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harkovskaia [24]
3 years ago
8

A couple of astronauts agree to rendezvous in space after hours. Their plan is to let gravity bring them together. She has a mas

s of 64.0kg and he a mass of 76.0kg , and they start from rest 23.0m apart. Find his initial acceleration. Find her initial acceleration. If the astronauts' acceleration remained constant, how many days would they have to wait before reaching each other? (Careful! They both have acceleration toward each other.) Would their acceleration, in fact, remain constant?
Mathematics
1 answer:
Ber [7]3 years ago
7 0
Let's use Newton's Law of Universal Gravitation, which is expressed as<span>F=G<span><span><span>(m1</span><span>m2)/</span></span><span>r2</span></span></span>We can find the force of attraction between them. Then, to find the acceleration from<span>F=<span>m1</span><span>a1</span>  <span>and</span>  F=<span>m2</span><span>a2</span></span>I'll take it you know the equations of motion for constant acceleration. <span>y=<span>1/2</span>a<span>t^2</span></span> Obviously, as they accelerate towards each other, the radius between them decreases, meaning the force of gravitation between them increases, meaning they accelerate faster.
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BaLLatris [955]

The equation of the line is y = -x + 6 if the passes through the point (4, 2).

<h3>What is a straight line?</h3>

A straight line is a combination of endless points joined on both sides of the point.

The slope 'm' of any straight line is given by:

\rm m =\dfrac{y_2-y_1}{x_2-x_1}

The question is incomplete.

The complete question is in the picture, please refer to the attached picture.

It is given that:

From the graph:

The slope of the line g = (0-5)/(-5-0)

= 1

The slope perpendicular to the line g:

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y - 2 = -(x - 4)

y - 2 = -x + 4

y = -x + 6

Thus, the equation of the line is y = -x + 6 if the passes through the point (4, 2).

Learn more about the straight line here:

brainly.com/question/3493733

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The price of an item yesterday was $135 . Today, the price rose to $216 . Find the percentage increase.
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