the falling bean?

Question

if u throw a frozen bean of the empire state building how fast would it b going when it hits the deck

Answer 1

it's about 400m high.
so if you ignore air resistance, the speed will be:
v= sqrt(2 x 10 x 400)
v=approx 90m/s = 324 km/hr.
It will actually be more like 40 km/hr with air resistance though.

Answer 2

The final velocity (v) just before it hits the ground is dependent on the initial velocity (u), the gravitational acceleration (g=9.81m/s2) and the height of the building (s) according to the equation:
v^2 = u^2 + 2as
v^2 = 0 + 2(9.81)(381)
v = 86.5m/s

assuming that you are merely letting the bean go and not throwing it downwards and that you are at the highest point of the empire state building.

Note that if you were to throw a bowling bowl, the speed would also be the same if the air resistance was considered negligible.

Answer 3

this involves a lot of approximations.

taking:-

m = 5g = 0.005Kg
Cd = 0.4 (approx a rough surfaced sphere)
A = 1.5cm^2 = 0.00015m^2
p = 1.2 (approx sea level at 20 degrees, dry air)
g = 9.8 m/s^2

this gives the terminal velocity of 36.9m/s

assuming no air resistance and a height of approx 400m, the bean would acheive a velocity of 81 m/s, so terminal velocity would definately be acheived.

assuming that my units and approximations are right, the bean would acheive terminal velocity of about 36.9 m/s which is about 83mph (132.82 Km/h)

Answer 4

Did you know that polar bears have 38 words for Innuit?

Answer 5

The same speed as the pull of gravity.

Answer 6

You wouldn't need to throw it.
Just let it go.
It will find its own way down

Answer 7

126 miles per hour

Answer 8

why does it have to be frozen????