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DENIUS [597]
3 years ago
6

It costs $336.384 to run a given giant screen TV all the time for 365 days. By choosing to use your TV's power-saving feature, t

he average current drawn drops to 0.275 Amps on the same 120 Volt circuit. How much do you save per year by using this feature (cost per kWh is $0.20) versus leaving it on all the time?
Physics
1 answer:
vlabodo [156]3 years ago
3 0

Answer:

The amount saved in a year is $ 278.6.

Explanation:

current, I = 0.275 A

Voltage, V = 120 V

cost = $ 0.20 per kWh

The energy spent in 1 year is given by

E = V I t

E = 120 x 0.275 x 365 x 24 x 3600

E = 1.04 x 10^9 J

1 kWh = 3.6 x 10^6 J

So,

E = 288.9 kWh

So, the cost is

C = $ 0.2 x 288.9 = $ 57.78

So, the amount saved = $ 336.384 - $ 57.78 = $ 278.6  

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(a) Find the magnitude of an earthquake that has an intensity that is 37.25 (that is, the amplitude of the seismograph reading i
MAVERICK [17]

Answer:

The magnitude of an earthquake is 5.6.

Explanation:

The magnitude of an earthquake can be found as follows:

M = log(\frac{I}{S})

Where:

I: is the intensity of the earthquake = 37.25 cm

S: is the intensity of a standard earthquake = 10⁻⁴ cm

Hence, the magnitude is:

M = log(\frac{I}{S}) = log(\frac{37.25}{10^{-4}}) = 5.6

Therefore, the magnitude of an earthquake is 5.6.

I hope it helps you!

6 0
3 years ago
A heat recovery system​ (HRS) is used to conserve heat from the surroundings and supply it to the Mars Rover. The HRS fluid loop
Annette [7]

Answer: Volume of Freon = 12.23.10^{3}L

Explanation: First, the temperatures have to be in the same unit, so all the tmeperatures is transformed into Kelvin:

T₁ = 192K

T₂ = \frac{5}{9}. (F - 32)+273.15

T₂ = \frac{5}{9}. (- 65 - 32)+273.15

T₂ = 219.26K.

Second, BTU is an unit of energy. It can be transformed into Joules by the relation 1BTU = 1055.06J.

Q = 1055.06 . 46.9 = 49482.314J

The letter Q represents Heat and is calculated as Q = m.Cp.ΔT, where:

m is mass of the element;

Cp is the heat capacity specific for each element;

ΔT is the difference between the final and initial temperature;

Third, it will be needed the properties of the Freon:

Freon (CF2Cl2) = 120.91g/mol; Cp = 74J/mol.K; ρ = 1.49kg/m³

Fourth, we calculate the mass of Freon necessary for the remove of 46.9BTU of energy from the system:

Q = m.Cp.ΔT

m=\frac{Q}{c(T-T_{0} )}

m = \frac{49482.314}{74(219.26-192)}

m = 18228.214g or m=18.228Kg

Fifth, using the density of Freon, Volume can be found

ρ = \frac{m}{V}

V = m / ρ

V = 18.228 / 1.49

V = 12.23m³

As SI for density is Kg/m³, the volume found is in m³.

Cubic meters is related to Liters as the following: 1m³=1000l.

So, volume of Freon = 12.23.10^{3}L

The volume of Freon needed is 12.23.10^{3}L.

7 0
3 years ago
A force of 20 N produces an acceleration of 10 m/s² in mass m1 and an acceleration of 5 m/s² in
Scrat [10]

Explanation:

F = 20N m= m1 a=10m/s²

m=m2 a=5m/s²

F = ma

<u>for the first one</u><u>:</u><u> </u>

f=m1 × a

20 = m1 ×10

20=10m1

m1=20/10

m1=2

<u>for</u><u> </u><u>the</u><u> </u><u>second</u><u> </u><u>one</u><u> </u><u>:</u>

f=m2×a

20=m2×5

m2= 20/5

m2= 4

since F=ma

F=(m1+m2) ×a

F =(4+2)×a

F =6×a

F=20(from the question above )

20=6×a

a=20/6

a=3.33

8 0
4 years ago
Read 2 more answers
A student decides to give his bicycle a tune up. He flips it upside down (so there's no friction with the ground) and applies a
aleksklad [387]

Answer:

V=9.2565m/s

Explanation:

From the question we are told that:

Force F = 34 N  

Time t = 0.6 s

Length of pedal l_p=16.5cm \approx0.165m

Radius of wheel r = 33 cm = 0.33 m

Moment of inertia, I = 1200 kgcm2 = 0.12 kg.m2

Generally the equation for Torque on pedal \mu is mathematically given by

\mu=F*L\\\mu=34*0.165

\mu=5.61N.m

Generally the equation for  angular acceleration \alpha is mathematically given by

 \alpha=\frac{\mu}{l}

 \alpha=\frac{5.61}{0.12}

 \alpha=46.75

Therefore Angular speed is \omega

\omega=\alpha*t

\omega=(46.75)*(0.6)

\omega=28.05rad/s

Generally the equation for  Tangential velocity V is mathematically given by

V=r\omega

V=(0.33)(28.05)

V=9.2565m/s

 

5 0
3 years ago
Which title goes with this list: Amendments Articles Preamble?
anastassius [24]
D. City and U.S. Government, but I’m not sure what the context is though.
8 0
3 years ago
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