On to the Hulk lifting stuff.
With Hulk, he would retain more strength the smaller he got (relative to his body mass).
Let's assume Hulk is 15 feet tall when he chucked that tank's entire turret top like it was nothing and it flew many many miles.
Based on the stats I'm seeing of Abrams tanks on this forum:
http://208.84.116.223/forums/index.php?showtopic=27709
Looks like the turret has a mass around 21 tonnes.
Since we already know one dimension of his size, we can scale down to 3 inches. I want to convert to metric because I am becoming jaded at the crappy English Units system.
15 feet = 4.57 meters = 457 cm
3 inches = 7.62 cm
Let's pretend that he's a cube and that's the measure of one side (I KNOW it's not right, but we are doing this for simplicity's sake, just to get an idea, NOT to get an exact number. Why? We don't know his muscle fiber cross-sectional area, so we can just "fudge" a little bit and get close).
Pretend Hulk has a mass that's about 3 times as dense as a human OR about 3 g/cm^3
Let's purify Hulk into a cube shape to make our calculations easier.
How do we do that? Easy: we know his height. We can guess his density.
So what is his mass? Well, Hulk weighs 1040 lbs as the standard green Hulk at 7 feet tall.
1040 lbs = 471744 g
Divide 3g/cm^3 to get his volume.
471744g/3g/cm^3 = 157248 cm^3
We must scale that to his height of 15 feet which is 457 cm.
We can do this with the following formula
M=((b/a)^3)*m
Thanks to Astner for talking some sense into me and convincing me that that works.
Anyway, a is one dimension before transformation.
b is the same, congruent, dimension after transformation.
m is the mass before transformation.
M is the mass after transformation. Again, this is assuming two congruent 3d objects.
We must convert 7 feet to cm.
213.4 cm
(457cm/213.4cm)^3)*471744g = 4633100.7 g (or 4.6 tonnes...which is about right.)
Now we know his mass, his lifting power feat, his height before and after transformation.
So now we need to figure out how much mass he can lift AFTER transforming into a little dude. We are almost there. Using our cube as the "example" to scale, we will pretend Hulk is a cube. Since we have a fair guess on density, let's turn him into a cube and scale him down to a small cube. Essentially, we are doing the reverse of the scale up.
To find one side, first, find his volume.
We know density and we know his mass: 4633100.7g/(3g/cm^3) = 1544366.9 cm^3
That's his volume. To scale it down to a cube, fine one side by finding the cube root: (1544366.9cm^3) ^(1/3) = 115.6 cm
So that's just ONE side of our "Hulk" cube.
This is getting much easier, I assure you. We are almost there.
Our Hulk cube can perform a strength feat of 21,000,000 g. His own mass gets in the way of that feat and his mass is 4,600,000 g. Again, this is just for simpilcity's sake, even though this is not exact. So add 4,600,000g to 21,000,000g to get the total mass lifted by his muscles during that feat: 25,600,000g.
Cross-sectional area...almost. Let's keep it within our cube man. Find the ratio between the surface area of one of the sides and the total mass lifted:
(115.6cm) ^2 = 13363.36 cm^2.
25,000,000g/13,363.36cm^2 is our ratio to surface area. So for every square cm, Hulk can lift 1870.79 g per square cm. That's our factor. We just need to find his surface area for his "small" cube.
Scale it down to the small size.
7.62 cm has to be turned into a cube, as well. Since we figured out density and mass, we can figure out the rest.
M = ((b/a)^3)*m
((7.62cm/457cm)^3) * 4633100.7g = 21.5g
Lil' Hulk weighs 21.5g. How cute. ๐
Now that we know his little mass, we can use our guess on density to find his little volume: 21.5g/3g/cm^3 = 7.2 cm^3
Cube root that to find one side of his small cube: 1.931cm
ALMOST THERE!!!!
Square that one side to find the surface area of our small cube (I could have squared rooted our volume to find the surface area, but that's a bit confusing to follow for non-nerds, so I just skipped that short-cut, in both instances, and went for just one side so you could see the squaring happen):
3.73cm^2
Now we just apply our ratio and THEN subtract our mass from that product to find how much he could lift in the SAME manner he did against the tank:
1870.79 * 3.73 = 6978 grams. Subtract 21.5 g from that and it's 6957. OR... about 7 kilograms.
Before people freakout and say that isn't a lot of weight, that's absurdly much more than most bugs can lift that are larger.
Do a lifting to mass ratio for both sizes:
Big Hulk could lift 5.6 times his own body mass in the tank turret throwing feat while at his large size.
Now compare that to his small size: He has a mass of 21.5g and he can lift 6957 grams. Add those two together and divide it by his little mass to find how many times his body mass he can lift:
325.56 times his own body mass. A huge difference.