Question

An inclined plane, which slopes at 37 o, is used to raise a 10kg object to a height of 4m. If the efficiency of this machine is 80%. The amount of the load force will be _____

Answer 1

To find the load force, we first need to find the effort force.
The efficiency of the machine is given by the formula:

Efficiency = (load force / effort force) * 100

Since the efficiency is 80%, we can write the equation as:

80 = (load force / effort force) * 100

Simplifying the equation, we get:

0.8 = load force / effort force

Rearranging the equation, we find:

effort force = load force / 0.8

Now, let's find the effort force.
The inclined plane raises the object to a height of 4m. The work done by the effort force is given by:

Work = force * distance

The distance is the height, which is 4m. The force is the effort force, and we want to find this value.
The work done by the effort force is equal to the potential energy gained by the object.

Potential energy = m * g * h

where m is the mass of the object, g is the acceleration due to gravity (approximately 9.8 m/s^2), and h is the height (4m).

Potential energy = 10 * 9.8 * 4 = 392 J

Now, we can solve for the effort force:

392 = effort force * 4

effort force = 392 / 4 = 98 N

Using the equation for efficiency, we can find the load force:

0.8 = load force / 98

load force = 0.8 * 98 = 78.4 N

Therefore, the amount of the load force will be 78.4 N.