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A particle of mass 0.2 kg is moving in one dimension under a force that delivers a constant power 0.5 W to the particle. If the initial speed (in m/s) of the particle is zero, the speed (in m/s) after 5 s is ?

A particle of mass 0.2 kg is moving in one dimension under a force that delivers a constant power 0.5 W to the particle. If the initial speed (in m/s) of the particle is zero, the speed (in m/s) after 5 s is ?

Grade:11

2 Answers

Saurabh Koranglekar
askIITians Faculty 10341 Points
one year ago
576-1003_t.PNG
Vikas TU
14149 Points
one year ago
Consider the power of the particle P = 0.5 watt.  
The watt is changed in five seconds. In 5 seconds, W = Pt, since 0.5 x 5.
Work is 2.5 joule.
According to the work energy theorem, W = KE. 2.5 = ½ x 0.2 (v2 -0).
Therefore, the speed of the particle after 5 second is 5 ms.
 

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