Question

A particle moves with a constant velocity V vector =6i+6j+3k m/s under the influence of a constant force F vector =5i-15j+10k N. Find the instantaneous power....

Answer 1

$F = 5i-15j+10k\ N\\ \\v=6i + 6j +3k\ m/s\\ \\Power, P=F.v\\ \\ \Rightarrow P = (5i-15j+10k).(6i + 6j +3k)\\ \\ \Rightarrow P = 5 \times 6+(-15) \times 6 + 10 \times 3 \\ \\ \Rightarrow P=30-90+30\ Nm/s\\ \\ \Rightarrow P=60-90\ Nm/s\\ \\ \Rightarrow P=-30\ W$