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 weight ratio between Mars and Earth.
The weight ratio is given by:
weight_ratio = gravity_mars / gravity_earth
Substituting the given values, we have:
weight_ratio = 0.38 m/s^2 / 9.81 m/s^2
weight_ratio ≈ 0.0387
To find Hill's weight on Mars, we multiply his weight on Earth by the weight ratio:
weight_mars = 128 pounds * 0.0387
weight_mars ≈ 4.96 pounds
Therefore, Hill would weigh approximately 4.96 pounds on Mars.
To find out how much Hill would weigh on Mars, we need to determine the weight ratio between Earth and Mars.
The weight of an object is given by the equation:
Weight = Mass × Acceleration due to gravity
Since we're comparing the weights on Earth and Mars, we can write:
Weight on Earth = Mass × Acceleration due to gravity on Earth
Weight on Mars = Mass × Acceleration due to gravity on Mars
We know that Hill weighs 128 pounds on Earth, and the acceleration due to gravity on Earth is 9.81 m/s^2.
Weight on Earth = 128 pounds × 9.81 m/s^2
To find the weight on Mars, we need to find the mass. We can use the weight equation to solve for the mass:
Weight = Mass × Acceleration due to gravity
128 pounds × 9.81 m/s^2 = Mass × 9.81 m/s^2
Mass = (128 pounds × 9.81 m/s^2) / 9.81 m/s^2
Mass = 128 pounds
Now we can calculate the weight on Mars using the weight equation:
Weight on Mars = 128 pounds × 0.38 m/s^2
Weight on Mars = 48.64 pounds
Therefore, Hill would weigh approximately 48.64 pounds on Mars.
To calculate Hill's weight on Mars, we need to use the proportionality between the force of gravity on each planet and the weight of the object.
The weight of an object can be calculated using the formula:
Weight = mass × acceleration due to gravity
Given that the acceleration due to gravity on Earth is 9.81 m/s² and Hill weighs 128 pounds on Earth, we can determine his mass on Earth:
Weight on Earth = mass × 9.81 m/s²
128 pounds = mass × 9.81 m/s²
To solve for the mass, we divide both sides of the equation by 9.81:
mass = 128 pounds / 9.81 m/s²
Now, we have the mass of Hill on Earth. To find his weight on Mars, we use the fact that the force of gravity on Mars is 0.38 m/s²:
Weight on Mars = mass × 0.38 m/s²
Substituting the calculated mass into the equation, we can now find his weight on Mars:
Weight on Mars = (128 pounds / 9.81 m/s²) × 0.38 m/s²
Calculating this expression will give us Hill's weight on Mars. Rounding the answer to the nearest hundredth will provide us with the final result.