A body is under action of a force F such that the force displacement graph of the body is semi circular as shown above. The work done on the body by the force in moving through 24 meters is

a
36π J
b
72π J
c
144π J
d
288π J
Explanation
Correct Option
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AhileEucharia
6 years ago
Workdone =area of semi circle
=1/2 × pii × r^2
Where r=12, and pii is undefined...
=1/2 × pii × 12^2
=1/2 × pii × 12 ×12
=1/2 × pii × 144
= 1/2 of 144 × pii
=72piiJoules
Or alternatively..
Where pii= 22/7
Wd = 1/2 × 22/7 × 12^2
=1/2 × 22/7 × 144
=11/7 × 144
=11 × 144 ÷ 7
= 1584 ÷ 7
= 226.28Joules
Approximately 226.3Joules

