Answer:
The force does the ceiling exert on the hook is 269.59 N
Explanation:
Applying the second Newton law:
F = m*a
From the attached diagram, the net force in object 1 is:

In object 2:

Adding the two equations:
(eq. 1)
The torque:

Where
I = moment of inertia
α = angular acceleration
If the linear acceleration is

Torque due the tension is equal:

Substituting torque, mass, in equation 1, the expression respect the acceleration is:

Where
W₁ = 75 N
W₂ = 125 N
W = 80 N

The net force is:

Answer: 14.28 m/s
Explanation:
Assuming the girl is spinning with <u>uniform circular motion</u>, her centripetal acceleration
is given by the following equation:
(1)
Where:
is the <u>centripetal acceleration</u>
is the<u> tangential speed</u>
is the <u>radius</u> of the circle
Isolating
from (1):
(2)
<u />
Finally:
This is the girl's tangential speed
Answer:
Explanation:
Given
Temperature of gas 
Volume of gas 
no of moles of gas 
Using Ideal gas Equation to find the Pressure of gas

where P=Absolute Pressure
V=Volume
R=Universal gas constant
T=Temperature



And we know Atmospheric Pressure is 
Therefore Gauge pressure is given by


