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olga2289 [7]
2 years ago
5

A meteor is falling towards the earth. The mass and the radius of the earth is 6×10^24 kg and 6.4×10^3 km respectively. What is

the height of the meteor from the earth surface at which the acceleration due to gravity is 4m/s^2
Physics
1 answer:
joja [24]2 years ago
8 0

Answer:

3600km

Explanation:

gravitational constant is the gravitational attraction between any two things

G = gravitational constant = 6.67 × 10⁻¹¹ Nm²/kg²

g = acceleration due to gravity = 4 m/s²

M = mass of the earth = 6 × 10²⁴

r = radius of Earth + height of meteor

Since F = mg and F = GMm/r², mg = GMm/r²

g = GM/r²

r² = GM/g

r = √(GM/g)

r = √((6.67 × 10⁻¹¹ Nm²/kg²) × (6 × 10²⁴ kg))/(4 m/s²)) =

1 × 10⁷ m = 1 × 10⁴ km

To calculate the height of the meteor above the earth,

subtract the radius of the earth from the calculated radius.

height of meteor = 1 × 10⁴ km - 6 × 10³ km = 4 × 10³ km

quora Meave Gilchrist

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A sealed tank containing seawater to a height of 12.8 m also contains air above the water at a gauge pressure of 2.90 atm . Wate
exis [7]

Answer:

The velocity of water at the bottom, v_{b} = 28.63 m/s

Given:

Height of water in the tank, h = 12.8 m

Gauge pressure of water, P_{gauge} = 2.90 atm

Solution:

Now,

Atmospheric pressue, P_{atm} = 1 atm = 1.01\tiems 10^{5} Pa

At the top, the absolute pressure, P_{t} = P_{gauge} + P_{atm} = 2.90 + 1 = 3.90 atm = 3.94\times 10^{5} Pa

Now, the pressure at the bottom will be equal to the atmopheric pressure, P_{b} = 1 atm = 1.01\times 10^{5} Pa

The velocity at the top, v_{top} = 0 m/s, l;et the bottom velocity, be v_{b}.

Now, by Bernoulli's eqn:

P_{t} + \frac{1}{2}\rho v_{t}^{2} + \rho g h_{t} = P_{b} + \frac{1}{2}\rho v_{b}^{2} + \rho g h_{b}

where

h_{t} -  h_{b} = 12.8 m

Density of sea water, \rho = 1030 kg/m^{3}

\sqrt{\frac{2(P_{t} - P_{b} + \rho g(h_{t} - h_{b}))}{\rho}} =  v_{b}

\sqrt{\frac{2(3.94\times 10^{5} - 1.01\times 10^{5} + 1030\times 9.8\times 12.8}{1030}} =  v_{b}

v_{b} = 28.63 m/s

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A capacitor is made from two hollow, coaxial, iron cylinders, one inside the other. The inner cylinder is negatively charged and
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Answer: 3.12 * 10^12 F ( 3.12 pF)

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By using the Gaussian law

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E=Q/(2*π*εo*r^2)

[Vab]=\int\limits^a_b {E} \, dr

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Then we have:

ΔV= 2*k*(Q/L)* ln (b/a)

replacing the values and using that C=Q/ΔV

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