The Best Strategy For Cars Racing!
You and your friend make 2 equal balls, you named your ball as A and your friend's ball named as B. You and your friend preparing both balls for cars toy racing. So you and your friend start to test the balls with racing the balls with inclined plane (because the cars toy racing use gravity force). But there are something wrong with your friend's ball, his/her ball is not rolling on the inclined plane it just sliding meanwhile your ball is rolling. Which ball is comes first to the finish line?
Note:
-Equal means the balls have same radius and material
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1 solution
This explaination using "law of energy conservation", If anyone can did this with Newton Formula, Please Comment or Input the solution!
The energy that happens to Ball B is:
m g h = 1 / 2 . m . v 2
v = 2 . g . h
The energy that happen to Ball A is:
m g h = 1 / 2 . m . v 2 + 1 / 2 . I . w 2
m g h = 1 / 2 m . v 2 + 1 / 2 . ( 2 / 5 ) . m . R 2 . ( v / R ) 2
v = 1 0 / 7 g h
Since Ball B is faster than Ball A so Ball B comes first to the finish line.