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
deff fn [24]
3 years ago
8

A calculator is required to obtain the final answer on this question. A solid metal sphere at room temperature 20oC is dropped i

nto a container of boiling water (100oC). If the temperature of the sphere increases 15o in 9 seconds, find the temperature of the ball after 18 seconds in the boiling water. (Assume the sphere obeys Newton's Law of Cooling.)
Mathematics
1 answer:
yKpoI14uk [10]3 years ago
5 0

Answer:

T = 47.1875°C

Step-by-step explanation:

Given:

Surrounding temp, Ts = 100°C

Initial Temperature ,T0= 20°C

Increase in temperature = 15°C

Final temperature, T = 20 + 15 = 35°C

Time, t = 9 seconds

Let's take Newton's law of cooling:

T - Ts = (T_0 - Ts)e^k^t

We'll solve for k

35 - 100 = (20 - 100)e^9^k

-65 = (-80)e^9^k

Divide both sides by -5

13 = (16)e^9^k

9k = ln (\frac{13}{16})

k = \frac{1}{9} ln (\frac{13}{16})

k = -0.02307104053

Let's now find the temperature of the ball after 18 seconds in boiling water.

Use the Newton's equation again:

T - Ts = (T_0 - Ts)e^k^t

T - 100 = (20 - 100)e^-0.0^2^3^0^7^1^0^4^0^5^3^*^1^8

T - 100 = (-80)e^-0.0^2^3^0^7^1^0^4^0^5^3^*^1^8

T - 100= -52.8125

T = 100 - 52.8125

T = 47.1875°C

Temperature of the ball after 18 seconds in boiling water is 47.1875°C

You might be interested in
Find the slope C(-8,-7) and D (13,-1
DaniilM [7]

So you will use slope formula which is m = (y2 -- y1) / (x2 -- x1)

-1 minus -7=6

13 minus -8=21

Remember it changes to a positive Keep,Change,Change

So its 6/21

Or 1/4

Ask questions if you still need help

:)


3 0
2 years ago
Which of the following is the difference of two squares
Roman55 [17]

Answer:

2nd option

Step-by-step explanation:

A difference of squares has the general form

a² - b²

where the terms on either side of the subtraction ( the difference ) are both perfect squares.

The only one fitting this description is

16a² - 4y²

= (4a)² - (2y)² ← difference of squares

7 0
2 years ago
The probability that a 25-year-old female in the U.S. will die within one year is about 0.000514. An insurance company is prepar
zhannawk [14.2K]

Answer:

Step-by-step explanation:

Expected payment= 0.000514*55000= 28.27

which would round to 29

6 0
3 years ago
Good morning temperature is -15° but the afternoon the temperature raises by 20° right in addition expressions for the afternoon
stealth61 [152]

Answer:

+ 5°

Step-by-step explanation:

Given,

Good morning temperature = -15°

Raise in temperature = 20°

Afternoon temperature = -15° + 20°

           = + 5°

Hence, temperature in after noon is equal to + 5°.

7 0
2 years ago
Whats the answer? A, B, C, or D??
vesna_86 [32]

Answer:

C is the correct answer

6 0
3 years ago
Read 2 more answers
Other questions:
  • A plane is flying at 20,000 feet and the pilot wishes to take the plane 35000 feet. The angle of elevation that should be used i
    15·1 answer
  • Help please guys help
    5·1 answer
  • 2.03-4.60 PLEASE HELP ME
    14·1 answer
  • What are two terms that add together to make -7 and that also multiply to make 6
    13·2 answers
  • HELPPPP!!!! geometry plzzz..... <br> What is the distance between (3,-4) and (8,8) ?
    6·1 answer
  • Help me pleaseeeeeeeeeeee
    8·1 answer
  • Write the word sentence as an inequality:<br><br> A number "x" is no more than 30.
    5·1 answer
  • I need help asap please!!!!
    7·1 answer
  • La tercera parte de la suma entre un numero y 5 es 4<br>Me ayudan?​
    12·1 answer
  • Add.<br><br> −6+(−5)<br><br><br> 11<br><br> −1<br><br> −11<br><br> I don't know.
    8·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!