Final Answer:
The ideal mechanical advantage of the 2-meter ramp used to push a 10kg box requiring 50N of force upward is 2.5 (Option C).
Step-by-step explanation:
Calculate the gravitational force acting on the box:
Weight = mass * acceleration due to gravity
Weight = 10 kg * 9.8 m/s^2
Determine the work done against gravity:
Work = Force * Distance
Work = 50 N * 2 meters
Calculate the ideal mechanical advantage (IMA):
IMA = Output Force / Input Force
IMA = Weight / Force
Substitute the calculated values and solve for IMA.
IMA = (10 kg * 9.8 m/s^2) / 50 N
IMA = 2.5
Therefore, the ideal mechanical advantage of the ramp is 2.5 (Option C).