To lift a load of 100 N a distance of 1 m an effort of 25 N must be applied over an inclined plane of length 4 m. What must be d
2 answers:
Answer: The correct answer is A) Use an inclined plane of 8 m
Work :
Work is defined as force applied to an object to move it to some distance . It is calculated as product of force and displacement .
W = F* d
Where : W =work (N-m) F = force (N) d = displacement (m)
When a body is lifted , work can be expressed as :
W = m*g*h ( h = height )
Also force due to gravitation can be given as
F = m* g
where :
g = gravitational acceleration (
Hence Work can be written as : W = F * h
Given :
Force on load due to gravitation = 100 N Height = 2 m
Force applied = 25 N displacement = ?
Work done to lift the load to 2 m = F * h
= 100 N * 2 m = 200 N-m
Plugging W = 200 N-m in work formula
W = F* d
200 N-m = 25 N * d
Dividing both side by 25 N
d = 8 m
Hence, to lift the load using 25 N , the inclined plane of 8 m can be used .
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