A block and tackle machine is used to raise 300 kg grand piano a vertical distance of 12.5 m. If the efficiency of the block and tackle machine is 0.80, how much work must the piano movers do in lifting the piano ? a. 45938 J b. 36750 J c. 29400 J d. 4688 J

Respuesta :

The amount of work done by the piano mover in lifting the piano 45938 J (Option A)

What is efficiency?

This can be defined as the capacity to achieve a given task with little or no waste. Mathematically, it can be expressed as

Efficiency = (output / input) × 100

How to determine the work input

  • Mass (m) = 300 Kg
  • Distance (s) = 12.5 m
  • Efficiency = 0.80
  • Acceleration due to gravity (g) = 9.8 m/s²
  • Output = mgs = 300 × 9.8 × 12.5 = 36750 J
  • Input = ?

Efficiency = output / input

Input = Output / efficiency

Input = 36750 / 0.8

Input = 45938 J

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