Question

A bag of sugar weighs 5.00 lb on Earth. What would it weigh in newtons on the Moon, where the free-fall acceleration is one-sixth that on Earth?

_____N

Repeat for Jupiter, where g is 2.64 times that on Earth.
____N

Find the mass of the bag of sugar in kilograms at each of the three locations.

Earth _____Kg

Moon _____Kg

Jupiter ____Kg

Answer 1

Weight = mass x acceleration
Earths acceleration is 9.8 m/s*2
1 kg = 2.2 lbs, so 5.0 lbs x 1 kg/2.2 lbs = 2.27 kg
The bag would have a weight of 9.8 x 2.27 = 22.27 N

1. 22.27 x 1/6 = 3.712N

2. 22.27 x 2.64 = 58.8 N

The mass of the bag at all three locations is 2.27 kg. Mass does not change, the different locations only change its weight.

Answer 2

a) 3.703 N

b) 58.66 N

Mass will be same everywhere as 5lb

Answer 3

Weight = mass x acceleration
Earths acceleration is 9.8 m/s*2
1 kg = 2.2 lbs, so 5.0 lbs x 1 kg/2.2 lbs = 2.28 kg
The bag would have a weight of 9.8 x 2.28 = 22.28 N

1. 22.28 x 1/6 = 3.72 N

2. 22.28 x 2.64 = 58.82 N