1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Nadusha1986 [10]
3 years ago
11

The weight w of an object varies inversely as the square of the distance d from the center of the earth. At sea level (3978 mi f

rom the center of the earth), an astronaut
weighs 115 lb. Find her weight when she is 271 mi above the surface of the earth and the spacecraft is not in motion.

Her weight is lbs.

(Round the answer to one decimal place.)
Mathematics
1 answer:
hichkok12 [17]3 years ago
4 0

Answer:

100.8lb

Step-by-step explanation:

Firstly , we need to write the proportionality sign.

We were told weight is inversely proportional to distnace from earth's centre, this can be written as follows:

W ∝1/d^2

Removing the proportionality sign, and introducing the constant of proportionality yields:

W = k/d^2

W.d^2 = k

We now calculate the value of this constant as follows ;

115 × (3978)^2 = k

k = 1,819,815,660

We use this value now in calculating her weight above the surface of the earth.

We know she is 271mi above the earth's surface, her distance from the center of the earth would now be = 271 + 3978 = 4,249mi

We now use the relation again to calculate:

W.d^2 = k

w = k/d^2

w = 1,819,815,660/(4249)^2

w = 100.8 lb

You might be interested in
180 °<br> 35 °<br> X °<br><br> X = ? °
just olya [345]

Answer:

x=145°

Step-by-step explanation:

180 = 35 + x

x = 180-35

x= 145°

3 0
3 years ago
UREGENT !! Determine the slope of the given equation: (give the slope as a decimal.)
Aleks [24]

Answer:

0.25

Step-by-step explanation:

4 0
3 years ago
Which table represents a linear function? HELP FAST PLEASE
borishaifa [10]

Answer:

the bottom left

Step-by-step explanation:

A linear function will have a constant slope so the bottom left graph is the only one with a constant slope. The y-values are all increasing by 2.

7 0
2 years ago
Please helpppp<br><br> Extra points and brainleist
vladimir1956 [14]

Answer:

B

Step-by-step explanation:

x² - 4x - 7 = 0

(x - 2)² = 11

5 0
3 years ago
Why are undefined terms necessary in geometry
andrezito [222]
They are building blocks of geometry
5 0
3 years ago
Other questions:
  • If you vertically stretch the exponential function f(x) = 2* by a factor of 5, what
    13·1 answer
  • An athlete trains for 95 min each day for as many days as possible.Write an equation that relates the number of days d that the
    8·1 answer
  • Hi, I’m really struggling with this problem and would love some help!
    13·1 answer
  • Someone please help!
    6·2 answers
  • Which of the following is an improper integral:
    6·1 answer
  • 5980287458q36843872+7747617443402
    7·1 answer
  • NEED HALP PLEAAAASE!!! I REALLY DONT GET THIS-
    14·1 answer
  • Principal: $12,000<br><br> Time: 3 years<br><br> Interest rate: 15%
    13·1 answer
  • Please help me I'm not sure what the answer is
    9·1 answer
  • The cost of 5 scarves is 73.75. what is the unit price
    5·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!