Work Power and Energy 5 Question 2

4. A time dependent force F=6t acts on a particle of mass 1kg. If the particle starts from rest, the work done by the force during the first 1s will be

(a) 22J

(b) 9J

(c) 18J

(d) 4.5J

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Answer:

Correct Answer: 4. (d)

Solution:

  1. From Newton’s second law, ΔpΔt=F

Δp=FΔt

p=dp=01Fdt

p=016tdt=3kgms

Also, Δk=Δp22m=322×1=4.5

So, work done =Δk=4.5J



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