Question

Transcribed image text:

A gas occupying a volume of 31ft³
and weights 5.06bbf on the moon, where the acceleration of gravity is 5.43ft/s²
. Determine the weight of the gas in lbf, on Mars, where g=12.78ft/s²
.

Answer 1

To determine the weight of the gas on Mars, we can use the formula Weight = mass * acceleration of gravity. Given the weight of the gas on the moon, we can convert it to pounds-force and solve for the mass of the gas. Then, using the mass and the acceleration of gravity on Mars, we can calculate the weight of the gas on Mars.

Step-by-step explanation:

To determine the weight of the gas on Mars, we need to use the formula:

Weight = mass * acceleration of gravity

First, we need to find the mass of the gas. Since the weight of the gas on the moon is given as 5.06 bbf (billions of pounds-force), we can convert it to pounds-force by multiplying it by 10^9. This gives us a weight of 5.06 x 10^9 lbf on the moon.

Next, we can use the formula for weight to find the mass of the gas:

5.06 x 10^9 lbf = mass * acceleration of gravity on the moon (5.43 ft/s^2)

Solving for mass, we find:

Mass = 5.06 x 10^9 lbf / 5.43 ft/s^2 = 9.32 x 10^8 slugs

Finally, we can use the mass of the gas and the acceleration of gravity on Mars (12.78 ft/s^2) to find the weight of the gas on Mars:

Weight on Mars = mass * acceleration of gravity on Mars = 9.32 x 10^8 slugs * 12.78 ft/s^2 = 1.19 x 10^10 lbf