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a_sh-v [17]
3 years ago
13

What electric field strength would store 12.5 JJ of energy in every 6.00 mm3mm3 of space?

Physics
1 answer:
Tcecarenko [31]3 years ago
8 0

To develop this problem we will apply the concepts related to the potential energy per unit volume for which we will obtain an energy density relationship that can be related to the electric field. From this formula it will be possible to find the electric field required in the problem. Our values are given as

The potential energy,  U = 13.0 J

The volume,  V = 6.00 mm^3 = 6.00*10^{-9}m^3

The potential energy per unit volume is defined as the energy density.

u = \frac{U}{V}

u= \frac{(13.0 J)}{(6.00*10^{-9} m^3)}

u= 2.167109 J/m^3

The energy density related with electric field is given by

u = \frac{1}{2} \epsilon_0 E^2

Here, the permitivity of the free space is

\epsilon_0 = 8.85*10^-{12} C^2/N \cdot m^2

Therefore, rerranging to find the electric field strength we have,

E = \sqrt{\frac{2u}{\epsilon_0}}

E = \sqrt{\frac{2(2.167109)}{8.85*10^{-12}}}

E = 2.211010 V/m

Therefore the electric field is 2.21V/m

You might be interested in
Which of the following is a difference between electromagnetic waves and sound waves?
Paul [167]

Answer:

D

Explanation:

A is wrong as otherwise the ocean would be black as light could not pass through it to create images.

B is wrong. This is a weird one as the electromagnetic spectrum attached below shows that radio waves have the least amount of energy vs gamma which has the highest and you can't really compare this to sound waves.

C just straight up false.

D is correct, no way to remember this, just learn it. a couple of facts about transverse waves of google. Electromagnetic waves are a type of transverse waves.  These waves do not require a medium to travel.  As the name of the waves imply, these waves show electrical and magnetic properties.  No any charge occur in the waves.  Electromagnetic waves work by the laws of reflection and refraction.  They travel as straight lines in a vacuum at a speed of 3 x 10 8 ms -1.

Extra info:

As gamma waves have the highest energy it means that the waves are closer together (the wavelength is smaller) and they create more heat. Also gamma waves go through everything, X-ray only through skin and bounces of dense things like bones, which creates images. These eventually weaken more and more until radio waves do not pass through anything and just bounces around and everywhere which allows you to gain more coverage on a radio then on a cell phone.

7 0
3 years ago
The Grinch is trying to push a 5000-kg sled up the side of Mount Crumpit (whose side make an angle of 60 degrees above the horiz
navik [9.2K]

Answer:

Explanation:

height lost h  = 300 sin60

= 259.8 m .

gravitational potential energy = mgh

= 5000 x 9.8 x 259.8

= 1273 x 10⁴ J

Kinetic energy

=  1/2 mv²

= .5 x 5000 x 60²

= 900 x 10⁴ J

there is loss of kinetic energy = 373 x 10⁴ J.

This loss in energy is due to kinetic friction that came into action when the sled slipped downwards.

The lost energy is converted into heat energy or thermal energy.

8 0
4 years ago
A block with a mass of 0.600 kg is connected to a spring, displaced in the positive direction a distance of 50.0 cm from equilib
tankabanditka [31]

Answer:

Explanation:

The amplitude of the oscillation under SHM will be .5 m and the equation of

SHM can be written as follows

x = .5 sin(ωt + π/2) , here the initial phase is π/2 because when t = 0 , x = A ( amplitude) , ω is angular frequency.

x = .5 cosωt

given , when t = .2 s , x = .35 m

.35 = .5 cos ωt

ωt = .79

ω = .79 / .20

= 3.95 rad /s

period of oscillation

T = 2π / ω

= 2 x 3.14 / 3.95

= 1.6 s

b )

ω = \sqrt{\frac{k}{m} }

ω² = k / m

k = ω² x m

= 3.95² x .6

= 9.36 N/s

c )

v = ω\sqrt{(a^2-x^2)}

At t = .2 , x = .35

v = 3.95 \sqrt{.5^2-.35^2}

= 3.95 x .357

= 1.41 m/ s

d )

Acceleration at x

a = ω² x

= 3.95 x .35

= 1.3825 m s⁻²

7 0
3 years ago
A car traveling 28 mi/h accelerates uniformly for 8.9 s, covering 599 ft in this time. what was its acceleration? round your ans
almond37 [142]

Answer:

5.90 ft/s^2

Explanation:

There are mixed units in this question....convert everything to miles or feet

    and hr  to s

28 mi / hr = 41.066 ft/s

Displacement = vo t + 1/2 at^2

         599       =  41.066 (8.9)  + 1/2 a (8.9^2)

                      solve for a = ~ 5.90 ft/s^2

5 0
2 years ago
Calculate the heat gained by 100 grams of ice at -20°C in order to become water at 50°C. ( C = .5 for ice and C = 1 for water, Q
Korvikt [17]

Answer:

6008 cal

Explanation:

m_{i} = mass of ice = 100 g = 0.1 kg

c_{i}  = specific heat of ice = 0.5 cal/(kg°C)

c_{w}  = specific heat of water = 1 cal/(kg°C)

L  = Latent heat of fusion of ice = 80 J/g

T_{i}  = initial temperature of ice = - 20 °C

T_{f}  = final temperature of ice = 50 °C

Q = Heat gained

Heat gained is given as

Q = m_{i} c_{i}(0 - (T_{i}))+ m_{i}L + m_{i}c_{w}(T_{i} - 0)

Q = (100) (0.5) (0 - (- 20))+ (0.1)(80) + (100) (1)(50 - 0)

Q = 6008 cal

8 0
4 years ago
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