Question

A bag of sugar weighs 3.50 lb on Earth. What would it weigh in newtons on the Moon, where the free-fall acceleration isone-sixth that on Earth? N Repeat for Uranus, where g is 1.09 times that on Earth. N Find the mass of the bag of sugar in kilograms at each of the three locations.Earth kgMoon kgUranus kg

Answer 1

`F_(Earth)`= 15.57 N

`F_(Moon)`= 2.60 N

`F_(Uranus)`= 16.98 N

The mass of the bag is the same on the three planets. m=1.59 kg

Step-by-step explanation:

The weight of the sugar bag on Earth is:

g=9.81 m/s²

m=3.50 lb=1.59 kg

`F_(Earth)`=m·g=1.59 kg×9.81 m/s²= 15.57 N

The weight of the sugar bag on the Moon is:

g=9.81 m/s²÷6= 1.635 m/s²

`F_(Moon)`=m·g=1.59 kg× 1.635 m/s²= 2.60 N

The weight of the sugar bag on the Uranus is:

g=9.81 m/s²×1.09=10.69 m/s²

`F_(Uranus)`=m·g=1.59 kg×10.69 m/s²= 16.98 N

The mass of the bag is the same on the three planets. m=1.59 kg