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
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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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