Question on: JAMB Physics - 2024

A load of 300N is to be lifted by a machine with a velocity ratio of 2 and an efficiency of 60%. What effort will be applied to lift the load?

A

100N

B

150N

C

250N

D

400N

Ask EduPadi AI for a detailed answer
Correct Option: C

Here's how to solve the problem:

1. Understand the concepts:

  • Velocity Ratio (VR): The ratio of the distance moved by the effort to the distance moved by the load. In this case, VR = 2.
  • Mechanical Advantage (MA): The ratio of the load to the effort (MA = Load/Effort).
  • Efficiency (η): The ratio of the useful work output to the work input. Efficiency = (MA/VR) * 100%

2. Use the efficiency formula:

  • 60% = (MA / 2) * 100%
  • 0.6 = MA / 2
  • MA = 0.6 * 2 = 1.2

3. Use the Mechanical Advantage formula to find the Effort:

  • MA = Load / Effort
  • 1.2 = 300N / Effort
  • Effort = 300N / 1.2 = 250N

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