Question
Download Solution PDFThe power required to lift a mass of 8⋅0 kg up a vertical distance of 4 m in 2 s is (taking acceleration due to gravity as 10 m/s2):
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFThe correct answer is option "2"
Calculation:
To calculate the power required to lift the mass, we need to determine the work done first.
The work done (W) is given by the formula:
W = force × distance
The force required to lift the mass against gravity is equal to the weight of the mass. The weight (W) can be calculated using the formula:
W = mass × acceleration due to gravity
In this case, the mass is 8.0 kg and the acceleration due to gravity is 10 m/s². Therefore, the weight is:
W = 8.0 kg × 10 m/s²
= 80 N
The distance lifted is 4 m, so the work done is:
W = 80 N × 4 m
= 320 J (joules)
Now, we can calculate the power (P) using the formula:
P = work/time
In this case, the work done is 320 J and the time taken is 2 s. Therefore, the power required is:
P = 320 J / 2 s = 160 W (watts)
Last updated on May 30, 2025
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