Compared to its weight on Earth, a 32.5-kg object on the Moon (gravity on moon = 1.63m/s2) will weigh

Question

BlackTom AI · Accepted Answer

Rephrase of the problem: You have a mass of 32.5 kg. On the Moon, the acceleration due to gravity is 1.63 m/s^2. We want the weight of this mass on the Moon.

Step 1: Recall the relation between weight, mass, and gravitational acceleration: Weight W = m * g.

Step 2: Identify the given values: m = 32.5 kg and gMoon = 1.63 m/s^2.

Step 3: Substitute into the formula: WMoon = 32.5 kg * 1.63 m/s^2.

Step 4: Perform the multiplication: 32.5 * 1.63 = 52.975.

Step 5: Report with appropriate significant figures: The result is 52.975 N, which can be rounded to 52.98 N for simplicity.

Additional note: This calculation demonstrates that weight on a given planet depends on the local gravitational acceleration, while the mass remains the same. If you were to compare to Earth, you would multiply the same mass by Earth’s gravity (about 9.81 m/s^2) to obtain Earth weight, which would be around 319 N for this mass. The Moon’s weaker gravity yields a proportionally smaller weight.

Compared to its weight on Earth, a 32.5-kg object on the Moon (gravity on moon = 1.63m/s2) will weigh

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