The elevator has constant acceleration upward
Given that a student that weighs 436 N is standing on a scale in an elevator and notices that the scale reads 498 N.
The formula of force can be derived from the Newton's second law of motion, which states that the force exerted by any object equals mass times the acceleration of that object i.e., F = ma
Net force = mg + ma
498 = 436 + ma
62 = 436 a/ 9.8
a = (62 x 9.8) / 436
a = 1.39 m/s²
Hence, it is clear that the elevator has constant acceleration upward.
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Mean is the same thing as average, so to find this you would add all of the numbers together and divide them by the amount of numbers you added. For example, (6+9+11)/3
Median is the middle number of the list of numbers, but you have to put them in numerical order first. If there is not an exact middle, you would add the middle two together and divide by two.
Mode is the number that occurs most often within the list of numbers.
To develop this problem it is necessary to apply the concepts related to the calculation of the Force through density and volume as well as the ideal gas law.
By definition, force can be expelled as
F = ma
Where,
m = mass
a = Acceleration
At the same time the mass can be defined as function of density and Volume
Therefore if we do a sum in the spherical balloon we have,
Where,
= Force by weight of balloon
= Force by weight of helium gas
= Buoyant force
Re-arrange to find
Our values are given as,
Replacing the values we have,
Applying the ideal gas law we have finally that
Where,
P = Pressure
Density
M_0 Molar mass (0.004Kg/mol for helium)
R= Gas constant
T = Temperature
Substituting
Therefore the absolute pressure of the helium gas is
Answer:
Her real salary has fallen and her nominal salary has risen. The correct option is C
Explanation:
NOMINAL SALARY is defined as the actual amount of money paid to a worker as compensation for work done monthly.
REAL SALARY or wages is defined as the quantity of goods and services an individual can purchase from a monthly income. Therefore it is affected by an increase or decrease in the general price level in an economy( inflation). For instance, if an individual nominal wage is increased by 10% and inflation is 0%( that is, there was no increase in price of goods in the market) then the individuals real wage is increased by 10% too. But if inflation is 10%, then the real wage will be 0% ( meaning the inflation is rising at the same rate with the nominal wage increase).
In the case of the professor, she had $200 increase in her monthly nominal wage and she can buy fewer number of goods and services than she bought last year(increased inflation). Therefore her real salary has fallen because even with the $200 increase, she couldn't buy her usual quantity of goods.
Answer: D. Energy is always conserved
Explanation: The law of energy conservation says that energy is neither created or destroyed, that it is only transferred or transformed from energy. "Conserved" means to maintain a constant overall total, which ties directly into the law of conservation (Energy can't be created nor destroyed, it can only be transferred or transformed from one form to another).