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
nevsk [136]
2 years ago
12

The heat developed in an electric wire varies jointly as the wires resistance, the time the current flows, & the square of t

he current. In two minutes a current of 5 amps develops 1,200 heat units in a wire with a current of 10 amps in 5 minutes?
Mathematics
1 answer:
never [62]2 years ago
5 0

Answer:

4 ohms

Step-by-step explanation:

The question is "In two minutes a current of 5 amps develops 1,200 heat units in a wire of 8 ohms resistance. What resistance does a similar wire have, which develops 6,000 heat units with a current of 10 amps in 5 minutes?"

Current, I₁ = 5 A

Heat, Q₁ = 1200 units

Resistance, R₁ = 8 ohms

Time, t₁ = 2 min = 120 s

New heat, Q₂ = 6000 units

Current, I₂ = 10 A

New time, t₂ = 5 min = 300 s

We need to find the new resistance.

Heat developed is given by :

Q=I^2Rt

\dfrac{Q_1}{I_1^2R_1t_1}=\dfrac{Q_2}{I_2^2R_2t_2}\\\\R_2=\dfrac{Q_2\times I_1^2R_1t_1}{Q_1I_2^2t_2}\\\\R_2=\dfrac{6000\times 5^2\times 8\times 120}{1200\times 10^2\times 300}\\\\=4\ \Omega

So, the new resistance is 4 ohms.

You might be interested in
An awards dinner costs $225 plus $5 for each person making reservations the total bill is $735 how many people attended the dinn
suter [353]

The number of people attended dinner is 102.

<h3>What is an Equation ?</h3>

An equation is a mathematical statement when two algebraic expressions are equated by an equal sign.

It is given in the question that

An awards dinner costs $225 plus $5 for each person making reservations

the total bill is $735

people attended the dinner = ?

Let x number of people attended the dinner

$225 + $5 * x = $735

5x = 735-225

5x = 510

x = 102

Therefore , 102 people attended the dinner.

To know more about Equation

brainly.com/question/10413253

#SPJ1

3 0
2 years ago
7x-5y=-15 and -14x+7y=0 Solve by elimination
geniusboy [140]

Answer: (5,10)

Step-by-step explanation:

multiply first equation with 2 and add it to second to eliminate X

7x-5y=-15  //*2

14x-10y=-30

-14x+7y=0

----------------

-3y=-30

y=-30/-3

y=10

7x=50-15

7x=35

x=35/7

x=5

4 0
3 years ago
Help me with my math
aleksley [76]
No nonononononononono
3 0
3 years ago
How would i multiply 1/4 by 18 what will it be???
Lyrx [107]

Answer:

18/4 or 4  1/2 or 4.5

Step-by-step explanation:

1/4*18/1=18/4

8 0
2 years ago
Read 2 more answers
John will paint the four walls of his rectangular basement. The basement measures 10 feet long, 13 feet wide, and 8 feet high an
Svetlanka [38]

Answer:

D. 1,019 square feet

Step-by-step explanation:

10x13x8 - 3x7

3 0
2 years ago
Other questions:
  • Segment BD is an altitude of triangle ABC. Find the area of the triangle.
    14·2 answers
  • Use the given information to find the minimum sample size required to estimate an unknown population mean μ
    7·1 answer
  • What is the slope and unit rate
    7·1 answer
  • Write two sentences to match this numerical expression:7 times 3
    5·2 answers
  • For a circle with a radius of 6 meters, what is the measurement of a central angle (in degrees) subtended by an arc with a lengt
    14·1 answer
  • What is the volume of a right circular cone with a radius of 3 units and a height of 6 units?​ pleas help asap
    14·1 answer
  • brainliest goes to whoever answers the question correctly also if you want more points answer my other questions
    14·1 answer
  • 2.
    14·2 answers
  • -Solve the following equation -7=-8+|-3+6x|
    6·1 answer
  • PLEASE HELP!!!!!!!!!!!!
    10·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!