Two students ride in carts opposite to one another in a spinning ferris wheel. S
ID: 1960653 • Letter: T
Question
Two students ride in carts opposite to one another in a spinning ferris wheel. Student A is originally at the bottom of the ferris wheel while student B is at the top of the ferris wheel. As the wheel turns, student B comes to the bottom while student A arrives at the top.The ferris wheel spins at a constant speed so that the two students are traveling with constant speed. Students A and B have masses mA and mB, respectively. The ferris wheel has a radius R.
a) What is the magnitude of the TOTAL work done on student A in moving from the bottom to the top of the ferris wheel? The total work is the sum of the work done by all of the forces on the body; i.e., Wtotal =F s. Neglect air resistance
b) What is the magnitude of the work done on student B by the ferris wheel in moving from the top to the bottom?
c) What is the sign of the work done on student
B by the ferris wheel in moving from the top
to the bottom?
Explanation / Answer
(a.)
since the initial and final velocity are same
thus,
change is only in potential energy that is
= mgh
= ma * g * 2R
(b.)
same case just change in potential energy due to gravity
here it move form potential to low thus its negative
= - mb * g * 2R
(c.) negative as,
here it move form high potential to low thus its negative
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