A particle of mass 2 kg is moving in the direction of positive x-axis. Initial velocity of the particle is 1 m/s. The instantaneous power vs time graph of the particle is shown in the figure. Find the velocity of the particle at 7 seconds.
A particle of mass 2 kg is moving in the direction of positive x-axis. Initial velocity of the particle is 1 m/s. The instantaneous power vs time graph of the particle is shown in the figure. Find the velocity of the particle at 7 seconds.
Option 1 -
5 m/s
Option 2 -
5.5 m/s
Option 3 -
6 m/s
Option 4 -
7 m/s
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1 Answer
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Correct Option - 3
Detailed Solution:ΔW = area under P — t graph
= (1/2) (4 + 6) × 7 = 35 J
Work done = change in KE ⇒ 35 = (1/2) × 2 × v² - (1/2) × 2 × (1)² ⇒ v = 6 m/s
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