Power applied to a particle varies with time as P=(3t^2-2t+1) watt, where t is in second. What is the change in its kinetic energy (in joule) between…

Question

Power applied to a particle varies with time as P=(3t^2-2t+1) watt, where t is in second. What is the change in its kinetic energy (in joule) between t=2 s and t=4 s?

MARKS Content Team · Accepted Answer

Correct answer: 46. P=3t^2-2t+1=dE/dt ∴ dE=(3t^2-2t+1)dt E=∫t=2st=4s(3t^2-2t+1)dt =(3t^3)/3-(2t^2)/2+tt=2st=4s =[4^3-2^3-4^2-2^2+(4-2)] E=56-12+2=46 J

Power applied to a particle varies with time as $P = (3 t^{2} - 2 t + 1)$ watt, where $t$ is in second. What is the change in its kinetic energy (in joule) between $t = 2 s$ and $t = 4 s$ ?

Solution

More Work Power Energy Questions

Power applied to a particle varies with time as P=(3t2-2t+1) watt, where t is in second. What is the change in its kinetic energy (in joule) between t=2 s and t=4 s?

Solution

More Work Power Energy Questions

Power applied to a particle varies with time as $P = (3 t^{2} - 2 t + 1)$ watt, where $t$ is in second. What is the change in its kinetic energy (in joule) between $t = 2 s$ and $t = 4 s$ ?