The "galilean cannon" is a stack of elastic balls that are dropped from a height onto a flat surface. when they rebound, the smallest ball at the top can bounce to incredible heights. imagine a stack of n balls with masses m, , 2m, 3m, … etc. where > 1. the balls are dropped from a height ℎ.

a. assume all the collisions between balls are elastic. derive an expression for the height that the smallest ball bounces to, using m, ℎ, or some subset thereof

b. now assume that the ball-ball collisions are inelastic; when 2 balls collide, their total kinetic energy decreases by some factor i. e. = , with < 1. find such that the topmost ball rises back to the initial height ℎ. assume the bottom ball’s collision with the ground is perfectly elastic.

beta is electron from nucleus

something from nucleus has changed, but charge must be same for cons of charge

when heated, the valance electrons increased their speed and transferred the heat from electron to electron.   i just took the test.

the minimum constant speed at which she can catch the train is 2.7 m/s

given:

acceleration = 0.6

time = 4.5 s

to find:

velocity = ?

formula used:

from 1st kinematic equation we get,

v = u + at

u = initial speed of train = 0 m/s

v = final speed of the train

a = acceleration of the train

t = time

solution:

from 1st kinematic equation we get,

v = u + at

u = initial speed of train = 0 m/s

v = final speed of the train

a = acceleration of the train

t = time

v = 0 + (0.6 × 4.5)

v = 2.7 m/s

the minimum constant speed at which she can catch the train is 2.7 m/s

part 1: which substance has a higher solubility?

a

smallest amount left undissolved atall temps in table shown most has dissolved high sol'by