Home
Class 12
PHYSICS
Power applied to a particle varies with ...

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

Text Solution

Verified by Experts

The correct Answer is:
46
`P=3t^(2) -2t +1 =(dE)/(dt)`
`:.dE=(3t^(2)-2t +1)dt`
`E= int_(t=2s)^(t=4s) (3t^(2) -2t +1)dt`
`=[(3t^(3))/(3)-(2t^(2))/(2)+t]_(t=2s)^(t=4s)`
`=[(4^(3) -2^(3))-(4^(2)-2^(2)) +(4-2)]`
`E=56-12+2=46J`
Promotional Banner

Topper's Solved these Questions

  • NTA TPC JEE MAIN TEST 104

    NTA MOCK TESTS|Exercise PHYSICS (SUBJECTIVE NUMERICAL)|10 Videos

  • NTA TPC JEE MAIN TEST 103

    NTA MOCK TESTS|Exercise PHYSICS|30 Videos

  • NTA TPC JEE MAIN TEST 105

    NTA MOCK TESTS|Exercise PHYSICS |30 Videos

Similar Questions

Explore conceptually related problems

Power delivered to a paticle varies with time as P = (3t^(2) - 2t) watt, where 't' is in seconds, then change in its kinetic energy between time t = 1 to t = 3s .

Power applied to a particle varies with time as P=(4t^(3)-5t+2) watt, where t is in second. Find the change its K.F. between time t = 2 and t = 4 sec.

If displacements of a particle varies with time t as s = 1/t^(2) , then.

Power supplied to a particle of mass 2kg varies with time as P=3t^(2)/2 watt,where t is in seconds If velocity of particle at t=0 is v=0 the velocity of particle at t=2 sec will be ?

Power supplied to a particle of 1 kg varies with times as P = t^(2)/2 watt. At t = 0, v= 0, the velocity of the particle at time t = 3s is