A force acts on a 30 g particle in such a way that the position of the particle as a function of time is given by x = 3 t - 4 t 2 + t 3 where x is in meters and t is in seconds. The work done during the first 4 seconds is

Question

A force acts on a 30 g particle in such a way that the position of the particle as a function of time is given by x = 3 t - 4 t 2 + t 3 where x is in meters and t is in seconds. The work done during the first 4 seconds is, 5.28 J, 450 m J, 490 m J, 530 m J

MARKS App · Accepted Answer

v = d x d t = 3 - 8 t + 3 t 2 Speed at t = 0 is v 0 = 3 m / s Speed at t = 4 is v 4 = 19 m / s According to work energy theorem W = 1 2 m v 4 2 - v 0 2 W = 1 2 × 0.03 × 1 9 2 - 3 2 = 5.28 J

Search any question & find its solution

Looking for more such questions to practice?