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 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.
To find out how much Hill would weigh on Mars, we need to use the proportionality between the force of gravity on each planet and the weight of an object.
We know that the weight of an object is proportional to the force of gravity. So, we can set up a proportion:
Weight on Earth / Force of gravity on Earth = Weight on Mars / Force of gravity on Mars
Let's assign variables to each value:
Weight on Earth = 128 pounds
Force of gravity on Earth = 9.81 m/s^2
Weight on Mars = ?
Force of gravity on Mars = 0.38 m/s^2
Plugging in the values, we get:
128 / 9.81 = Weight on Mars / 0.38
Now we can solve for the weight on Mars by cross-multiplying and then dividing:
(128 * 0.38) / 9.81 = Weight on Mars
Calculating this expression, we find:
(48.64) / 9.81 = Weight on Mars
Weight on Mars ≈ 4.97 (rounded to the nearest hundredth)
Therefore, Hill would weigh approximately 4.97 pounds on Mars.
To find out how much Hill would weigh on Mars, we can use the concept of proportionality between the force of gravity on each planet and the weight of the object.
Let's assume the weight of Hill on Mars is "W" pounds.
According to the given information, the weight of an object is directly proportional to the force of gravity on the planet. Therefore, we can set up the following proportion:
Force of gravity on Earth / Force of gravity on Mars = Weight on Earth / Weight on Mars
Substituting the given values, we get:
9.81 m/s^2 / 0.38 m/s^2 = 128 lbs / W lbs
Cross-multiplying the proportion, we have:
9.81 m/s^2 * W lbs = 0.38 m/s^2 * 128 lbs
Simplifying the equation, we find:
W lbs = (0.38 m/s^2 * 128 lbs) / 9.81 m/s^2
Calculating the value, we get:
W lbs = 4.952785 pounds
Therefore, Hill would weigh approximately 4.95 pounds on Mars (rounded to the nearest hundredth).