BrainDen.com - Brain Teasers
• 0

# Weighing Champ

Go to solution Solved by dgreening,

## Question

With a tip of the hat to wolfgang...

Lake Champlain has long been surrounded by rumors of a mysterious creature akin to the Loch Ness Monster. The locals call him "Champ," and he is officially a protected species in both Vermont and New York State.

And after so many decades of stories and speculation, Champ has been spotted!! Scientists, eager to learn as much as possible about the potentially prehistoric lake monster before he disappears again, have quickly assembled all of the maritime and scientific equipment that they might possibly need. However, owing to Champ's thoroughly protected status, officials have mandated that no experiment shall be conducted which might pose an immediate risk to Champ's life or health; in particular, they stipulate that Champ can not be removed from the lake at any time, even momentarily (nor can the ecosystem of the lake be impacted such as by draining the lake).

Can you find a method to determine Champ's inherent buoyancy?

Can you find a method to determine how much Champ would weigh if he were allowed to be hoisted out of the water and placed on a scale?

## Recommended Posts

• 0
• Solution

I am not sure if this satisfies the requirements about not impacting the eco-system.

suppose you create a "collapsible fish bowl" made of a water proof material [that will not leak]. leave the sides down.

Note: This could be "very large"

When champ swims into the area of the cage:

• close the sides and
• lift it such that the tops of the sides are just above [inches perhaps] the water level. and
• weigh the enclosure.
• lower the enclosure
• drop the sides

As soon as champ safely exits the area of the cage:

• close the sides and
• lift it such that the tops of the sides are just above [inches perhaps] the water level. and
• weigh the enclosure.
• lower the enclosure
• drop the sides

The difference in weight will give you the difference between Champ's weight and the weight of the water volume displaced by Champ.

On reflection, this may be a non-trivial calculation, but the concept may work.

##### Share on other sites
• 0

I am not sure if this satisfies the requirements about not impacting the eco-system.

suppose you create a "collapsible fish bowl" made of a water proof material [that will not leak]. leave the sides down.

Note: This could be "very large"

When champ swims into the area of the cage:

• close the sides and
• lift it such that the tops of the sides are just above [inches perhaps] the water level. and
• weigh the enclosure.
• lower the enclosure
• drop the sides

As soon as champ safely exits the area of the cage:

• close the sides and
• lift it such that the tops of the sides are just above [inches perhaps] the water level. and
• weigh the enclosure.
• lower the enclosure
• drop the sides

The difference in weight will give you the difference between Champ's weight and the weight of the water volume displaced by Champ.

On reflection, this may be a non-trivial calculation, but the concept may work.

I think the environmental officials would be alright with that approach. Well done!

## Join the conversation

You can post now and register later. If you have an account, sign in now to post with your account.

×   Pasted as rich text.   Paste as plain text instead

Only 75 emoji are allowed.

×   Your previous content has been restored.   Clear editor

×   You cannot paste images directly. Upload or insert images from URL.