The weight of an object on each planet is proportional to the force of gravity in that planet’s atmosphere. The force of gravity on planet Earth is approximately 9.81 m/s2 . The force of gravity on Mars is 0.38 m/s2 . If Hill weighs 128 pounds on Earth, how much would he weigh on Mars? Round the answer to the nearest hundredth.

Answer 1

To find Hill's weight on Mars, we need to find the proportionality constant between the force of gravity on Earth and Mars.

Let's denote Hill's weight on Earth as W1 and his weight on Mars as W2.

According to the given information, we can set up the following equation:

W1 / W2 = 9.81 m/s^2 / 0.38 m/s^2

To find W2, we can rewrite the equation as:

W2 = W1 * (0.38 m/s^2 / 9.81 m/s^2)

Substituting in the given weight on Earth:

W2 = 128 pounds * (0.38 m/s^2 / 9.81 m/s^2)

Simplifying the equation:

W2 = 128 pounds * 0.0388

W2 ≈ 4.97 pounds

Therefore, Hill would weigh approximately 4.97 pounds on Mars.