Question

The value of acceleration due to gravity on the Moon is about $ \frac{1}{6} $ that on Earth. If an object weighs 60 N on Earth, its weight on the Moon is:

• A. 10 N
• B. 20 N
• C. 30 N
• D. 60 N

Hint:

Weight depends on gravitational field strength. On the Moon, gravity is \( \frac{1}{6} \)th of Earth’s, so an object weighs only one-sixth of its weight on Earth.

Answer 1

The Correct Option is A

Weight is the force due to gravity, calculated using the formula:
\[ W = mg \] The object's weight on the Moon is less because gravity on the Moon is \( \frac{1}{6} \)th of Earth's gravity.
Step 1: Given weight on Earth = 60 N
This means: \[ W_{\text{Earth}} = mg = 60 \, \text{N} \] Step 2: On the Moon, gravity is reduced to \( \frac{1}{6} \):
\[ W_{\text{Moon}} = \frac{1}{6} \times 60 = 10 \, \text{N} \] So, the object would weigh 10 N on the Moon.