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kaheart [24]
3 years ago
9

Last week we investigated the black hole at the center of our galaxy, with massMX= 8.5×1036kg. An object whose size is on the or

der of 1 m (it could beyou!) hangs at a distance from the center of the black hole. At what value of is the tidal force between one end of the object and the other greater thanthe gravitational force attracting the object to the black hole
Physics
1 answer:
swat323 years ago
6 0

Answer:

d=2.38*10^{13}m

Explanation:

We know the mass of the hole, so we define as,

M_x= {8.5*10^{36}}kg

For which centripetal force is equal to gravitational force

\frac{mv^2}{r}=\frac{GMm}{d^2}

Angular velocity is equal to v/r,

w^2r=\frac{6.67*10^{-11}*8.5*10^{36}}{d^2}

As r=1 and w=1, we clear to d,

d^2=5.6695*10^{26}m

d=2.38*10^{13}m

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The momentum of the ball when it hits the ground is 4.89 kg.m/s.

The given parameters;

  • <em>mass of the baseball, m = 0.145 kg</em>
  • <em>height of fall of the ball, h = 58 m</em>

The final velocity of the ball when it hits the ground is calculated as follows;

v_f ^2 = v_0^2 + 2gh\\\\v_f^2 = 0 + 2gh\\\\v_f^2 = 2gh\\\\v_f = \sqrt{2gh} \\\\v_f = \sqrt{2\times 9.8 \times 58}\\\\v_f = 33.72 \ m/s

The momentum of the ball when it hits the ground is calculated as follows;

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P = 0.145 x 33.72

P = 4.89 kg.m/s

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The SI unit for pressure is pascal (Pa). One hectopascal would equal how many pascals?
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What is the momentum of a 35–kilogram cart moving at a speed of 1.2 meters/second?
Alexus [3.1K]

Given:-

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We know,

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