Practicing Success
A particle of mass m is driven by a machine that delivers a constant power k watts. If the particle starts from rest the force on the particle at time t is : |
\(\sqrt{\frac{mk}{t}}\) \(\sqrt{\frac{2mk}{t}}\) \(\frac{1}{2}\sqrt{\frac{mk}{t}}\) \(\sqrt{\frac{mk}{2t}}\) |
\(\sqrt{\frac{mk}{2t}}\) |
P = Fv = v.ma K = mv \(\frac{dv}{dt}\) On integrating : v = \(\sqrt{\frac{2kt}{m}}\) a = \(\frac{dv}{dt}\) = \(\sqrt{\frac{2kt}{m}} \frac{1}{2\sqrt{t}}\) F = \(\sqrt{\frac{mk}{2t}}\) |