Question

It takes 1.6 joules of work to compress a spring. A 0.09 kg object is shot vertically upwards by the spring, reaching a height of 0.94 m. What is the percent efficiency of the spring?

A. 7.6%
B. 9.4%
C. 12.2%
D. 15.8%

Answer 1

The percent efficiency of the spring is 5.1%.

Step-by-step explanation:

To calculate the percent efficiency of the spring, we need to first calculate the work done on the object by the spring. The work done is equal to the potential energy gained by the object as it reaches a certain height. The potential energy gained can be calculated using the formula PE = mgh, where m is the mass (0.09 kg), g is the acceleration due to gravity (9.8 m/s^2), and h is the height (0.94 m).

PE = (0.09 kg)(9.8 m/s^2)(0.94 m) = 0.0816 J

The percent efficiency can be calculated using the formula efficiency = (work done by the object / work done by the spring) * 100%.

Efficiency = (0.0816 J / 1.6 J) * 100% = 5.1%