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
anastassius [24]
3 years ago
6

What total mass must be converted into energy

Physics
2 answers:
Eduardwww [97]3 years ago
7 0

This question apparently wants you to get comfortable
with  E = m c² .  But I must say, this question is a lame
way to do it.

c = 3 x 10⁸ m/s
                                                    E = m c²

                           1.03 x 10⁻¹³ joule  =  (m) (3 x 10⁸ m/s)²

Divide each side by (3 x 10⁸ m/s)²:

                         Mass = (1.03 x 10⁻¹³ joule) / (9 x 10¹⁶ m²/s²)

                                   =  (1.03 / 9) x (10⁻¹³ ⁻ ¹⁶) (kg)

                                   =        1.144 x 10⁻³⁰  kg .    (choice-1)

This is roughly the mass of (1 and 1/4) electrons, so it seems
that it could never happen in nature.  The question is just an
exercise in arithmetic, and not a particularly interesting one.
______________________________________

Something like this could have been much more impressive:
 
The Braidwood Nuclear Power Generating Station in northeastern
Ilinois USA serves Chicago and northern Illinois with electricity.
<span>The station has two pressurized water reactors, which can generate
a net total of 2,242 megawatts at full capacity, making it the largest
nuclear plant in the state.
If the Braidwood plant were able to completely convert mass
to energy, how much mass would it need to convert in order
to provide the total electrical energy that it generates in a year,
operating at full capacity ?

Energy = (2,242 x 10⁶ joule/sec) x (86,400 sec/day) x (365 da/yr)

             =  (2,242 x 10⁶ x 86,400 x 365) joules

             =          7.0704 x 10¹⁶ joules .

How much converted mass is that ?

                                           E  =  m c²

Divide each side by  c² :    Mass  =  E / c² .
c = 3 x 10⁸ m/s

              Mass = (7.0704 x 10¹⁶ joules) / (9 x 10¹⁶ m²/s²)

                        =        0.786 kilogram ! ! !

THAT should impress us !  If I've done the arithmetic correctly,
then roughly  (1 pound  11.7 ounces) of mass, if completely
converted to energy, would provide all the energy generated
by the largest nuclear power plant in Illinois, operating at max
capacity for a year !

</span>
Lorico [155]3 years ago
5 0
     The equivalence between mass and energy is given by:

E=mc^2
  
     Entering the unknowns, we have:

1.03*10^{-13}=m*(3*10^8)^2 \\ m= \frac{1.03*10^{-13}}{9*10^{16}}  \\ \boxed {m=1.14*10^{-30}Kg}

Number 1

If you notice any mistake in my english, please let me know, because i am not native.
You might be interested in
<img src="https://tex.z-dn.net/?f=%5Chuge%5Cmathfrak%5Cpurple%7Bhello...%7D%20%5C%5C%20%20%5C%5C%20%5Chuge%5Cmathfrak%5Cgreen%7B
andre [41]

Energy is "the ability to do work". Energy is how things change and move. It takes energy to cook food, to drive to school, and to jump in the air. Different forms of Energy. Energy can take a number of different forms.

6 0
3 years ago
Which of the following would most likely cause a decrease in the quality supplied
soldier1979 [14.2K]

AWhich of the following would most likely cause a decrease in the quantity supplied? A decrease in price.

4 0
2 years ago
A particle is moving with SHM of period pie . initially it is 10 cm from The center of the motion and moving in the positive dir
Viefleur [7K]

Answer:

y = 10.44cos(2t - 0.291) cm

Explanation:

y = Acos(2πt/T + φ) = Acos(2πt/π + φ) = Acos(2t + φ)

v = y' = -2Αsin(2t + φ)

10 = Acos(2(0) + φ) = Acosφ

6 = -2Αsin(2(0) + φ) = -2Asinφ

6/10 = -2Asinφ/Acosφ = -2tanφ

tanφ = -0.3

φ = -0.291 radians

10 = Acos(-0.291)

A = 10/cos(-0.291) = 10.44

7 0
3 years ago
On a job application, how should you list the schools you attended?
dusya [7]
B. Starting with most recent
5 0
3 years ago
Read 2 more answers
A pendulum is lifted to a certain height and then released, which causes the
borishaifa [10]

Answer:

Answer is C

Explanation:

Let's say the pendulum starts swinging from its max height from the left. It then will go down and reach the equilibrium position, this will make it lose GPE while gaining KE (the loss in GPE = gain in KE). At the equilibrium position it has the max KE (max velocity) and minimum GPE. After passing the equilibrium it then starts to head up to the max height on the right, the pendulum gains GPE while losing KE and at the top will have minimum KE while having max GPE. Meaning throughout its joruney the total energy remains constant as
Total energy = KE + GPE

I have attached a simple diagram below, the y axis is the energy and x axis being the time (where t = 0 is the pendulum starting from max height left of the equilibrium). The green curve the the GPE and blue curve is KE. Red line shows that at all times the energy is constant.

8 0
2 years ago
Other questions:
  • A 30-gram bullet is fired and a 50-gram bullet is dropped simultaneously from the same height. Which will hit the ground first?
    5·2 answers
  • Lighting from the sun travels through space to earths atmosphere.
    9·1 answer
  • What effect does Earth’s spherical shape have on the amount of sunlight that reaches the equator?
    14·1 answer
  • At room temperature ice will melt while a brass lamp will stay as a solid. This must mean that the melting point of water is ___
    13·2 answers
  • Salma is riding her bicycle. She rides 25.6 kilometers in 4 hours. What is her speed?
    8·1 answer
  • 1. Johnny wants to know where the water line is in a dark well. He drops a penny into the well and counts until he hears the pen
    11·1 answer
  • PLEASE HELPPPPPPPP<br> What is the average velocity of a train that goes 86 km in 1.3 hours?
    10·1 answer
  • When doing a squat, how do you do it without getting hurt?
    5·2 answers
  • A book on a 2-meter high shelf has a mass of 0.4 kg. What is its potential energy?
    5·2 answers
  • A copper coin resting on a piece of cardboard is placed on a beaker as shown in the diagram below. When the cardboard is rapidly
    10·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!