A body of mass 10kg moves according to the relation x=t^2+2t^3.the workdone by the force in the first 2sec is
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- Given
=> Mass = 10 kg
=> time = 2 sec
=> displacement = t^2+2t^3
- To Find
=> Force at t = 2 sec ??
- Concept
=> Force = mass × acceleration = m × a
=> acceleration = d^2x/dt^2
- Calculation
=> a = d^2(t^2+2t^3)/dt^2 = 12t + 2
at t = 2 sec ..... a = (12*2) + 2 = 26m/s^2
=> Force = ma = 10×26 = 260 N
- Answer
Force = 260N
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