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
hichkok12 [17]
3 years ago
11

A carbon rod with a radius of 2.1 mm is used to make a resistor. The resistivity of this material is 3.2 × 10−5 Ω · m. What leng

th of the carbon rod should be used to make a 13.7 Ω resistor?
Physics
1 answer:
Eduardwww [97]3 years ago
5 0

Answer:

5.93 m

Explanation:

The carbon rod has a radius of 2.1 mm; it can be converted to meter by

1 m = 1000 mm

1 m ÷1000 = 1 mm

2.1 mm = 2.1 × 1 mm = 2.1 ×1÷1000 m = 0.0021 m

using the formula for resistance of a wire

R = ρl÷A, where R is the resistance of the carbon rod in ohms, ρ is resistivity in ohms.m, l is the length of the rod and A is the cross sectional area in m².

A = π r²

Make l the subject of the formula by cross multiplying

RA = ρl

divide both side by ρ

RA÷ρ = ρl÷ρ

RA÷ρ = l

substitute the values in

13.7 × 0.0021 × 0.0021 × 3.142 ÷ 3.2 × 10^-5 = 5.93 m

You might be interested in
The circumference of an orbit for a toy on a string is 18 m and the centripetal force is 12 N. Does the centripetal force do any
Snezhnost [94]

Answer:

Work done is 0.

Explanation:

Given that,

The circumference of an orbit for a toy on a string is 18 m, r = 18 m

Centripetal force, F = 12 N

In the circular path, the centripetal force is always perpendicular to the motion of the object. Thus it makes an angle of 90 degrees with the force and displacement. Hence, we can say that the centripetal force does not do any work on the toy when it follows its orbit for one cycle.

5 0
2 years ago
Read 2 more answers
An iron nail is driven into a block of ice by a single blow of a hammer. The hammerhead has a mass of 0.5 kg and an initial spee
larisa [96]

Answer:

The ice melts mass is:

m_g=7.6x10^{-3} g

Explanation:

Kinetic Energy  

K_E = 1/2*m*v^2

K_E = 1/2*0.5kg*(3.2m/s)^2

K_E=2.56 kg*m^2/s^2

Heat gained by ice= mass(g) x 80 cal

( 1 cal = 4.184 *10^7er or g cm^2/ sec^2)

Assuming no loss in heat,  in the motion so both continue with temperature 0~C

To find so the mass (gm) of ice melted

m_g= 1/2 *(0.5*1000)*(3.2m/s)^2* 100*100 / (80*4.184*10^7)

m_g=7.6x10^{-3} g

5 0
3 years ago
The image shows the displacement of a motorboat. The data table shows the magnitudes of the components of each displacement vect
Diano4ka-milaya [45]
Rx= 3.5 km

Ry= 2.9 km
4 0
3 years ago
Read 2 more answers
Science questions!! Please help!!
kondor19780726 [428]

Answer:

1. b

2. c

3. b

4. a

5. a

6. c

7. c

8. d

7 0
2 years ago
HELP ME PLEASE!!!!!!!!!
Stolb23 [73]

As per the given Figure attached here we know that both charges q1 and q2 will apply same force on charge q3 and hence the resultant force due to both charges will be along Y axis vertically upwards

So here we know that

F = \frac{kq_1q_3}{d_{13}^2}

now from the above equation

F = \frac{(9\times 10^9)(2\times 10^{-6})(4 \times 10^{-6})}{0.5^2}

F = 0.288 N

so both of the charges will apply 0.288 N force on q3 charge along the line joining them

now the net force due to vector sum is given by

F_{net} = 2Fcos\theta

here we know that angle is

\theta = 37 degree

now we have

F_{net} = 2\times 0.288 cos37

F_{net} = 0.46 N

so net force on q3 is 0.46 N vertically upwards along +Y axis

6 0
3 years ago
Other questions:
  • What occurs when large change direction after colliding with particles of matter
    11·1 answer
  • Leyden jars function similarly to modern _____________, which store electric charge in electronic circuitry.
    13·1 answer
  • A book is sitting on a shelf. Unless someone picks it up or something knocks it off, it will continue to sit there. This is beca
    5·2 answers
  • How do Swati and Banks adjust their body position during a skydiving jump so they can fall at the same rate?
    13·1 answer
  • You are wearing earbuds or headphones to listen to your music but your family members can hear it as well. They tell you that it
    8·1 answer
  • What happens when light passes through a prism or diffraction grating?
    11·1 answer
  • ANSWER QUCIK<br> PLS THANK YOU
    11·1 answer
  • NEED HELP NOW. I WILL BRAINLIEST
    8·1 answer
  • I need help with this please thank you!
    12·1 answer
  • What does it mean when something says Expert Verified?<br><br> I am Marking brainliest!
    12·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!