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Nastasia [14]
3 years ago
6

Two objects of equal mass are separated by a distance of 0.002 m and force between them is 5000N. Find their mas values in kg?

Mathematics
1 answer:
katrin2010 [14]3 years ago
8 0

The mass of each of the object is 17316.2kg

The force of attraction between two objects of equal mass, m, is given as:

F = \frac{Gm^2}{r^2} \\\\G = 6.67 * 10^{-11} m^3kg^{-1} s^{-1}

The distance between the two objects is:

r  =  0.002 m

The force, F = 5000N

Substitute the values of F, G, and r into the formula above to solve for the mass (m)

5000 = \frac{6.67*10^{-11}m^2 }{0.002^2} \\\\5000*0.002^2=6.67*10^{-11}m^2\\\\m^2 = \frac{5000*0.002^2}{6.67*10^{-11}} \\\\m^2=\frac{0.02*10^{11}}{6.67} \\\\m^2=299850074.963\\\\m = \sqrt{299850074.963} \\\\m = 17316.2 kg

The mass of each of the object is 17316.2kg

Learn more here: brainly.com/question/11931304

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A circle has a center at 4 – 5i and a point on the circle at 19 – 13i. Which of the following points is also on the circle? –11
TiliK225 [7]

To solve the problem we must know about the equation of a circle and complex numbers.

<h2>Equation of circle</h2>

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Radius = \sqrt{(x_2-x_1)^2+(y_2-y_1)^2}

<h2>Complex Number </h2>

Complex Number, z = (x +iy)

Another point that will lay on the same circle is (12 + 10i).

<h2>Explanation</h2>

Given to us

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  • point on the circle = (19 – 13i)

Solution

We know that equation for a circle can be written as,

<h3>Radius of the Circle </h3>

Radius of the Circle

= √(Distance between the center and any point on the circle)²

Radius of the Circle = √[4-19]²+[-5 -(-13)]²

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                                 = √225 + 64

                                 = √225 + 64

                                 = √289

                                 = 17

Now compare the distance between the center of the circle and the points.

<h3>Comparison</h3>

A.)  –11 –3i

Distance between the center and point on the circle

= √[4-(-11)]² + [-5 - (-3)]²

= √[15]² + [-2]²

= √225 + 4

= √229

B.)  –4. 5+3. 5i

Distance between the center and point on the circle

= √[4-(-4.5)]² + [-5 - (3.5)]²

= √[9.5]² + [-8.5]²

= √90.25+ 72.25

= √162.5

C.)  12 + 10i

Distance between the center and point on the circle

= √[4-(12)]² + [-5 - (10)]²

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D.)  21 + 12i.

Distance between the center and point on the circle

= √[4-(21)]² + [-5 - (12)]²

= √[17]² + [-17i]²

= √289+ 289

= √578

Hence, another point that will lay on the same circle is (12 + 10i).

Learn more about Equation of Circle:

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