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Question

Physics Question on Centre of mass

A particle of mass 500 gm is moving in a straight line with velocity v = bx 5/2. The work done by the net force during its displacement from x = 0 to x = 4 m is : (Take b = 0.25 m–3/2s–1).

A

2 J

B

4 J

C

8 J

D

16 J

Answer

16 J

Explanation

Solution

The correct option is(D): 16 J.

W total = Δ K

=12(12)[b(4)5220]=\frac{1}{2}(\frac{1}{2})[{b(4)^{\frac{5}{2}}}^2-0]

=b24×45=\frac{b^2}{4}×4^5

W total = 16 J