If you were capable of converting mass to energy with 100%, efficiency, how much mass would you need to produce 3.5x10^12 Joules of energy? ​

If You Were Capable Of Converting Mass To Energy With 100%, Efficiency, How Much Mass Would You Need

Answers

Answer 1

Answer:

a) 3.9 x 10⁻⁵ kg

Explanation:

The amount of mass required to produce the energy can be given by Einstein's formula:

[tex]E = mc^2\\\\m = \frac{E}{c^2}[/tex]

where,

m = mass required = ?

E = Energy produced = 3.5 x 10¹² J

c = speed of light = 3 x 10⁸ m/s

Therefore,

[tex]m = \frac{3.5\ x\ 10^{12}\ J}{(3\ x\ 10^8\ m/s)^2} \\\\m = 3.9\ x\ 10^{-5}\ kg[/tex]

Hence, the correct option is:

a) 3.9 x 10⁻⁵ kg


Related Questions

A parallel plate capacitor has a capacitance of 6.78 μF and it is connected to a 12V battery. What is the charge on the capacitor?

Answers

Answer:

8.136×10⁻⁵ J

Explanation:

Applying,

Q = Cv................ Equation 1

Where Q = Charge on the capacitor, v = voltage of the battery, C = capacitance of the capacitor.

From the question,

Given: C = 6.78μF = 6.78×10⁻⁶ F, v = 12 V

Substitute these values into equation 1

Q = (6.78×10⁻⁶ )(12)

Q = 8.136×10⁻⁵ J

Hence the charge on the capacitor is 8.136×10⁻⁵ J

Electronic flash units for camera contain a capacitor for storing the energy used to produce the flash. In one such unit, the flash lasts for 1675s with an average light power output of 2.70 x 105 W . (a) If the conversion of electric energy to light is 95% efficient ( the rest of the energy goes to thermal energy), how much energy must be stored in the capacitor for one flash

Answers

Answer:

420J

Explanation:

Power is the time rate of change in energy. Power is the ratio of energy to time. The S.I unit of power is in watts.

Given that the flash lasts for 1/675 s, power output is 2.7 * 10⁵ W. Hence:

Power = Energy / time

Substituting:

2.7 * 10⁵ W = Energy / (1/675)

Energy = 2.7 * 10⁵ W * 1/675 = 400J

Therefore the energy emitted as light is 400J.

Since the conversion of electric energy to light is 95% efficient, hence the energy stored as electrical energy is:

Energy(capacitor) = 5% of 400J + 400J = 0.05*400 + 400

Energy(capacitor) = 420J

A bus travels to and from a school that is located 10 km to the west. What is the distance? What is the displacement?

Answers

20 km

Hope this helps Have a good day

Which of the following represent units of capacitance? You may choose more than one correct answer:

Ampere
coulomb/volt
coulomb/second
Farad
volt/coulomb

Answers

Answer:

Capacitance is a derived physical quantity measured in farad

Answer:

"Farad" is another term for the coulomb/volt measurement of capacitance, so both of those options are the correct answer. Amperes and coulomb/second are measurements of electric flow, in other words, how strong a current is.

In a warehouse, the workers sometimes slide boxes along the floor to move them. Two boxes were sliding toward each other and crashed. The crash caused both boxes to change speed. Based on the information in the diagram, which statement is correct? In your answer, explain what the forces were like and why the boxes changed speed.
Box 1 has more mass than Box 2.
Box 1 and Box 2 are the same mass.
Box 1 has less mass than Box 2

Answers

Answer:

The second one.

Explanation:

It caused both to change speed because they have both the same mass.

A ball is dropped from rest out of a high window in a tall building for 5 seconds. Assuming the we ignore air resistance and assume upwards to be positive. A) What will be the final velocity of the ball B) What is the height of the building if it hits the ground after those 5 seconds. *​

Answers

Answer:

I am not sure if this is the answer

(B) what is the height of the building if it hits the ground after those 5 seconds.

Answer this Science question NO LINKS !!!!

Answers

Wow same question!!! Nice

What is fundamental unit?​

Answers

Answer:

The fundamental units are the base units defined by International System of Units. These units are not derived from any other unit, therefore they are called fundamental units. The seven base units are: Meter (m) for Length. Second (s) for Time.

Explanation:

I WILL MARK YOU THE BRAINLIEST NO LINKS AND IF YOU DONT UNDERSTAND THE QUESTION DONT ANSWER
Use the table. Is the metal you found gold? How do you know?

Answers

Answer:

Perform a simple test of the material in the pan to assess whether it is real gold. Raw gold appears brassy yellow and bright. If you think it is gold, place your hand between it and the sun to create shade over the gold. If it still appears bright in the pan, chances are that it is real gold.

Explanation:

What Are You Doing With Your Life?

