Why gravitational force at the center og earth is zero

Answers

Answer 1
Answer: F = G Mm/r²
mg = G Mm/r²
g = GM/r²
At centre of earth, r=0
g = GM/0
g =0
Answer 2
Answer:

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Why value of 'g' is zero at center of Earth?

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When we move towards centre of earth, the mass is equally distributed in all directions.

The mass beneath you = Mass in front of you = Mass behind you

Thus, all the gravitational forces applied cancel each other and acceleration due to gravity (g) at centre of earth on centre of earth becomes zero (0).

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The general equation of acceleration due to gravity is;-

g = (GM)/(r^2)

Assuming earth to be a perfect sphere and considering its uniform density.

We make the following adjustments in the following equation.

g = (GM)/(r^2)

Multiplying and dividing RHS by volume 'V'.

g = (GM)/(V) × V × (1)/(r^2)

We know that;-

(M)/(V) = Density, ρ

Therefore,

g = (ρGV)/(r^2)

For sphere;-

V = (4)/(3)πr^(3)

This makes

g = (4)/(3)πr^(3) × (ρG)/(r^2)

g = (4πρG)/(3)

So, at center of Earth

since, r = 0

so, g = 0.

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A negative acceleration means that the speed of the object decreases. Explain why this statement can be incorrect?

Answers

This statement can be incorrect because speed isn't velocity. While the speed is constantly increases, velocity is decreasing. It doesn't depend on direction and this statement could be true only for a velocity. 

A bullet leaves a gun with a horizontal velocity of 100 m/s. Calculate the distance it would travel in 1.3 seconds. a 1247 m
b 0.013 m
c 130 m
d 76.92 m

Answers

Answer:

 Option C is the correct answer

Explanation:

  We have equation of motion , s= ut+(1)/(2) at^2, s is the displacement, u is the initial velocity, a is the acceleration and t is the time.

  In this case initial velocity = horizontal velocity = 100 m/s, acceleration = 0 m/s^2, we need to calculate displacement when time = 1.3 seconds.

  Substituting

      s= 100*1.3+(1)/(2) *0*1.3^2 = 130 meter

    So, bullet will travel a distance of 130 meter  in 1.3 seconds.

Option C is the correct answer

Why do we insulate houses?A. To prevent heat transfer from inside to
the outside
B. To allow energy to flow from inside to
the outside
C. To keep them cool in the winter and
warm in the summer

Answers

B to allow energy to flow from inside to the outside

Is the moon blocking the sun an eclipse of the sun

Answers

Eclipse of the Sun is happen when Moon blocks Sun light and make a shadow of it on earth so the answer is yes.

An object that has a height of 0.4 meter is placed at a distance of 0.7 meter from a concave spherical mirror. An image is formed in front of the mirror and has a height of 0.35 meter. How far from the mirror is the image located?A. 0.2000 m
B. 0.4275 m
C. 0.6125 m
D. 0.8000 m

Answers

Answer

C. 0.6125 m

Explanation

The magnification of an image produced by curved mirrors can be given in two ways;

Magnification, M = (Height of the image) / (height if the object) and

M = (image distance,V) / (Object distance, U).

Using the first formula,

M = 0.35/0.4

= 0.875

Now from the second formula,

M = V/U

0.875 = V/0.7

V = 0.875 × 0.7

= 0.6125 m



Answer : v = 0.1625 m.

Explanation :

It is given that,

Height of an object, h_o=0.4\ m

Object distance, u=-0.7\ m

Height of an image, h_i=0.35\ m

We have to find the image distance (v).

We know that the magnification of mirror is the ratio of height of image to the height of object.

i.e. m=(h_i)/(h_o)..............(1)

Also, magnification is the ratio of image distance to that of object distance.

i.e m=(-v)/(u)............(2)

So, from equation (1) and (2)

(-v)/(u)=(h_i)/(h_o)

(-v)/(-0.7\ m)=(0.35\ m)/(0.4\ m)

v=0.6125\ m

So, image is located at a distance of 0.6125 m.

The pain in the leg that is referred to as "shin splints" is often caused by microtears in the periosteum and perforating fibers. These tears lead to inflammation of the periosteum. Considering the type of tissue found in the periosteum, which cells do you think would be most involved in the repair process?

Answers

Answer:

fibroblast cells

Explanation:

Periosteum is thin connective tissue layer covering the bone. It contains fibroblast cells outside and progenitor cells inside. So, the cells most involved in the repair is fibroblast cells. It is typical type of biological cell that synthesizes matrix and collagen, produces the stroma for animal tissues and plays vital role in healing wounds