Question:
The acceleration due to gravity on the surface of a planet is one-fourth of the value on earth. When a brass ball is brought to this planet, its
The acceleration due to gravity on the surface of a planet is one-fourth of the value on earth. When a brass ball is brought to this planet, its
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Mass never changes with location, but weight always depends on gravity.
Updated On: May 2, 2026
- mass is halved
- weight is halved
- mass becomes one-fourth
- weight becomes one-fourth
- mass and weight remain the same
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The Correct Option is D
Solution and Explanation
Concept:
Weight of a body is given by:
\[
W = mg
\]
where $m$ is mass and $g$ is acceleration due to gravity.
Important points:
• Mass is an intrinsic property → does not change with location
• Weight depends on gravity → changes with location
Step 1: Given: \[ g' = \frac{g}{4} \]
Step 2: New weight: \[ W' = m g' = m \cdot \frac{g}{4} = \frac{mg}{4} \]
Step 3: Compare: \[ W' = \frac{W}{4} \]
Step 4: Mass remains unchanged. Final Conclusion: Weight becomes one-fourth, mass remains same.
• Mass is an intrinsic property → does not change with location
• Weight depends on gravity → changes with location
Step 1: Given: \[ g' = \frac{g}{4} \]
Step 2: New weight: \[ W' = m g' = m \cdot \frac{g}{4} = \frac{mg}{4} \]
Step 3: Compare: \[ W' = \frac{W}{4} \]
Step 4: Mass remains unchanged. Final Conclusion: Weight becomes one-fourth, mass remains same.
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