Question

This graph shows a ball rolling from A to G. The ball starts at point A and rolls to point G.
11. At what letter does the ball have the greatest kinetic energy? .
12. Which letter shows the ball when it has the maximum potential energy =
13. Which letter shows the ball when it has the least potential energy?
4. wny is point G slightly lower than point A? In other words, why couldn't the ball go back to the same
height at which it started?

Answer 1

11. would be either A or B, which ever one is already rolling.

12. I would say A if it hasn't started moving

13.  D has the least potential energy

14.  The ball can't go as high because it is loosing energy every time and won't be building up as much kinetic energy

Answer 2

The Answers are

11 :   At Point A the ball has greatest kinetic energy

12 : At Point D the ball has maximum potential energy.

13:   At Point A the ball has least potential energy.

14: Point G is slightly lower than Point A Mechanical Energy  ( Kinetic Energy + Potential Energy) of System is not constant  in the given situation.

Considering the reference line at Point A

we can answer the questions

According to this problem

Total Energy of System = Total Kinetic Energy  (KE)  + Total Potential Energy (PE)  + Loss of Energy .........(1)

Equation (1) shows the energy balance equation for the given system

11 At point A the ball is having maximum Kinetic Energy

12 Since we considered our reference line at point A the farthest point   from A is D so we can say that at point D system has maximum Potential Energy.

13 As the reference line passes through A so the distance of point A from reference line is Zero and hence we can conclude that at A Potential Energy is minimum.

14 Point G is lower than Point A due to loss of energy due to frictional and other resistances so the total mechanical energy of system is not constant.

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