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
BabaBlast [244]
3 years ago
12

A ductile metal wire has resistance R. What will be the resistance of this wire in terms of R if it is stretched to three times

its original length, assuming that the density and resistivity of the material do not change when the wire is stretched. (Hint: The amount of metal does not change, so stretching out the wire will affect its cross-sectional area.)
Physics
1 answer:
Ira Lisetskai [31]3 years ago
6 0

Answer:

9R

Explanation:

We know that the resistance is R=\rho *\frac{L}{A}.

If we stretch the wire to a new length L2 = 3L, the cross-sectional area will also change. If the cross-sectional area doesn't change throughout the wire, we can say that:

Volume = L*A = 3L * A2    being A2 the new area after stretching the wire.

Since the volume remains the same we conclude that A2 = A/3

With this information, we calculate the new resistance:

R2=\rho *\frac{L2}{A2}=\rho *\frac{3*L}{A/3}=\rho * 9 * \frac{L}{A}

Since R=\rho *\frac{L}{A}, and by simple inspection of the previous equation, we get:

<em>R2 = 9*R</em>

You might be interested in
A device that transforms stored chemical energy into electrical energy is a(n)
xz_007 [3.2K]
I think c not 100% sure tho
8 0
3 years ago
Read 2 more answers
A spring, when compressed 0.20 m from the equilibrium position, stores 24 J. What is the value of the spring constant
Delvig [45]

Given that:

spring compressed ( x) = 0.2 m

                        Work (W) = 24 J

 determine , spring constant (x)=?

               We know hat ,

                      Work   (W) = (1/2). k.x²

                                   24 = 1/2 ( k × 0.2²)

                                     48 = k × 0.2²

                                      <em> k = 1200 N/m</em>

3 0
3 years ago
Derive an equation of motion s=ut+1/2at2 for an object moving in straight line​
igor_vitrenko [27]

Answer:

sut12at2

Explanation:

sorry just need points

5 0
3 years ago
Limestone is an example of
inessss [21]
A. A clastic Sedimentary rock
7 0
3 years ago
A charged particle having mass 6.64 x 10-27 kg (that of a helium atom) moving at 8.70 x 105 m/s perpendicular to a 1.30-T magnet
Fiesta28 [93]

Answer:

the charge of the particle is 2.47 x 10⁻¹⁹ C

Explanation:

Given;

mass of the particle, m = 6.64 x 10⁻²⁷ kg

velocity of the particle, v = 8.7 x 10⁵ m/s

strength of the magnetic field, B = 1.3 T

radius of the circle, r = 18 mm = 1.8 x 10⁻³ m

The magnetic force experienced by the charge is calculated as;

F = ma = qvB

where;

q is the charge of the particle

a is the acceleration of the charge in the circular path

a = \frac{v^2}{r} \\\\ma = qvB\\\\q = \frac{ma}{vB} \\\\q = \frac{mv^2}{rvB} = \frac{mv}{rB} \\\\q = \frac{(6.64\times 10^{-27} ) \times (8.7\times 10^5)}{(1.8\times 10^{-2}) \times (1.3)} \\\\q = 2.47 \ \times 10^{-19} \ C

Therefore, the charge of the particle is 2.47 x 10⁻¹⁹ C

6 0
3 years ago
Other questions:
  • A hole is to be drilled in the plate at A. The diameters of the bits available to drill the hole range from 12 to 24 mm in 3-mm.
    12·1 answer
  • Which elements have similar behavior? barium silicon aluminum strontium osmium beryllium
    6·2 answers
  • Which describes a reflected image in a plane mirror
    5·2 answers
  • An office window has dimensions 3.7 m by 2.1 m. As a result of the passage of a storm, the outside air pressure drops to 0.972 a
    11·1 answer
  • A list of 5 aerobic fitness benefits
    14·1 answer
  • On your first trip to Planet X you happen to take along a 290 g mass, a 40-cm-long spring, a meter stick, and a stopwatch. You'r
    12·1 answer
  • A 2.55-m-long rod, as measured in its rest frame, speeds by you longitudinally at 6.11Ã10^7. You measure its length as it passes
    5·1 answer
  • 5. The measurement of the amount of friction a surface will generate is called the ___
    14·1 answer
  • Pls someone help me
    7·1 answer
  • How far should flammable material be kept from electrical panels?
    8·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!