Pages

Search The Physics Blog

Thursday, January 23, 2014

Get your Bake on!

 

Riddle me this...

There's nothing like homemade! You decide to bake a delicious dessert with only the best of ingredients. Mmmmm, honey sweetened apple pie!

On the prep counter, you have TWO measuring cups -- one is full of water (density of 1 g/mL) and the other full of honey (density of about 1.5 g/mL). In your haste, you accidentally drop a whole apple into the measuring cup of water. Oops! But you notice something....
The water level in the measuring cup went up 300 mL. The apple floated there exactly half submerged.
That must mean the apple has a volume of ____________.
And since you know that the weight of the liquid displaced equals the Buoyant Force on the object (thank you, Archmidedes!), the floating apple has a weight of _________.

You now carefully pull the apple out of the water and in the process of drying it off it slips out of fingers again and goes SPLAT right into the measuring cup of honey. Ugh! Being ever inquisitive, you notice that the level of the honey didn't rise as much as the water, and the apple seems to be floating higher -- only about 1/3 of it is submerged.
With only 200mL of the honey displaced, the weight of the honey displaced is _________________.

 Soooooo, the weight of the honey displaced was MORE/LESS/SAME as the weight of the water displaced, because.... ______________________________________________________________ _______________________________________________________________________________.

*****YOUR RESPONSE HAS TO ANSWER ALL FIVE QUESTIONS...
1. Apple's volume?   2. Apple's weight?   3. Displaced honey's weight?    4. More/Less/Same   5. Why is it more/less/same?   And don't forget UNITS.