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Lunna [17]
1 year ago
7

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

one to lift the load 2 m, using the same effort?.
Mathematics
1 answer:
aleksklad [387]1 year ago
7 0

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,

\begin{aligned}\frac{\mathrm{200\;Nm}}{\mathrm{25\;N}}&=\frac{\mathrm{25\;N\times d}}{\mathrm{25\;N}}\\d&=\mathrm{8\;m}\end{aligned}

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.

To know more about work:

brainly.com/question/2005605

#SPJ4

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