because it is the product of an object's mass and the value for the acceleration of gravity acting on the object.

Mass is the amount of matter in an object and does not...

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The newton (N) is the unit of force in the SI system.  Weight is considered a force because it is the product of an object's mass and the value for the acceleration of gravity acting on the object.

Mass is the amount of matter in an object and does not change with location.  Therefore, the mass of the backpack will be 3.8 kg on earth and on the moon.

Because the moon is smaller and lighter than earth, its gravity is also weaker.

On earth the acceleration of gravity is 9.8 m/s/s while on the moon the acceleration of gravity is 1.6 m/s/s.

Using the formula for weight: F = mg and substituting the above values you will get:

F = 3.8 x 9.8 = 37.24 N for the weight on earth

F = 3.8 x 1.6 = 6.08 N for the weight on the moon.

Approved by eNotes Editorial Team A Newton is mass x acceleration. The units of a newton are kg x m /s^2. The acceleration due to gravity on the earth is 9.8 m/s^2. The acceleration due to gravity on the moon is 1.6 m/s^2. The mass of the backpack does not change based on location; so it is always 3.8 kg.

1) 3.8 kg x 9.8 m/s^2 = 37.24 N

2) 3.8 kg x 1.6 m/s^2 = 6.08 N

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