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 out how much Hill would weigh on Mars, we need to use the proportionality between weight and force of gravity.

Let's set up the proportion and solve for the weight on Mars:

Weight on Earth / Force of gravity on Earth = Weight on Mars / Force of gravity on Mars

128 pounds / 9.81 m/s^2 = Weight on Mars / 0.38 m/s^2

Cross multiplying, we get:

128 pounds * 0.38 m/s^2 = Weight on Mars * 9.81 m/s^2

48.64 = Weight on Mars * 9.81

Dividing both sides of the equation by 9.81, we find:

Weight on Mars = 48.64 / 9.81

Weight on Mars = 4.96 pounds (rounded to the nearest hundredth)

Therefore, Hill would weigh approximately 4.96 pounds on Mars.