Work Power and Energy 5 Question 4

6. A block of mass 2kg is free to move along the x-axis. It is at rest and from t=0 onwards it is subjected to a time-dependent force F(t) in the x-direction. The force F(t) varies with t as shown in the figure. The kinetic energy of the block after 4.5s is

(2010)

(a) 4.50J

(b) 7.50J

(c) 5.06J

(d) 14.06J

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Answer:

Correct Answer: 6. (c)

Solution:

  1. Area under Ft graph = momentum =p=2km

k=A22m(A= net area of Ft graph )

=[4×321.5×222×2]2

=5.0625 J



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