Questions
A body of mass 1 kg begins to move under the action of a time dependent force, where
are unit vectors along X and Y-axis. What power will be developed by the force at the time (t)?
a
2t2+4t4W
b
2t3+3t4W
c
2t3+3t5W
d
2t+3t3W
detailed solution
Correct option is C
According to question, a body of mass 1 kg begins to move under the action of time dependent force, F=2ti^+3t2j^Nmdvdt=2ti^+3t2j^∫dv=∫2ti^+3t2j^dt (∵m=1 kg)v=t2i^+t3j^∴ Power developed by the force at the time t will be given byP=F·v=2ti^+3t2j·t2i^+t3j^=2t·t2+3t2·t3P=2t3+3t5WTalk to our academic expert!
Similar Questions
If force F is applied on a body and it moves with the velocity V, the power will be :
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