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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 :

valenbraca

Answer:

[tex]F_{Earth}[/tex]= 15.57 N

[tex]F_{Moon}[/tex]= 2.60 N

[tex]F_{Uranus}[/tex]= 16.98 N

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

Explanation:

The weight of the sugar bag on Earth is:

g=9.81 m/s²

m=3.50 lb=1.59 kg

[tex]F_{Earth}[/tex]=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

[tex]F_{Moon}[/tex]=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

[tex]F_{Uranus}[/tex]=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

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