Practicing Success
Power supplied to a particle of mass 2 kg varies with time as \(P = \frac{3t^2}{2}\) W. Here t is in second. If the velocity of particle at t = 0 is v = 0, the velocity of particle at time t = 2 s will be : |
2\(\sqrt{2}\) m/s 4 m/s 1 m/s 2 m/s |
2 m/s |
From Work-Energy Theorem : \(W_{net} = \Delta KE = K_f - K_i\) \(W_{net} = \int P dt\) \(\Rightarrow \frac{1}{2}mv^2 - 0 = \int_0^2 (\frac{3}{2}t^2)dt\) \(\Rightarrow v^2 = |\frac{t^3}{2}|^2_0\) \(\Rightarrow v = 2 \text{ m/s}\) |