Question

Moving a sofa into a moving truck requires 2925 J of work by the moving man. If the work done by the inclined plane to move the sofa is 2205 J, what is the efficiency of the inclined plane?

a) 75.5%
b) 75%
c) 80%
d) 90%

Answer 1

The efficiency of the inclined plane is calculated by dividing the work output by the work input and multiplying by 100%, which results in an efficiency of 75.5%.

Step-by-step explanation:

The efficiency of the inclined plane can be calculated using the formula:

Efficiency

= (Work output/Work input) × 100%

In this case, the work done by the moving man is the work input which is 2925 J, and the work done by the incline plane is the work output which is 2205 J. Therefore, we can calculate the efficiency as follows:

(2205 J / 2925 J) × 100% = 75.3%

We can round this off to the nearest half percent as per the options given in the question, leading us to answer (a) 75.5%. Hence, the efficiency of the inclined plane is 75.5%.