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
Vanyuwa [196]
3 years ago
9

Running on a treadmill is slightly easier than running outside because there is no drag force to work against. Suppose a 60 kg r

unner completes a 5.0 km race in 23 minutes.(a) Determine the drag force on the runner during the race. Suppose that the cross section area of the runner is 0.72 m^2 and the density of air is 1.2 kg/m^3.(b) What is this force as a fraction of the runner's weight?
Mathematics
1 answer:
Nat2105 [25]3 years ago
5 0

Answer:

a) Drag force = 5.67 N

b) Fraction of (drag force/weight) = 0.00964 = 0.964% (just less than 1%)

Step-by-step explanation:

Drag force is given by the expression

Drag force = CρAv²/2

C = Drag coefficient of air for an average human moving through air = 1.0

ρ = density of air = 1.2 kg/m³

A = Cross sectional Area of runner facing the air = 0.72 m²

v = velocity of the runner = (5km/23min) = (5000/23×60) = 3.623 m/s

Drag force = 1(1.2)(0.72)(3.623²)/2

Drag force = 5.67 N

b) Runner's weight = mg = 60×9.8 = 588 N

Fraction of (drag force/weight) = (5.67/588) = 0.00964 = 0.964% (just less than 1%)

You might be interested in
5 multiplied by what= -1?
nadya68 [22]
-1/5 multiplied by 5 =-1

6 0
3 years ago
A local pizzeria offers 15 toppings for their pizzas and you can choose any 3 of them for one fixed price. How many different ty
Shtirlitz [24]

Answer:

  455 or 680, depending

Step-by-step explanation:

If we assume the three choices are different, then there are ...

  15C3 = 15·14·13/(3·2·1) = 35·13 = 455

ways to make the pizza.

___

If two or three of the topping choices can be the same, then there are an additional ...

  2(15C2) +15C1 = 2·105 +15 = 225

ways to make the pizza, for a total of ...

  455 + 225 = 680

different types of pizza.

__

There is a factor of 2 attached to the number of choices of 2 toppings, because you can have double anchovies and tomato, or double tomato and anchovies, for example, when your choice of two toppings is anchovies and tomato.

_____

nCk = n!/(k!(n-k)!)

6 0
3 years ago
What is the equation of the line described below written in slope-iWhat is the equation of the line described below written in s
horsena [70]

The equation of a line passing through point (4, -1) and perpendicular to the line whose equation is 2x - y - 7 = 0 is y = -1/2x + 1

<h3>Equation of a line</h3>

A line is the shortest distance between two points. The equation of a line in point-slope form and perpendicular to a line is given as;

y - y1 = -1/m(x-x1)

where

m is the slope

(x1, y1) is the intercept

Given the following

Point = (4, -1)

Line: 2x-y - 7 = 0


Determine the slope

-y = -2x + 7

y= 2x - 7

Slope = 2

Substitute

y+1 = -1/2(x -4)

Write in slope-intercept form

2(y + 1) = -(x - 4)

2y+2 = -x + 4

2y = -x + 2

y = -1/2 + 1

Hence the equation of a line passing through point (4, -1) and perpendicular to the line whose equation is 2x - y - 7 = 0 is y = -1/2x + 1

Learn more on equation of a line here: brainly.com/question/13763238

#SPJ1

4 0
2 years ago
9 * 9 ^ 2 x + 3 equal 27 * 3 ^ x - 2​
Amiraneli [1.4K]

3^2*3^2 (2x+3)=3^2+4x+6=3^4x+8

3^3*3^x-2=3^x+1

4x+8=x+1

3x=-7

x=-7/3

6 0
3 years ago
Which of the following is the equation of a line perpendicular to the line
satela [25.4K]
I think it’s b because idk
6 0
3 years ago
Read 2 more answers
Other questions:
  • PLEASE EXPLAIN WHAT YOU DID!!!!!
    6·1 answer
  • What is the volume of the prism that can be constructed from this net?
    7·2 answers
  • Please Solve: <br> 3 (2x - 14) = -3 (-13 + x). x = __
    15·1 answer
  • The perimeter of an equilateral triangle with a side of 6 inches is
    10·2 answers
  • If you want to show the relationship between two sets of data, you would use a
    6·1 answer
  • In.<br> What is the perimeter of this tile?<br> in2<br> 10 in.<br> 8<br> in.<br> 6<br> in.
    10·1 answer
  • Simplify 1.0-4<br> o<br> 1<br> y
    9·1 answer
  • The length of a rectangular frame is 15 inches, and the width of the frame is 8 inches. What is the length of a diagonal of this
    12·1 answer
  • Select the correct answer.<br> What is the value of g(-4)?
    9·1 answer
  • Find the coordinates of P so that P partitions AB in the ratio 1 to 3 with A(-5, 4) and B(7,-4)
    5·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!