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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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Olivia and Hudson each have an apple. Olivia cuts hers into halves and eats one piece. Hudson cuts his into quarters and eats tw
solmaris [256]

Answer:

They ate the same amount.

Step-by-step explanation:

So Olivia has one apple. She cuts it in to 1/2 pieces. She ate 1 half of it.

Hudson cuts his into 1/4 pieces. He ate 2/4 pieces. 2/4 and 1/2 are equal so they both ate the same amount.

4 0
2 years ago
Read 2 more answers
What is the LCM for (x + 3)2(x – 2) and (x + 3)(x2 – 16)? A. (x + 3) B. (x + 3)(x – 2)(x – 16) C. (x + 3)3(x – 2)(x2 + 16) D. (x
OLga [1]

Answer:

2(x-2)(x+3)(x-8)

Step-by-step explanation:

5 0
3 years ago
Cones A and B are similar.
katen-ka-za [31]

Well it's not possible to find height with knowing cone B's height or radius .Steps provided below if you have pic you can solve by yourself.

  • Radius is similar in both cones.(Ignore it)
  • Height may be different but they must be similar.
  • The ratio of height to volume remains same .
  • Now put the values and solve for height of h
6 0
2 years ago
Read 2 more answers
Standardized Test Practice
Ulleksa [173]

Answer:

8x+6y=48

x+y=7

multiply bottom equation by 6:

8x+6y=48

6x+6y=42

subtract equations:

2x=6

divide 6 by 2:

x=3

therefore:

y=4

6 0
3 years ago
Read 2 more answers
3/4 + -3/8 + -1/4=?<br> Evaluate the expression
Ann [662]

Answer: -1/8

Step-by-step explanation:

3/4 + -3/8 + -1/4

Find the LCM of 4, 8, and 4

That's 8 so you make an equivalent fraction for all fractions so the denominator is 8.

3/4 = 6/8

-3/8 = -3/8

-1/4 = -4/8

Now the expression looks like this:

6/8 + - 3/8 + -4/8

6/8 - 3/8 - 4/8

6/8 - 7/8

-1/8

Hope that helped!

8 0
3 years ago
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