By means of a lever, a man applies 60N at one end moving the lever 1m, to move a 200N rock at the other end 0.2m. What is the efficiency ?
work output = 200 N * .2 m = 40 Joules
work input = 60 N * 1 m = 60 Joules
efficiency = 40/60 * 100 = 66.7 %
To find the efficiency of the lever, we first need to understand the principle of a lever. A lever is a simple machine that consists of a rigid bar or rod that is supported at a fixed point called a fulcrum. The lever is used to multiply or change the direction of an applied force.
In this case, the lever is used to move a 200N rock. The man applies a force of 60N at one end of the lever, moving it 1m. The rock moves a distance of 0.2m at the other end.
Efficiency is defined as the ratio of output work to input work, expressed as a percentage. In this case, we can calculate the efficiency using the following formula:
Efficiency = (output work / input work) * 100%
To calculate the output work, we need to determine the product of the output force and the distance it is moved:
Output work = output force * output distance
In this case, the output force is 200N and the output distance is 0.2m. Therefore, the output work is:
Output work = 200N * 0.2m = 40Nm
To calculate the input work, we need to determine the product of the input force and the distance it is moved:
Input work = input force * input distance
In this case, the input force is 60N and the input distance is 1m. Therefore, the input work is:
Input work = 60N * 1m = 60Nm
Finally, we can calculate the efficiency as follows:
Efficiency = (output work / input work) * 100%
= (40Nm / 60Nm) * 100%
= 66.67%
Therefore, the efficiency of the lever in moving the 200N rock is 66.67%.
To find the efficiency, you need to calculate the input work and the output work, and then divide the output work by the input work.
The input work is given by the formula:
Input work = Input force × Input distance
In this case, the input force is 60N and the input distance is 1m. Therefore, the input work is:
Input work = 60N × 1m = 60 N·m
The output work is given by the formula:
Output work = Output force × Output distance
In this case, the output force is 200N and the output distance is 0.2m. Therefore, the output work is:
Output work = 200N × 0.2m = 40 N·m
To calculate the efficiency, divide the output work by the input work:
Efficiency = (Output work / Input work) × 100
Efficiency = (40 N·m / 60 N·m) × 100 = 66.67%
Therefore, the efficiency is approximately 66.67%.