SI
SI
discoversearch

We've detected that you're using an ad content blocking browser plug-in or feature. Ads provide a critical source of revenue to the continued operation of Silicon Investor.  We ask that you disable ad blocking while on Silicon Investor in the best interests of our community.  If you are not using an ad blocker but are still receiving this message, make sure your browser's tracking protection is set to the 'standard' level.
Politics : Stop the War! -- Ignore unavailable to you. Want to Upgrade?


To: AK2004 who wrote (19707)7/24/2003 7:08:02 AM
From: jttmab  Read Replies (1) | Respond to of 21614
 
It doesn't make any difference whether you change or not. The big prize is either behind the door you picked or the other one. There has been no information given that makes one or the other pick more likely.

Back to the two surfaces problem....One surface has a slight bend [i.e. smooth curve]; but one can have a smooth curve that is not symmetric. Let's just concern ourselves with that surface. Let's define that the bend begins at point x and ends at point y and that the lowest point in the bend is closer to point x then it is point y [non symmetric].

The speed of the ball as it enters the bend will begin to accelerate [due to gravity] until the ball reaches the lowest point of the bend. From the bottom of the bend, gravity will result in the deceleration of the ball.

The increased speed of the ball is a function of gravity and the amount of time that it takes the ball to reach the lowest point of the bend. Since the bend is not symmetric, the surface travelled from the lowest part of the bend to point y is considerably longer than the travelled distance from point x to the lowest part of the bend. Suggesting the amount of time travelled going "up" will [or may] exceed the time that the ball travelled down the bend.

If that's true, than the effects of gravity on the ball will be greater while the ball is going up than it will be while the ball is going down. Hence, the speed of the ball at point x will be less than the speed of the ball at point y.

True or False.

jttmab

jttmab