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Two hundred newton·meters of work is put into a machine over a distance of 20 meters. The machine does
150 newton·meters of work as it lifts a load 10 meters high. What is the mechanical advantage of the
machine?

Sagot :

200 newton meters is put over the distance of 20 meters, then over the distance of 10 meters 100 newton-meters must be put (simple fraction over 2).
At the same distance of 10 meters but during lifting you need to put 150 newton-meters (which means 50Nm more than during horizontal movement).

According to that you can say that the machine's advantage is horizontal movement because it does smaller work than during lifting objects. That means it consumes then less energy and then it costs less.

Answer:

Mechanical advantage of the machine is 1.5

Explanation:

The formula for mechanical advantage is:

MA = OutputForce/InputForce

To calculate this, we need the force of input and the force of output.

The formula to calculate the force given the work (W) and the distance (d) is:

F = W/d

Calculating the input force Fi:

Fi = 200Nm/20m = 10 N

Calculating the output force Fo:

Fo = 150Nm/10m = 15 N

Thus, the mechanical advantage MA is:

MA = 15N / 10N = 1.5

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