Answers

Answer:

Living it:) thats all

Well I'm still relatively early in the process but I'm trying to aim to success. Right now I've kept my grades high but I need to catch up on some stuff so I've been focused on that. I've dedicated alot of my time to music and arts. I hope to get a job in that field but realistically I know it doesn't pay well. I guess in short I'm trying to make the future of my life easier for myself

Which factor contributes the most to the process of water erosion?
A) evaporation
B) gravity
C) pressure
D) temperature
HELP

Answers

Answer:

Evaporation

Explanation:

Erosion is a natural process, but human activity can make it happen more quickly. Human activity altering the vegetation of an area is perhaps the biggest human factor contributing to erosion. Trees and plants hold soil in place.

Factor that contributes the most to the process of water erosion is Evaporation. The correct option is A.

What is evaporation?

Evaporation is the phenomenon of converting the liquid into gas phase by the addition of heat energy.

Erosion is also a natural phenomenon. Trees and plants hold soil in place and prevents the soil erosion. Just like that, the water erosion happens when more than natural evaporation happens due to increased heat by various factors.

Thus, Evaporation contributes the most to the process of water erosion. The correct option is A.

HELP PLEASE 20 ;OINTS

Answers

I’m pretty sure it’s C.

How much energy is transferred in 10 seconds with a current of 13 amperes and a potential difference of 230 volts?​

Answers

29900 J

Explanation:

Recall that

P = VI

= (230 volts)(13 A)

= 2990 watts

Also,

E = Pt

= (2990 watts)(10 s)

= 29900 J

These two magnets are held close together, as shown. What directions will they move once released?

Answers

I think the magnets will move towards each other due to the opposite poles being attracted to each other

What is the magnification when an object is placed at 2f from the pole of the convex mirror? 

-2/ 3

-3/2

-1

-1/3​

Answers

Answer:

Linear magnification = 1/3

Explanation:

Given:

Convex mirror

Object's distance from pole = 2f

Find:

Linear magnification

Computation:

Object distance, u = −2f

So,

1/v + 1/u = 1/f

1/v + 1/(-2f) = 1/f

1/v = 1/f + 1/2f

BY taking LCM

1/v = 3 / 2f

v = 2f / 3

Magnification, M = -v / u

So,

Magnification, M = (2f / 3) / 2f

Magnification, M = 2f / 6f

Magnification, M = 2 / 6

Linear magnification = 1/3

 

A tire has a tread pattern with a crevice every 2.20 cm. Each crevice makes a single vibration as the tire moves. What is the frequency of these vibrations if the car moves at 38.0 m/s

Answers

Answer:

17.27 Hz

Explanation:

Applying

v = λf................ Equation 1

Where v = speed of the car, λ = Distance between successive crevice, f = number of crevice moved in 1 seconds(Frequency of the vibration)

make f the subject of the equation

f = v/λ............. Equation 2

From the question,

Given: v = 38 m/s, λ = 2.2 m

Substitute these values into equation 2

f = 38/2.2

f = 17.27 Hz

A TV has a power of 65 watts and an efficiency of 70 percent. How much
power is wasted as heat?
A. 19.5 W
B. 2.2 W
C. 0.9 W
D. 45.5 W

Answers

Option A: 19.5 W

Power of TV = 65Watt

If Efficiency = 70%, then the percentage of energy wasted is 30%

So, the amount of energy getting wasted:

= 30/100 × 65

= 1950/100

= 195/10

= 19.5 W

I'm walking 1.6m/s to 7-11 and it started to rain so I sped up to 2.7m/s in 1.2
seconds. What is my acceleration?
a=(vf-viyt
-0.92m/s2
O 01.1m/s2
0.92m/s2
1.1m/s2
1 points
Save A

Answers

Answer:

Explanation:

[tex]a = \frac{v_f-v_0}{t}[/tex] which is the final velocity minus the initial velocity in the numerator, and the change in time in the denominator.  For us:

[tex]a=\frac{2.7-1.6}{1.2}[/tex] so

a = .92 m/s/s (NOT negative because you're speeding up)

What is the equation for speed?
Speed= time + distance
Speed= distance/time
Speed = time/distance
Speed = distance x time

Answers

The 2nd one, Speed = distance/time
2 is the answer to the question

Hey help me and thanks in advance if you do​

Answers

P = W / t

2000 = 30000 / t

t = 30000/2000

t = 30/2

t = 15 seconds

Explanation:

work(w)=30000J

power(p)=2000W

time taken(t)=?

now,

p=w/tt=w/pt=30000/2000t=15 sec

hope it helps.

stay safe healthy and happy.

What is a short circuit?

Answers

Answer:

A short circuit is an abnormal connection between two nodes of an electric circuit intended to be at different voltages. This results in an electric current limited only by the Thévenin equivalent resistance of the rest of the network which can cause circuit damage, overheating, fire or explosion.

hope it helps.Please give me brainliest O:-)

Answer:

A short circuit is an electrical circuit that allows a current to travel along an unintended path with no or very low electrical impedance.

a rocket with an initial velocity of 20 m/s fires another engine that gives it an acceleration of 4 m/s2 over 10 seconds. How far did the rocket travel during this time?

