Question:
The area under the curve drawn between the force \(F\) and time \(t\) is
The area under the curve drawn between the force \(F\) and time \(t\) is
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The area under an F-x graph gives work done. The area under an F-t graph gives impulse.
Updated On: Apr 24, 2026
- torque
- impulse
- work done
- power
- kinetic energy
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The Correct Option is B
Solution and Explanation
Step 1: Understanding the Concept:
The area under a force-time graph gives a fundamental physical quantity related to momentum.
Step 2: Detailed Explanation:
Impulse is defined as the product of force and the time interval over which it acts (\(J = F \cdot \Delta t\)). For a variable force, impulse is the integral of force with respect to time (\(J = \int F \, dt\)). This integral is exactly the area under the force-time curve. Impulse is also equal to the change in momentum of the body (\(\Delta p\)).
Step 3: Final Answer:
The area under the F-t curve gives impulse.
The area under a force-time graph gives a fundamental physical quantity related to momentum.
Step 2: Detailed Explanation:
Impulse is defined as the product of force and the time interval over which it acts (\(J = F \cdot \Delta t\)). For a variable force, impulse is the integral of force with respect to time (\(J = \int F \, dt\)). This integral is exactly the area under the force-time curve. Impulse is also equal to the change in momentum of the body (\(\Delta p\)).
Step 3: Final Answer:
The area under the F-t curve gives impulse.
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