Answer:
10.99 m
Explanation:
m = mass of the block = 0.245 kg
k = spring constant of the vertical spring = 4975 N/m
x = compression of the spring = 0.103 m
h = height to which the block rise
Using conservation of energy
Potential energy gained by the block = Spring potential energy
mgh = (0.5) k x²
(0.245) (9.8) h = (0.5) (4975) (0.103)²
h = 10.99 m
Answer:
the earth isn't a cracked hard boiled egg, but I'd guess they mean layers. A thin shell/crust and the yolk and whites of the egg represent layers of the earth
Explanation:
B.---A. warm water B. thermocline C. cold water
Explanation:
We will assume that the rim of the wheel is also very thin, like the spokes. The distance <em>s</em><em> </em><em> </em>between the spokes along the rim is

The 20-cm arrow, traveling at 6 m/s, will travel its length in

The fastest speed that the wheel can spin without clipping the arrow is

The angular velocity
of the wheel is given by

In terms of rev/s, we can convert the answer above as follows:

As you probably noticed, I did the calculations based on the assumption that I'm aiming for the edge of the wheel because this is the part of the wheel where a point travels a longer linear distance compared to ones closer to the axle, thus giving the arrow a better chance to pass through the wheel without getting clipped by the spokes. If you aim closer to the axle, then the wheel needs to spin slower to allow the arrow to get through without hitting the spokes.
We can find the momentum of the rock by using De Broglie's relationship:

where
p is the momentum
h is the Planck constant

is the De Broglie's wavelength
By using

, we find

The momentum of the rock is

where

is the mass and v is its velocity. Rearranging the equation, we find the speed of the rock: