Answered

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A bag of sugar weighs 3.00 lbs on earth. what would it weigh in newtons on the moon, where free-fall acceleration is one-sixth that on earth.

repeat for venus, where g is 0.904 times the earth.

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

earth=?

moon=?

venus=?

Sagot :

onyebuchinnaji

The weight of the bag of sugar in Newton on Earth is 13.34 N.

The weight of the bag of sugar in Newton on moon is 2.22 N.

The weight of the bag of sugar in Newton on Venus is 12.1 N

The mass of the bag of sugar is the same on the three locations and the value is 1.36 kg.

The given parameters;

  • weight of the sugar, w = 3 lb = 1.36 kg
  • acceleration due to gravity on moon, g₁ = ¹/₆ x 9.81 = 1.635 m/s²
  • acceleration due to gravity on venus, g₂ = 0.904 x 9.81 = 8.868 m/s²

The weight of the bag of sugar in Newton on Earth is calculated as follows;

W = mg

W = 1.36 x 9.81 = 13.34 N

The weight of the bag of sugar in Newton on moon is calculated as follows;

W = 1.36 x 1.635

W = 2.22 N

The weight of the bag of sugar in Newton on Venus is calculated as follows;

W = 1.36 x 8.868

W = 12.1 N

The mass of the bag of sugar is the same on the three locations.

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