they expand 10,300 joules of energy to lift some bricks with the lever . if 6,283 joules of energy are applied to bricks what is the lever effiency and why please show steps
0.61 %
61%
164%
39%
39%
Steps:
1. Calculate the amount of energy used to lift the bricks: 10,300 - 6,283 = 4,017 Joules
2. Calculate the efficiency of the lever: 4,017 / 6,283 = 0.639
3. Convert the efficiency to a percentage: 0.639 x 100 = 63.9%
4. Subtract the efficiency from 100%: 100% - 63.9% = 39.1%
5. Round the efficiency to the nearest whole number: 39.1% = 39%
To find the lever efficiency, we need to divide the output energy by the input energy and multiply by 100% to express it as a percentage.
1. Input energy: 6,283 joules
2. Output energy: 10,300 joules
Lever efficiency = (Output energy / Input energy) * 100%
Lever efficiency = (10,300 joules / 6,283 joules) * 100%
Lever efficiency ≈ 1.6413 * 100%
Lever efficiency ≈ 164.13%
Therefore, the lever efficiency is approximately 164.13%.
The lever efficiency is calculated by comparing the amount of work or energy output by the lever (10,300 joules) to the amount of work or energy inputted into the lever (6,283 joules). In this case, the lever is performing work by lifting the bricks.
A higher percentage indicates a more efficient lever, meaning it can transfer a larger amount of input energy to the output energy. In this case, the lever efficiency of approximately 164.13% suggests that the lever is highly efficient, with some additional external factors potentially contributing to the higher output energy compared to the input energy.
To calculate the efficiency of the lever, we can use the formula:
Efficiency = (Output work / Input work) x 100%
Given that the lever expands 10,300 joules of energy (output work) and 6,283 joules of energy are applied to the bricks (input work), we can substitute these values into the formula:
Efficiency = (10,300 / 6,283) x 100%
Efficiency = 1.64 x 100%
Efficiency = 164%
Therefore, the lever efficiency is 164%.