Question:
An object is moving in a circle at constant speed \(v\). The magnitude of the rate of change of momentum of the object is:
An object is moving in a circle at constant speed \(v\). The magnitude of the rate of change of momentum of the object is:
Show Hint
Uniform circular motion \(\Rightarrow\) centripetal force \( \propto v^2 \).
Updated On: Apr 16, 2026
- zero
- proportional to \(v^2\)
- proportional to \(v^3\)
- proportional to \(v\)
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Verified By Collegedunia
The Correct Option is B
Solution and Explanation
Concept:
Rate of change of momentum = force.
\[
F = \frac{dp}{dt}
\]
Step 1: Centripetal force.
\[ F = \frac{mv^2}{r} \]
Step 2: Relation.
\[ \frac{dp}{dt} \propto v^2 \]
Step 1: Centripetal force.
\[ F = \frac{mv^2}{r} \]
Step 2: Relation.
\[ \frac{dp}{dt} \propto v^2 \]
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