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A 20kg mass is to be pulled up a slope inclined at 30° to the horizontal....

Physics
JAMB 2018

A 20kg mass is to be pulled up a slope inclined at 30° to the horizontal. If efficiency of the plane is 75%. The force required to pull the load up the plane is J [g=10ms\(^{− 2}\)]

  • A. 87N
  • B. 73.5N
  • C. 133.3N
  • D. 533.2N
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Correct Answer: Option C
Explanation

V. R = \(\frac{1}{Sinθ}\)

  m = 20kg

  V.R = \(\frac{1}{Sin 30}\)

  = 2

  Efficiency = 75%

  Load = mg

  = 20 x 10 = 200N

  Efficiency = \(\frac{M.A}{V.R} \times 100\)

  75/100 = \(\frac{M.A}{2}\)

  M .A = \(\frac{75 \times 2}{100}\)

  M. A = 1.5

  Since M. A. = \(\frac{\text{Load}}{\text{Force}}\)

  Force = \(\frac{200}{1.5}\)

  = 133.3N

There is an explanation video available below.


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Explanation Video

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