What is the buoyant force of water on the block?

AI Thread Summary
The buoyant force on the block can be determined by the difference in its weight in air and water, which is 30 N. This indicates that the buoyant force exerted by the water is equal to the weight difference. For the second problem regarding total mechanical energy in harmonic motion, the formula E = 1/2 k a^2 is applicable, where k is the spring constant and a is the amplitude. The calculated energy is confirmed as 0.50 J, validating the approach taken. Both problems illustrate fundamental principles of buoyancy and harmonic motion in physics.
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Homework Statement


A block of unknown material weighs 50 N in air and 20 N in water. What is the buoyant force of water?

Homework Equations


I know how to calculate density etc. I thought the formula to use was -density x V x g but it's not correct.


Homework Statement


A x Kg mass is attached to a horizontal spring of constant 20 N/m and set into harmonic motion with an amplitude = 0.2m. What is the total mechanical ernergy of the system?

I have no idea what to do... Some help would be greatly appreciated. Thanks!
 
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I was thinking it would be 50 - 20 = 30 but it seems a bit too simple to be true...
 
So for the second:
0.5 * 25 * 0.2^2 = 0.50J ?

THANK YOU!
 
It's simple and it's true.

I can't check your second answer because I can't see what the mass is.

[edit] E = 1/2ka^2 - whoops, you don't need the mass, so you're right there also.
 
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