An inclined plane of length 8 m is used to lift the load 2 m, using the same effort.
A ramp that helps lift and lower heavy things is called an inclined plane. It is a flat surface that is positioned against a horizontal surface at an angle other than a right angle.
Work is defined as the use of force to move an object over a distance. It is derived as the product of displacement (d) and force (F). Work is given by W = F×d = 25 N×d.
When a body is lifted, we can express work as W = m×g×h where g is gravity and h is height. And the force is written as F = m×g where m is the mass of an object. Then, W = F×h
Calculating the work done to lift the load to 2 m, we get,
W = 100 N×2 m = 200 Nm.
Substitute this value in W = F×h, we get,
200 Nm = 25 N×d
Divide both sides by 25 N, and we get,
The value is 8 m. Therefore, the first statement is correct.
The complete question is -
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 done to lift the load 2 m, using the same effort?
A. Use an inclined plane of length 8 m.
B. Use an inclined plane of length 2 m.
C. Use an inclined plane of length 10 m
D. Use an inclined plane of length 16 m.
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