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harsh_23

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- TL;DR Summary
- Why in two block system, both block tends to have same velocity at maximum potential energy when no external force is applied?

Like how can I prove it and why is it the case?

So giving two examples where this happens

Example 1

Consider a hemispherical bowl and a block placed inside it if the bowl is given velocity vđť‘Ł and given that there is no friction, the block will gain kinetic energy and then will rise to a maximum height h both the bowl and block will have same velocity in horizontal direction and both will have 0 velocity in vertical direction

I get that in vertical direction both will have 0 velocity but why both the block will have same velocity at topmost point.

Example 2

take a two block connected by spring both block are given some velocity then maximum compression or expansion in spring happens when both the blocks have same velocity , here we can get intuition as when both block reaches same velocity there's no chance of maximum compression or expansion but how can I prove it?

Example 1

Consider a hemispherical bowl and a block placed inside it if the bowl is given velocity vđť‘Ł and given that there is no friction, the block will gain kinetic energy and then will rise to a maximum height h both the bowl and block will have same velocity in horizontal direction and both will have 0 velocity in vertical direction

I get that in vertical direction both will have 0 velocity but why both the block will have same velocity at topmost point.

Example 2

take a two block connected by spring both block are given some velocity then maximum compression or expansion in spring happens when both the blocks have same velocity , here we can get intuition as when both block reaches same velocity there's no chance of maximum compression or expansion but how can I prove it?

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