Final answer:
The wheelchair's mechanical energy at the top of the ramp is determined by its potential energy, which can be calculated using the equation PE = mgh.
Step-by-step explanation:
When the wheel chair is at the top of the ramp, it has potential energy due to its position. The potential energy is given by the equation:
PE = mgh
where m is the mass of the wheelchair (10 kg), g is the acceleration due to gravity (9.8 m/s^2), and h is the vertical height of the ramp (h = L*sin(theta), where L is the length of the ramp (5 m) and theta is the angle of the ramp (20 degrees)).
Substituting the given values into the equation, you can calculate the potential energy at the top of the ramp.