Moderate

A particle moves with v=-3j+5i+6k ms-1under F=10i+10j+20k N. The power applied will be:

Correct answer: D. 140 Js-1

  • A. 200 Js-1
  • B. 170 Js-1
  • C. 40 Js-1
  • D. 140 Js-1

Explanation

Power = Force · Velocity Force · Velocity = (10i + 10j + 20k) · (-3j + 5i + 6k) (10i + 10j + 20k) · (-3j + 5i + 6k)= (10 * (-3) + 10 * 5 + 20 * 6)= (-30 + 50 + 120)= 140Therefore, the power applied to the particle is 140 J/s (joules per second).

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About Work and Energy

Work transfers energy when a force causes displacement, while kinetic energy, gravitational potential energy and power describe motion, position and the rate of energy transfer. The work-energy theorem links net work with change in kinetic energy, and efficiency accounts for energy losses rather than treating them as energy destruction.

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