Final answer:
To calculate the efficiency of the ramp, divide the useful work by the output work and multiply by 100%. The weight of the crate can be calculated using the formula: weight = mass * gravitational acceleration. The efficiency will be calculated as 127.4%.
Step-by-step explanation:
The efficiency of a ramp can be calculated using the formula: efficiency = (useful work/output work) * 100%. Since the workers did 9,231 J of work on the crate and the ramp is 7m high, we need to calculate the output work.
The output work is equal to the weight of the crate multiplied by the height it was pushed up.
The weight of the crate can be calculated using the formula: weight = mass * gravitational acceleration.
Then, multiply the weight by the height to get the output work. Finally, divide the useful work by the output work and multiply by 100% to get the efficiency of the ramp.
First, calculate the weight of the crate: weight = mass * gravitational acceleration = 1,033 N
Next, calculate the output work: output work = weight * height = 1,033 N * 7m = 7,231 J
Finally, calculate the efficiency: efficiency = (useful work/output work) * 100% = (9,231 J/7,231 J) * 100%
= 127.4%