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
34kurt
2 years ago
13

The force, F (Newtons), between two objects is inversely proportional to the square of the distance, d (metres), between them.

Mathematics
1 answer:
snow_lady [41]2 years ago
7 0

Answer:

d = 1.46 m

Step-by-step explanation:

We'll begin by obtaining the relationship between the force (F) and the distance (d). This can be obtained as follow:

From the question given above,

F is inversely proportional to square of d. This can be written as:

F ∝ 1/d²

F = K/d²

Cross multiply

K = Fd²

But:

Force (F) = 0.006 N

Distance (d) = 4 m

Constant (K) =?

K = Fd²

K = 0.006 × 4²

K = 0.006 × 16

K = 0.096 Nm²

Therefore, the relationship between the force (F) and the distance (d) is:

F = K/d²

F = 0.096 / d²

Finally, we shall determine the distance when the force is 0.045 N. This can be obtained as follow:

Force (F) = 0.045 N

Constant (K) = 0.096 Nm²

Distance (d) =?

F = K/d²

0.045 = 0.096 / d²

Cross multiply

0.045 × d² = 0.096

Divide both side by 0.045

d² = 0.096 / 0.045

Take the square root of both side.

d = √(0.096 / 0.045)

d = 1.46 m.

You might be interested in
Trisha had the following seven distances (in feet) in the triple jump.
Murrr4er [49]
When you find the mean you add all of them together. Then you divide your answer by how many numbers there are that you added. 

So what I did was add 29+30+28+32+29+31+27= 205
then divide 205 by 7 and you get 29.285
7 0
3 years ago
Read 2 more answers
Sam decides to build a square garden. If the area of the garden is 25x2 + 30x + 9 square feet, what is the length of one side of
seropon [69]
The correct answer is C. (5x+3) feet, and here is how I got it.
This is the equation you need to use:
(a+b)^2 = (a+b) (a+b)
So, let us plug in 5x and 3 here:
(5x+3)^2 = (5x+3)(5x+3) = 25x^2 + 15x + 15x + 9 = 25x^2 + 30x + 9 which is the area of the garden. 
5 0
3 years ago
I think I got it! It's a math problem and I hope you can see and solve this! If you can't, I tried.
denis-greek [22]
I don’t get it but probably the scissors lol
6 0
2 years ago
This math my graduation depends on it
In-s [12.5K]

In an arithmetic sequence, consecutive terms have a fixed distance d between them. If a₁ is the first term, then

2nd term = a₂ = a₁ + d

3rd term = a₃ = a₂ + d = a₁ + 2d

4th term = a₄ = a₃ + d = a₁ + 3d

and so on, up to

nth term = a_n = a_{n-1} + d = a_{n-2} + 2d = a_{n-3} + 3d = \cdots = a_1 + (n-1)d

so that every term in the sequence can be expressed in terms of a₁ and d.

6. It's kind of hard to tell, but it looks like you're given a₁₃ = -53 and a₃₅ = -163.

We have

a₁₃ = a₁ + 12d = -53

a₃₅ = a₁ + 34d = -163

Solve for a₁ and d. Eliminating a₁ and solving for d gives

(a₁ + 12d) - (a₁ + 34d) = -53 - (-163)

-22d = 110

d = -5

and solving for a₁, we get

a₁ + 12•(-5) = -53

a₁ - 60 = -53

a₁ = 7

Then the nth term is recursively given by

a_n = a_{n-1}-5

and explicitly by

a_n = 7 + (n-1)(-5) = 12 - 5n

7. We do the same thing here. Use the known terms to find a₁ and d :

a₁₉ = a₁ + 18d = 15

a₃₈ = a₁ + 37d = 72

⇒   (a₁ + 18d) - (a₁ + 37d) = 15 - 72

⇒   -19d = -57

⇒   d = 3

⇒   a₁ + 18•3 = 15

⇒   a₁ = -39

Then the nth term is recursively obtained by

a_n = a_{n-1}+3

and explicitly by

a_n = -39 + (n-1)\cdot3 = 3n-42

8. I won't both reproducing the info I included in my answer to your other question about geometric sequences.

We're given that the 1st term is 3 and the 2nd term is 12, so the ratio is r = 12/3 = 4.

Then the next three terms in the sequence are

192 • 4 = 768

768 • 4 = 3072

3072 • 4 = 12,288

The recursive rule with a₁ = 3 and r = 4 is

a_n = 4a_{n-1}

and the explicit rule would be

a_n = 3\cdot4^{n-1}

7 0
2 years ago
Sherri bought her daughter a microscope for her birthday. If it cost $79.99 plus 5% tax, how much did she have to pay for it?
Eduardwww [97]

Answer:

Around 84 dollars

Step-by-step explanation:

8 0
2 years ago
Read 2 more answers
Other questions:
  • Help me pleasseeeee!!! its about algebraic properties of limits!
    13·1 answer
  • 7 girls audition for 12 roles in a school play. What is the probability that at least 2 of the girls audition for the same part?
    6·1 answer
  • Which is greater 0.7 or 3/4
    14·2 answers
  • UW = m and WX = y + 14 Write an expression for UX.
    6·1 answer
  • A hairdresser gives between 6 and 20 haircuts in a day. She works six days per week. What is a reasonable estimate of the number
    12·1 answer
  • Help ASAP show work please thank you
    7·1 answer
  • 3х - у = 3 <br> what's the value of y?
    12·2 answers
  • Jamal's lawn is shaped like a square with an area of 224.9 ft? Which measurement is closest to the side length of his
    15·1 answer
  • The lines shown below are parallel. If the green line has a slope of -3/7, what is
    13·1 answer
  • find the area of a circle with a diameter of four. Either enter an exact answer in terms of Pi or use 3.14 for pi as a decimal ​
    7·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!