Answer:
(A) 0.2306 m
(B) 1.467 Hz
(C) 0.1152 m
Explanation:
spring constant (K) = 16.4 N/m
mass (m) = 0.193 kg
acceleration due to gravity (g) = 9.8 m/s^{2}
(A) force = Kx, where x = extension
mg = Kx
0.193 x 9.8 = 16.4x
x = 0.1153 m
now the mass actually falls two times this value before it gets to its equilibrium position ( turning point ) and oscillates about this point
therefore
2x = 0.2306 m
(B) frequency (f) = \frac{1}{2π} x 
frequency (f) = \frac{1}{2π} x 
frequency = 1.467 Hz
(C) the amplitude is the maximum position of the mass from the equilibrium position, which is half the distance the mass falls below the initial length of the spring
= \frac{0.2306}{2} = 0.1152 m
F = ma
We have mass = 20kg
And we need to solve for acceleration
So acceleration is change in velocity over time, in this case we have one velocity and we can assume the man started from rest so
12.3 / 0.9 = a
a = 13.6667
Now we can plug that into F = ma
F = (20)(13.6667)
F = 273.334
Rounding
F = 273.33
Now he is traveling east so we need a force towards the rest, or in the opposite direction to stop his motion.
If we assume east is the positive direction then we need a force of
-273.33 N to stop the man or 273.33 towards the west.
In metric that means multiplying or dividing by 10, 100, 1000, etc. It consists of a partial word like "kilo" or "milli". For example, the prefix "kilo" means "times a thousand" or " one thousand of" the units in question. So "kilometer" means one thousand meters and "kilogram" means one thousand grams.
Answer:
91.21
Explanation:
Kinetic energy =1/2 mv2 substitute the values I. E 1/2 *1 *4.5^2= 91.21
Answer:
Cost= 0.5 $
Explanation:
Coefficient of performance of the air conditioning system is given as
Energy = energy discharged or vented every hour= m c ΔT
Q = heat energy (Joules, J)
m = mass of a substance (kg)
c = specific heat (units J/kg∙K)
∆ is a symbol meaning "the change in"
∆T = change in temperature (Kelvins, K)
therefore
where m = ρV = density of air x volume = 1.20 x 200 x 2.4 = 576Kg
Energy = energy discharged or vented every hour= ρVc ΔT
Q= 576 x 1.005 x 10 = 5760 KJ/hour
therefore=ore 1kw = 3600KJ/hour
Q = 1.6 Kwh
Q = 
Cost = per unit cost x energy vent x no of hours
Cost = 0.1 x 0.5 x 10
Cost= 0.5 $
