1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Ira Lisetskai [31]
3 years ago
15

Consider a household that uses 22.0 kW-hour of electricity per day on average. Most of that electricity is supplied by fossil fu

els. To reduce their carbon footprint, the household wants to install solar panels, which receive on average 376 W/m^2 from the Sun each day.
A) If the solar panels are 18.1% efficient (fraction of solar energy converted into useable electrical energy), what area of solar panels is needed to power the household?
Physics
1 answer:
Lelu [443]3 years ago
3 0

Answer:

A_{net} = 13.469\,m^{2}

Explanation:

The daily energy consumption of the household is:

\Delta E_{day} = (22\,kWh)\cdot (\frac{3600000\,J}{1\,kWh} )

\Delta E_{day} = 79200000\,J

The needed area of solar panel to power the household is:

\Delta E_{day} = \eta\cdot G\cdot A_{net}\cdot \Delta t

A_{net} = \frac{\Delta E_{day}}{\eta\cdot G\cdot \Delta t}

A_{net} = \frac{79200000\,J}{(0.181)\cdot (376\,\frac{W}{m^{2}} )\cdot (86400\,s)}

A_{net} = 13.469\,m^{2}

You might be interested in
An object of mass 6 kg. is resting on a horizontal surface. A horizontal force
son4ous [18]

Answer:

a) The work done by the applied force is 1500 joules.

b) The kinetic energy of the block after 10 seconds is 1200 joules.

c) The magnitude of the force of friction is 3 newtons and its direction is against motion.

d) 300 joules of energy are lost during motion.

Explanation:

a) Since the object has a constant mass, on which a constant horizontal force is exerted. The work done by the force (W), measured in joules, is defined by the following expression:

W = F\cdot \Delta x (1)

Where:

F - Force, measured in newtons.

\Delta x - Distance, measured in meters.

If we know that F = 15\,N and \Delta x = 100\,m, then the work done by the force exerted on the object is:

W = (15\,N)\cdot (100\,m)

W = 1500\,J

The work done by the applied force is 1500 joules.

b) At first we need to calculate the net acceleration of the object (a), measured in meters per square second. By assuming a constant acceleration, we use the following kinematic formula:

\Delta x = v_{o}\cdot t +\frac{1}{2}\cdot a\cdot t^{2} (2)

Where v_{o} is the initial velocity of the object, measured in meters per second.

We clear the acceleration within the equation above:

\frac{1}{2}\cdot a \cdot t^{2} =  \Delta x-v_{o}\cdot t

a = \frac{2\cdot (\Delta x - v_{o}\cdot t)}{t^{2}}

If we know that \Delta x = 100\,m, v_{o} = 0\,\frac{m}{s} and t = 10\,s, then the net acceleration experimented by the object is:

a = \frac{2\cdot \left[100\,m-\left(0\,\frac{m}{s} \right)\cdot (10\,s)\right]}{(10\,s)^{2}}

a = 2\,\frac{m}{s^{2}}

By the 2nd Newton's Law, we construct the following equation of equilibrium under the consideration of a friction force acting against the motion of the object:

\Sigma F = F - f = m\cdot a (3)

Where:

F - External force exerted on the object, measured in newtons.

f - Kinetic friction force, measured in newtons.

If we know that F = 15\,N, m = 6\,kg and a = 2\,\frac{m}{s^{2}}, the kinetic friction force is:

f = F-m\cdot a

f = 15\,N-(6\,kg)\cdot \left(2\,\frac{m}{s^{2}} \right)

f = 3\,N

The work done by friction (W'), measured in joules, is:

W' = f\cdot \Delta x (4)

W' = (3\,N) \cdot (100\,m)

W' = 300\,J

And the net work experimented by the object is:

\Delta W = 1500\,J - 300\,J

\Delta W = 1200\,J

By the Work-Energy Theorem we understand that change in translational kinetic energy (\Delta K), measured in joules, is equal to the change in net work. That is:

\Delta K = \Delta W (5)

If we know that \Delta W = 1200\,J, then the change in translational kinetic energy is:

\Delta K = 1200\,J

The kinetic energy of the block after 10 seconds is 1200 joules.

c) The magnitude of the force of friction is 3 newtons and its direction is against motion.

d) The energy lost by the object is equal to the work done by the force of friction. Therefore, 300 joules of energy are lost during motion.

7 0
3 years ago
Swinging a golf club toward a golf<br> ball and hitting it off the tee.
Vlad1618 [11]

Answer:

sucks cocka-doodle-doooooooo

Explanation:

he likes it jsjsjsjsjsjsjjjsnsns

7 0
2 years ago
Read 2 more answers
What is a force ?????
scoundrel [369]

Answer:

A force is a push or pull upon an object resulting from the objects interaction with another object

7 0
3 years ago
Read 2 more answers
What is your opinion on Moonman? ( Do not delete this saying it is "racist". it is simply a character from a commercial called M
Leni [432]

Answer:

I think hes cool

Explanation:

8 0
3 years ago
Assume the radius of an atom, which can be represented as a hard sphere, is r = 1.95 Å. The atom is placed in a (a) simple cubic
Nuetrik [128]

Answer:

(a) A = 3.90 \AA

(b) A = 4.50 \AA

(c) A = 5.51 \AA

(d) A = 9.02 \AA

Solution:

As per the question:

Radius of atom, r = 1.95 \AA = 1.95\times 10^{- 10} m

Now,

(a) For a simple cubic lattice, lattice constant A:

A = 2r

A = 2\times 1.95 = 3.90 \AA

(b) For body centered cubic lattice:

A = \frac{4}{\sqrt{3}}r

A = \frac{4}{\sqrt{3}}\times 1.95 = 4.50 \AA

(c) For face centered cubic lattice:

A = 2{\sqrt{2}}r

A = 2{\sqrt{2}}\times 1.95 = 5.51 \AA

(d) For diamond lattice:

A = 2\times \frac{4}{\sqrt{3}}r

A = 2\times \frac{4}{\sqrt{3}}\times 1.95 = 9.02 \AA

6 0
3 years ago
Other questions:
  • One of relatively few reactions that takes place directly between two solids at roo temperature is
    5·1 answer
  • What makes silver and gold different by using the terms atom and element
    8·1 answer
  • you kick a soccer ball straight up into the air with a speed of 21.2 m/s how long does it take the soccer ball to reach its high
    5·1 answer
  • The famous clock tower in London has a minute hand that is 14 feet long. How far does the tip of the minute hand of Big Ben trav
    7·2 answers
  • Liquid ammonia (boiling point = –33.4°C) can be used as a refrigerant and heat transfer fluid. How much energy is needed to heat
    9·1 answer
  • A block of a plastic material floats in water with 35.6% of its volume under water. What is the density of the block in kg/m3
    9·1 answer
  • In the southern hemisphere the summer solstice occurs when the sun is
    5·1 answer
  • A sound wave has a frequency of 300 Hz. If the wavelength is .50 m, then what is the speed of
    8·1 answer
  • Every rock that you find must be or have at one time been a/an​
    15·1 answer
  • Demarcus launches a small weight into the air. The weight takes 6.4 seconds to reach the ground again. At what time did the weig
    15·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!