A tank of oil has a mass of 25 slugs. (a) Determine its weight in pounds and in newtons at the Earth's surface. (b) What would be its mass (in slugs) and its weight (in pounds) if located on the moon's surface where the gravitational at raction is approximately one-sixth that at the Earth's surface?

Short Answer

Expert verified
The weight of the oil tank on Earth is 805 lb or 3580 N. Its weight on the Moon would be 134.25 lb, and its mass, on both the Earth and the Moon, is 25 slugs.

Step by step solution

01

Calculate weight on Earth

First, calculate the weight of the oil tank on Earth. The formula to calculate weight is \( W = m × g \) where \( m \) is the mass and \( g \) is the gravitational constant. On Earth, \( g = 32.2 ft/s² \). So, \( W = 25 slugs × 32.2 ft/s² = 805 lb \).
02

Convert pounds to newtons

To convert pounds to newtons, use the conversion factor \( 1 lb = 4.44822 N \). So, \( 805 lb = 805 × 4.44822 N = 3580 N \). That's the weight of the oil tank on Earth in newtons.
03

Calculate mass on the Moon

The mass of the object doesn't change, irrespective of its location. So, the mass of the oil tank on the Moon remains the same as Earth, which is 25 slugs.
04

Calculate weight on the Moon

The gravitational constant on the Moon is approximately one-sixth of that on Earth, i.e., \( g_{moon} = 32.2 ft/s²/6 = 5.37 ft/s² \). So the weight of the oil tank on the Moon would be \( W_{moon} = m × g_{moon} = 25 slugs × 5.37 ft/s² = 134.25 lb \)

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