Moderate

A force F= 6i + 2j - 3k acts on a particle and produces a displacement d = 2i -3j+xk, what is the value of "x". If work done is zero?

Correct answer: A. 2

  • A. 2
  • B. -2
  • C. 1/2
  • D. 1

Explanation

We use the formula, W = F.d0 = (6i + 2j - 3k)(2i -3j+xk)x = 12 - 6 -3x3x = 6x = 2

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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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