Answer:
(a). 14.4 lbf/in^2.
(b). 27.8 in, AS THE TEMPERATURE INCREASES, THE LENGTH OF MERCURY DECREASES.
Explanation:
So, from the question above we are given the following parameters which are going to help us in solving this particular Question;
=> The "barometer accidentally contains 6.5 inches of water on top of the mercury column (so there is also water vapor instead of a vacuum at the top of the barometer)"
=> "On a day when the temperature is 70oF, the mercury column height is 28.35 inches (corrected for thermal expansion)."
With these knowledge, let us delve right into the solution;
(a). The barometric pressure = water vapor pressure + acceleration due to gravity (ft/s^2) × water density(slug/ft^3) × {ft/12 in}^3 × [ height of mercury column + specific gravity of mercury × height of water column].
The barometric pressure= 0.363 + {(62.146) ÷ (12^3) × 390.6425}. = 14.4 lbf/in^2.
(b). { (13.55 × length of mercury) + 6.5 } × (62.15÷ 12^3) = 14.4 - 0.603.
Length of mercury = 27.8 in.
AS THE TEMPERATURE INCREASES, THE LENGTH OF MERCURY DECREASES.
The situation that the person is in, if the person has a previous issue with depression, if that person is always happy if they are always sad, if they are colorblind so colors don't activate emotions through the retena
Potential energy E = mgh
m mass
g gravitational constant
mg = weight (in Newton)
h = height (in meter)
Answer:
5..No work is being done.
Explanation:
Hello!
Remember that the concept of work is defined as the force required to move a certain body distance, it is calculated as the product of force by distance.
therefore, the work required to raise the box is 150J.
However, the work required to keep the box lifted without moving is zero since although the box has a force due to the weight it does not move.
Answer:
The car can have a maximum acceleration of 2.55 m/s² without causing the cup to slide.
Explanation:
When the car is in motion, there are two forces acting on the cup. First force is exerted by the car on the cup in its direction of motion and it is given by newton's second law of motion:
F = ma
The second force is the force of friction between the surface of car and the cup. It is given by the formula:
f = μR
where,
R = Normal reaction = weight of cup = W = mg
Therefore,
f = μmg
So, for the cup not to slide, both these forces must be equal or the frictional force must be greater than the car's force. In the last limiting case of equal forces:
F = f
ma = μmg
a = μg
where,
a = maximum possible acceleration of the car for cup not to slide
μ = coefficient of static friction = 0.26
g = acceleration due to gravity = 9.8 m/s²
Therefore,
a = (0.26)(9.8 m/s²)
<u>a = 2.55 m/s²</u>
