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klemol [59]
3 years ago
5

A uniformly charged sphere has a potential on its surface of 450 V. At a radial distance of 8.1 m from this surface, the potenti

al is 150 V. What is the radius of the sphere
Physics
1 answer:
igomit [66]3 years ago
4 0

Answer:

The radius of the sphere is 4.05 m

Explanation:

Given;

potential at surface, V_s = 450 V

potential at radial distance, V_r = 150

radial distance, l = 8.1 m

Apply Coulomb's law of electrostatic force;

V = \frac{KQ}{r} \\\\V_s = \frac{KQ}{r} \\\\V_r = \frac{KQ}{r+ l}

450 = \frac{KQ}{r} ------equation (i)\\\\150 = \frac{KQ}{r+8.1} ------equation (ii)\\\\divide \ equation (i)\ by \ equation \ (ii)\\\\\frac{450}{150} = (\frac{KQ}{r} )*(\frac{r+8.1}{KQ} )\\\\3 = \frac{r+8.1}{r}  \\\\3r = r + 8.1\\\\2r = 8.1\\\\r = \frac{8.1}{2} \\\\r = 4.05 \ m

Therefore, the radius of the sphere is 4.05 m

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Answer:

-6 m/s²

Explanation:

Given:

v₀ = 50 m/s

v = 20 m/s

t = 5 s

Find: a

v = at + v₀

20 m/s = a (5 s) + 50 m/s

a = -6 m/s²

8 0
3 years ago
Nuclear fusion occurs in stars. True or false
Butoxors [25]
<span>nuclear fusion is observed in stars coming from the combination of two hydrogens to form an atom of helium. Fusion means combination of two or more elements. helium is known to fuel energy which in this case, the great sun which is more than a million Kelvin in temperature already today. hence the answer is true.</span>
8 0
3 years ago
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Objects with three very different sizes and weights are dropped off a tower on the moon. which factor of the objects will determ
vovikov84 [41]

4) none of these matter. with no air resistance, they all hit the ground at the same time.​

Explanation:

The motion of the objects is a free fall motion, since the only force acting on them is gravity. Therefore, it is a uniformly accelerated motion with constant acceleration g (acceleration of gravity) towards the ground, and so we can find the time of flight by using the suvat equation:

s=ut+\frac{1}{2}at^2

where

s is the vertical displacement (equal to height of the tower)

u = 0 is the initial velocity

t is the time

a=g is the acceleration

Re-arranging the equation.

t=\sqrt{\frac{2s}{g}}

As we can see, the time of flight depends only on the height of the tower (s) and the acceleration due to gravity (g): therefore, the three objects reach the ground at the  same time.

Learn more about free fall:

brainly.com/question/1748290

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4 0
3 years ago
If electrical current is moving through a horizontal wire toward your face, what direction is the induced magnetic field?
adoni [48]

Answer:(b)

Explanation:

Given

Electric current flowing through the horizontal wire towards the observer's face.

The direction of the magnetic field is given by the right-hand thumb rule, i.e. place the thumb in the direction of current and the wrapping of fingers will give the direction of the magnetic field

the direction of the magnetic field will be counterclockwise as observed by an observer.

4 0
3 years ago
A doubly ionized molecule (i.e., a molecule lacking two electrons) moving in a magnetic field experiences a magnetic force of 5.
Kobotan [32]

Explanation:

The given data is as follows.

           F = 5.75 \times 10^{-16} N

          q = 1.6 \times 10^{-19} C

          v = 385 m/s

       sin (63.9^{o}) = 0.876

Now, we will calculate the magnitude of magnetic field as follows.

              B = \frac{F}{qv sin (\theta)}

                  = \frac{5.75 \times 10^{-16} N}{1.6 \times 10^{-19} C \times 385 m/s \times 0.876}

                  = 0.01065 \times 10^{3} T

                  = 10.65 T

Thus, we can conclude that magnitude of the magnetic field is 10.65 T.

4 0
3 years ago
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