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Grade 12Mechanics

If body of mass 2 kg is moving along x axis under an external force, whose displacement is given by
x(t) = 3t2 – 2t + 5 m. Find the work done by force from t = 0 to t = 5 sec

Profile image of Sumanth Mede
7 Years agoGrade 12
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1 Answer

Profile image of Rohith
ApprovedApproved Tutor Answer7 Years ago
differntate x(t) it will be
6t-2 which is equal to the velocity of the body
diffrentiate v(t) it will be 
6 which is equal to acceleration 
we know that F= ma
m= 2 kg,a= 6 hence force is 12 N 
Sub t= 5 in x(t) we  get 70 m 
hence displacement s=70 m 
Workdone =F×s
12×70=840 J
840 J is the answer