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cricket20 [7]
4 years ago
9

Approximately how many asteroids that are 0.98 km in radius would it take to make a planet which has a radius of 6420.0 km

Physics
1 answer:
maria [59]4 years ago
5 0

Answer:

It'd take approximately 6543 asteroids.

Explanation:

In order to calculate the number of asteroids needed to make that planet we first need to determine the volume of each object. To do this we will consider them as spheres and apply the appropriate formula:

V_{asteroid} = \frac{4*\pi*0.98}{3} = 4.11  \text{ km}^3

V_{planet} = \frac{4*\pi*6420}{3} = 26892.03 \text{ km}^3

The number of asteroids needed are given by the division of planet's volume by the asteroid's volume.

n = \frac{26892.03}{4.11} = 6543.07

It'd take approximately 6543 asteroids.

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The electrostatic force between two charged objects is given by
F=k \frac{q_1 q_2}{r^2}
where
k is the Coulomb's constant
q1 is the charge of the first object
q2 is the charge of the second object
r is the separation between the two objects

In our problem:
q_1=+5.0 \cdot 10^{-6} C
q_2 = +2.0 \cdot 10^{-6} C
r=0.5 m
So if we plug these numbers into the equation, we can find the electrostatic force between the two objects:
F=(8.99 \cdot 10^9 Nm^2C^{-2}) \frac{(5.0 \cdot 10^{-6} C)(2.0 \cdot 10^{-6}C)}{(0.5 m)^2}=0.36 N
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Completed question:Suppose one speaker is driven at 570 Hz and the other at 554 Hz. What is the beat frequency in Hz? The average frequency in Hz?

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Explanation:

Beat frequency f = f2-f1

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