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
serg [7]
3 years ago
7

Given that the mass of an average linebacker at Ursinus College is 250 lbs and the radius of a pea is 0.50 cm, calculate the num

ber of linebackers that would be required to be stuffed into the volume of a pea in order to obtain the same density as an alpha particle.
Mathematics
1 answer:
Brilliant_brown [7]3 years ago
7 0

Answer:

1.544*10⁹ Linebackers would be required in order to obtain the same density as an alpha particle

Step-by-step explanation:

Assuming that the pea is spherical ( with radius R= 0.5 cm= 0.005 m), then its volume is

V= 4/3π*R³ = 4/3π*R³ = 4/3*π*(0.005 m)³ = 5.236*10⁻⁷ m³

the mass in that volume would be  m= N*L (L= mass of linebackers=250Lbs= 113.398 Kg)

The density of an alpha particle is  ρa= 3.345*10¹⁷ kg/m³ and the density in the pea ρ will be

ρ= m/V

since both should be equal ρ=ρa , then

ρa= m/V =N*L/V → N =ρa*V/L

replacing values

N =ρa*V/L = 3.345*10¹⁷ kg/m³ * 5.236*10⁻⁷ m³ /113.398 Kg  = 1.544*10⁹ Linebackers

N=1.544*10⁹ Linebackers

You might be interested in
Find the missing side.<br> Round to the nearest tenth.<br> For all 4 pics
Firlakuza [10]

Answer:

1st pic) 17.8

2nd pic) 16.8

3rd pic) 9.1

4th pic) 13.5

Step-by-step explanation:

<u>1st pic:</u> cos = \frac{adjacent}{hypothenuse}

(write equation) Cos 27 (cos 27 = 0.89) = \frac{x}{20}

(new equation) 0. 89 = \frac{x}{20}

(multiply 20 on both sides) 0.89 x 20 = \frac{x}{20} x 20

(solve) 17.8 = x

<u>2nd pic:</u> tan = \frac{adjacentx}{hypothenuse}

(write equation) tan 40 (tan 40 = 0.84) = \frac{32}{x}

(new equation) 0.84 =  \frac{32}{x}

(multiply 32 on both sides) 0.84 x 20 =  \frac{32}{x} x 20

(solve) 16.8 = x

<u>3rd pic:</u> cos = \frac{adjacent}{hypothenuse}

(write equation) cos 55 (cos 55 = 0.57) = \frac{16}{x}

(new equation) 0.57 = \frac{16}{x}

(multiply 16 on both sides) 0.57 x 16 = \frac{16}{x} x 16

(solve) 9.1 = x

<u>4th pic:</u> tan = \frac{adjacentx}{hypothenuse}

(write eqaution) tan 42 (tan 42 = 0.90) = \frac{x}{15}

(new equation) 0.90 = \frac{x}{15}

(multiply 15 on both sides) 0.90 x 15 = \frac{x}{15} x 15

(solve) 13.5 = x

4 0
3 years ago
Find the value of angel 0 to the nearest 10th<br>​
BaLLatris [955]

Answer: 36.9

Step-by-step explanation:

For this question you have to find out whether you are using Sin, Cos or Tan.

To work out which one you are using you can use SOH CAH TOA to help you.

SOH- The 'S' is for Sin, the 'O' and the 'H' is for Opposite over Hypotenuse.

CAH- The 'C' is for Cos and the 'A' and the 'H' is for Adjacent over Hypotenuse.

TOA- The 'T' is for Tan, the 'O' and the 'A is for Opposite over Adjacent.

As you have the Opposite (the side opposite the angle we're looking for) and the Adjacent (the side next to the angle were looking for) we would be using Tan.

So first you would have to write:

Tanθ=3/4

Then because we want Theta (θ) on it's own we would have to do the inverse to 'undo' the equation. Tan-1 is the inverse of Tan.

θ=Tan-1 3/4

To find the answer you would have to put it in your calculator.

θ=36.9

Hope this helps :)

8 0
3 years ago
Evaluate the related series described 4 - 12 + 36 - 108 n=6
Arada [10]

Answer:

11/54 is n did you want it in decimal form 0.2037 bar on top of 03

6 0
3 years ago
PLEASE HELP NEED ASAP WILL MARK THE BRAINLIEST
harkovskaia [24]

Answer:

idk

Step-by-step explanation:

idk

7 0
3 years ago
Josh is mixing together concrete to build a brick wall. He's made 6 gallons of concrete with a mixture of 50% water. The instruc
katrin2010 [14]

Answer:

15%.,..........,..............,.......,..............,...........

3 0
3 years ago
Other questions:
  • Jeff subscribed to cable for 75.00 a month and 140.00 installation andrew has another cable co. For 20.00 installation and 90.00
    9·1 answer
  • HELP PLEASE. Find x &amp; y round answer to the nearest tenth!
    8·1 answer
  • Write the ratio as a fraction in the lowest terms 17 minutes to 3 hours
    15·1 answer
  • The cup, on the 9th hole of a golf course, is located, dead center, in the middle of a circular green, which is 35 feet in radiu
    11·1 answer
  • 4x+17=23. Find the solution to this equation
    8·2 answers
  • 3x – 4y = 12
    14·1 answer
  • Mango mixed 24 ounces of blue paint with 16 ounces of red paint to create a new purple color. In order to create 72 more ounces
    11·1 answer
  • I'm confused lol pls help
    15·1 answer
  • What is the value of the expression shown? 4[4.5 − 2(1.2)]
    7·1 answer
  • What is the slope of the line shown below?
    12·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!