Answer:
If a vertical line extending down from an object's CG extends outside its area of support, the object will topple
Explanation:
We can understand better this situation using a diagram with the forces acting on it.
In the attached image we can see that when the gravity center is bouncing outside from the area of the pedestal, the object will be out of balance and will fall.
Answer:
a) 
b) 
Explanation:
The knowable variables are the initial hight and initial velocity


The equation that describes the motion of the ball is:

If we want to know the time that takes the ball to hit the ground, we need to calculate it by doing s=0 that is the final hight.

a) Solving for t, we are going to have two answers

a=-16
b=64
c=80
or 
<em><u>Since time can not be negative the answer is t=6.378s </u></em>
b) To find the time that takes the ball to pass the top of the building on its way down, we must find how much does it move too
First of all, we need to find the maximum hight and how much time does it take to reach it:

at maximum point the velocity is 0

Solving for t

Now, we must know how much distance does it take to reach maximum point

So, the ball pass the top of the building on its way down at 160 ft

Solving for t
or 
Since the time that the ball reaches maximum point is almost t=2s that answer can not be possible, so the answer is t=3.333s for the ball to go up and down, passing the top of the building
7264 Joule
Use the formula K=0.5*mass*velocity^2
The first: alright, first: you draw the person in the elevator, then draw a red arrow, pointing downwards, beginning from his center of mass. This arrow is representing the gravitational force, Fg.
You can always calculate this right away, if you know his mass, by multiplying his weight in kg by the gravitational constant

let's do it for this case:

the unit of your fg will be in Newton [N]
so, first step solved, Fg is 637.65N
Fg is a field force by the way, and at the same time, the elevator is pushing up on him with 637.65N, so you draw another arrow pointing upwards, ending at the tip of the downwards arrow.
now let's calculate the force of the elevator

so you draw another arrow which is pointing downwards on him, because the elevator is accelating him upwards, making him heavier
the elevator force in this case is a contact force, because it only comes to existence while the two are touching, while Fg is the same everywhere
Answer:
molecular formula =
Explanation:
Given data
c = 92.25%
H = 7.75%
molar mass = 104 g/mol
to find out
the empirical and molecular formula for styrene
solution
we know that
styrene 1 g contain = 0.9225 g C and 0.0775 g H
so
C = 104 × 0.9225 g / 12 g/mol
C = 7.995 mol = approx 8 mol
and
H = 104 × 0.0775 g / 1 g/mol
H = 8.06 mol = approx 8 mol
so we say that 1 mole of styrene have 8 mole of C and H
so
molecular formula =