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Akimi4 [234]
4 years ago
14

If the potential in a region is given by the function V = 2 x − y 2 − cos(z), what is the y-component of the electric field at t

he point P = (x ′ , y ′ , z ′ )?
Physics
1 answer:
Bess [88]4 years ago
8 0

Answer:

2y

Explanation:

Electric field in terms of Electric potential is given as:

E = dV/dr(x, y, z)

Where r(x, y, z) = position in x, y, z plane

The y component of the Electric field will be:

Ey = -dV/dy

Given that

V = 2x - y² - cos(z)

dV/dy = -2y

=> E = - (-2y)

E = 2y

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Hope this helped!!
4 0
3 years ago
A key falls from a bridge that is 45 m above the water. It falls directly into a model boat, moving with constant velocity, that
guapka [62]

Answer:

4m/s

Explanation:

The motion is in downward direction, and the boat is moving with constant velocity, the position of the boat horizontally is 12m before the key fall.

The height difference "h"= ( y- y°)= 45 m

We can determine the needed time the key requires to reach the water using the expression from Newton's law

h= v(o) + 1/2 at^2

g= acceleration due to gravity= 9.8m/s^2

h= v(o) + 1/2 gt^2 -------------------------eqn*)

V(o)= 0 for the key= initial velocity

h= height that the key falls= 45m

If we substitute the above values into eqn(*) we have

We can make t^2 subject of the formula since v(0)= 0

t^2= h/(1/2 g)

= 45/(1/2× 9.8)

t^2= 45/4.9=9.18

t= √9.18

t=3.03 secs

Since the boat was moving with constant velocity,

Then Velocity= distance/ time

= 12/3.03

Velocity= 4m/s

Hence, the speed of the boat is 4m/s

7 0
3 years ago
Metals experience plastic deformation when _____.
SOVA2 [1]
THE FORCE IS REMOVED BUT THE BODY DOES NOT RETURN TO ITS' ORIGINAL SHAPE (ALSO CALLED PERMANENT DEFORMATION)
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4 years ago
Which of these choices is the smallest matter
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What are the choices?
5 0
3 years ago
Electromagnetic waves A. All have the same wavelength B. Do not carry energy C. Can travel through empty space D. All have the s
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Electromagnetic waves can travel and carry energy through empty space.
Which is lucky, because that's how we get our heat and light from the Sun.


6 0
3 years ago
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