a machine is driven by a 100 kg mass that falls 8 meter it lifts a load of 500kg vertically upward (g=10m/s2) calculate the work done by a falling mass
Answers
Explanation:
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Answer:
Given:–
• Mass = 100kg
• Displacement = 8.0m
• Load = 500kg
• Time = 4.0s
• g = 10ms^-2
To find:–
• Force exerted
• Work done
• Power input
• Power output if efficiency is 60%
As we know:–
Step by step explaination:–
(a) As force exerted by falling mass = mass × g
So, mass is 100 kg and g is 10ms^-2.
That is,
→ 100 × 10
→ 1000 N
(b) As work done by the falling mass = force exerted × displacement .
That is,
→ mg × d
→ 1000 × 8
→ 8000J
(c) As power input = work done on machine/time.
That is,
→ 2000W
(d) Now we have to calculate the power output if efficiency is 60%.
As,
efficiency = power output/power input
Thus,
Power output = power input × efficiency
That is,
→ 2000 W = 0.6
→ 1200 W