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.
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.
To find out how much Hill would weigh on Mars, we need to use the concept of proportionality.
The weight of an object is proportional to the force of gravity acting on it. We can use the formula:
Weight = mass * acceleration due to gravity
In this case, the weight of Hill on Earth is 128 pounds. To find his weight on Mars, we need to find the mass of Hill first.
To find mass from weight, we can use the formula:
Weight = mass * acceleration due to gravity
Rearranging the formula, we have:
mass = weight / acceleration due to gravity
On Earth, the acceleration due to gravity is approximately 9.81 m/s^2. So, the mass of Hill on Earth would be:
mass on Earth = 128 pounds / 9.81 m/s^2
Now, to find his weight on Mars, we use the same formula. However, the acceleration due to gravity on Mars is 0.38 m/s^2:
Weight on Mars = mass on Earth * acceleration due to gravity on Mars
Weight on Mars = (128 pounds / 9.81 m/s^2) * 0.38 m/s^2
Calculating this value, we can find out Hill's weight on Mars.
To find Hill's weight on Mars, we can use the equation:
Weight on Mars = (Force of gravity on Mars / Force of gravity on Earth) * Weight on Earth
First, let's calculate the weight on Mars:
Weight on Mars = (0.38 m/s^2 / 9.81 m/s^2) * 128 pounds
Weight on Mars = 0.0387 * 128 pounds
Weight on Mars ≈ 4.96 pounds
Therefore, Hill would weigh approximately 4.96 pounds on Mars, rounded to the nearest hundredth.