Answers

Answer: 400 m

Explanation:

Vf= 20 + (4*10)

Vf= 60 [m/s]

x= (60^2 - 20^2) / (2*4)

x= 400 m

True or false
scientific research has now proven that atoms are composed of parts that are larger than protons neutrons and electrons

Answers

Answer:

False

Explanation:

parts that are smaller than protons neutrons and electrons

False .......hope this helped you out

expalin how waves energy and matter are related

Answers

They are related because waves affect matter. Reflection, refraction, and diffraction. Reflection occurs when wave bounces back from a surface that they cannot pass through. Refraction occurs when waves bend as they enter a new medium at an angle and start traveling at a different speed.

60.0 kg downhill skier is moving with a speed of 10.0 m/s as she starts her descent from a level plateau at 150.0 meters of height above the base of the slope below. The length of the slope is 650 meters. There is a frictional force of 70 N affecting the skier's motion while she coasts the entire descent without using her poles. Upon reaching the bottom she continues to coast to a stop. How much kinetic energy will she have at the bottom of the hill?

Answers

Answer:

She will have kinetic energy at the bottom of the hill=45700 J

Explanation:

We are given that

Mass, m=60 kg

Speed, v=10 m/s

Height, h=150 m

Length of slope, d=650 m

Frictional force, f=70 N

We have to find the kinetic energy she will have at the bottom of the hill.

Kinetic energy  at the bottom of the hill

=Initial kinetic energy+ mgh-fd

Substitute the values

Kinetic energy  at the bottom of the hill

=[tex]\frac{1}{2}(60)(10)^2+60\times 9.8\times 150-70\times 650[/tex]

=[tex]45700J[/tex]

Hence, she will have kinetic energy at the bottom of the hill=45700 J

An obect is placed 20cm from a convex mirror of focal length 12cm. where does the image form?

Answers

Answer:

7.5 cm behind the mirror

Explanation:

Applying,

Using the real is positive convection: All real distance from the mirror are positive

1/f = 1/v+1/u................. Equation 1

Where f = focal length of the mirror, v = image distance, u = object distance

From the question,

f = -12 cm, u = 20 cm

substitute these value into equation 1

1/(-12) = (1/20)+1/v

(-1/12)-(1/20) = 1/v

1/v = (-5-3)/60

1/v = -8/60

v = -60/8

v = -7.5 cm

Hence the image is formed 7.5 cm behind the mirror.

What is the speed of an aardvark that runs 10 meters every hour?

Answers

Answer:

10m/hr

Explanation:

10m/3600 sec= 1m/360sec

Please help with this question​

Answers

The answer is unbalanced because the numbers 100n and 300n don’t equal each other. If the answer was balanced the numbers would have to equal each other. Also, the answer net force would only be the answer if we were adding the numbers. I hope this helped you! :)

Answer:

the type of force is Unbalanced force;

As upward force is not equal to downward force.

After being struck by a bowling ball, a 1.8 kg bowling pin sliding to the right at 5.0 m/s collides head-on with another 1.8 kg bowling pin initially at rest. Find the final velocity of the second pin in the following situations: a) The first pin moves to the right after the collision at 0.8 m/s. Answer in units of m/s. 010 (part 2 of 2) 10.0 points b) The first pin stops moving when it hits the second pin. Answer in units of m/s

Answers

Answer:

a) v₂ = 4.2 m/s

b) v₂ = 5 m/s

Explanation:

a)

We will use the law of conservation of momentum here:

[tex]m_1u_1+m_2u_2=m_1v_1+m_2v_2[/tex]

where,

m₁ = m₂ = mass of bowling pin = 1.8 kg

u₁ = speed of first pin before collsion = 5 m/s

u₂ = speed of second pin before collsion = 0 m/s

v₁ = speed of first pin after collsion = 0.8 m/s

v₂ = speed of second after before collsion = ?

Therefore,

[tex](1.8\ kg)(5\ m/s)+(1.8\ kg)(0\ m/s)=(1.8\ kg)(0.8\ m/s)+(1.8\ kg)(v_2)\\v_2 = 5\ m/s - 0.8\ m/s[/tex]

v₂ = 4.2 m/s

b)

We will use the law of conservation of momentum here:

[tex]m_1u_1+m_2u_2=m_1v_1+m_2v_2[/tex]

where,

m₁ = m₂ = mass of bowling pin = 1.8 kg

u₁ = speed of first pin before collsion = 5 m/s

u₂ = speed of second pin before collsion = 0 m/s

v₁ = speed of first pin after collsion = 0 m/s

v₂ = speed of second after before collsion = ?

Therefore,

[tex](1.8\ kg)(5\ m/s)+(1.8\ kg)(0\ m/s)=(1.8\ kg)(0\ m/s)+(1.8\ kg)(v_2)[/tex]

v₂ = 5 m/s

Two forces of 8N and 10N CANNOT give a resultant of

a. 1 N
b. 2 N
c. 9 N
d. 18 N

Answers

Answer:

I believe it is D

forgive me if I'm wrong

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