AP PHYSICS PROBLEM SELF POWERED ELEVATOR
THE FIGURE SHOWS AN 80 KG PERSON STANDING ON A 20 KG PLATFORM SUSPENDED BY A ROPE PASSING OVER A STATIONARY PULLEY THAT IS FREE TO ROTATE. THE OTHER END OF THE ROPE IS HELD BY THE PERSON. THE MASSES OF THE ROPE AND PULLEY ARE NEGLIGIBLE. YOU MAY USE
g = 10 M/S2. ASSUME THAT FRICTION IS NEGLIGIBLE, AND THE PARTS OF THE ROPE REMAIN VERTICAL.
A) IF THE PLATFORM AND PERSON ARE AT REST, WHAT IS THE TENSION IN THE ROPE?
THE PERSON NOW PULLS ON THE ROPE SO THAT THE ACCELERATION OF THE PERSON AND THE PLATFORM IS
2 M/S2 UPWARD.
B) WHAT IS THE TENSION IN THE ROPE UNDER THESE NEW CONDITIONS?
C) UNDER THESE CONDITIONS, WHAT IS THE FORCE EXERTED BY THE PLATFORM ON THE PERSON?
AFTER A SHORT TIME, THE PERSON AND THE PLATFORM REACH AND SUSTAIN AN UPWARD VELOCITY OF 0.4 M/S.
D) DETERMINE THE POWER OUTPUT OF THE PERSON REQUIRED TO SUSTAIN THIS VELOCITY.