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
Verdich [7]
2 years ago
8

Consider two massless springs connected in parallel. Springs 1 and 2 have spring constants k1 and k2 and are connected via a thi

n, vertical rod. A constant force of magnitude F is being exerted on the rod. The rod remains perpendicular to the direction of the applied force so that the springs are extended by the same amount. Find the effective spring constant k of the two-spring system. Give your answer for the effective spring constant in terms of k1 and k2.
Physics
1 answer:
77julia77 [94]2 years ago
3 0

Answer:

k1 + k2

Explanation:

Spring 1 has spring constant k1

Spring 2 has spring constant k2

After being applied by the same force, it is clearly mentioned that spring are extended by the same amount i.e. extension of spring 1 is equal to extension of spring 2.

x1 = x2

Since the force exerted to each spring might be different, let's assume F1 for spring 1 and F2 for spring 2. Hence the equations of spring constant for both springs are

k1 = F1/x -> F1 =k1*x

k2 = F2/x -> F2 =k2*x

While F = F1 + F2

Substitute equation of F1 and F2 into the equation of sum of forces

F = F1 + F2

F = k1*x + k2*x

= x(k1 + k2)

Note that this is applicable because both spring have the same extension of x (I repeat, EXTENTION, not length of the spring)

Considering the general equation of spring forces (Hooke's Law) F = kx,

The effective spring constant for the system is k1 + k2

You might be interested in
flat sheet is in the shape of a rectangle with sides of lengths 0.400 mm and 0.600 mm. The sheet is immersed in a uniform electr
Ksenya-84 [330]

Answer:

6.29591\times 10^{-6}\ N/C^2

Explanation:

Flux is given by

\phi=EAcos\theta

A = Area

A=0.4\times 10^{-3}\times 0.6\times 10^{-3}

E = Electric field = 76.7 N/C

Angle is given by

\theta=90-20\\\Rightarrow \theta=70^{\circ}

\phi=76.7\times 0.4\times 10^{-3}\times 0.6\times 10^{-3}\times cos70\\\Rightarrow \phi=6.29591\times 10^{-6}\ N/C^2

The flux through the sheet is 6.29591\times 10^{-6}\ N/C^2

6 0
2 years ago
Jupiter is made of gas(like Saturn, Uranus and Neptune). What would happen to the strength of gravity if you
garik1379 [7]

Answer:

a) The strength of gravity decreases if one moved away from Jupiter

b) The strength of gravity increases if one fell into Jupiter

Explanation:

The gravitational attraction is given by Newton law of gravitation as follows;

Force \ (strength) \ of \ gravity = \dfrac{G \times M \times m}{R^2}

Where;

G = The universal gravitational constant = 6.67408 × 10⁻¹¹ m³/(kg·s²)

M = The mass of Jupiter

m = The mass of the nearby body

R = The distance between the centers of Jupiter and the body

From the equation, we have that the gravitational strength varies inversely with the square of the separation distance between two bodies

Therefore, as one moves away, R increases, and the strength of gravity reduces

Similarly as the body falls into Jupiter, R, reduces the gravitational strength increases.

7 0
2 years ago
How do you work out how many atoms there are in a isotope?
GalinKa [24]
206Pb = 1.342 x10^22 atoms 

<span>To find the number of atoms, you must first find the number of moles. If 238U is 238.029g/mol, and we have 1.75 grams, how many moles is that? 1.75 divided by 238.029 = 0.007352045 moles. To find the number of atoms in 0.007352045 moles, you multiply by a mole: </span>
<span>0.007352045 x 6.02 x 10^23 = 4.426 x10^21 atoms. </span>

<span>Same procedure for 206Pb: </span>
<span>4.59 divided by 205.97446 = 0.022284316 moles </span>
<span>0.022284316 x 6.02 x 10^23 = 1.342 x10^22 atoms. </span>

<span>Hope that helps you!
https://answers.yahoo.com/question/index?qid=20100331153014AAoMXcu
</span>
4 0
3 years ago
A thin coil has 17 rectangular turns of wire. When a current of 4 A runs through the coil, there is a total flux of 5 ✕ 10−3 T ·
Alex73 [517]

Answer:

Inductance, L = 0.0212 Henries

Explanation:

It is given that,

Number of turns, N = 17

Current through the coil, I = 4 A

The total flux enclosed by the one turn of the coil, \phi=5\times 10^{-3}\ Tm^2

The relation between the self inductance and the magnetic flux is given by :

L=\dfrac{N\phi}{I}

L=\dfrac{17\times 5\times 10^{-3}}{4}

L = 0.0212 Henries

So, the inductance of the coil is 0.0212 Henries. Hence, this is the required solution.

7 0
3 years ago
PLEASE HELP ONLY 5 QUESTIONS
Phantasy [73]
1. b or c
2. c
3. a? or d
4.
5. a
8 0
3 years ago
Read 2 more answers
Other questions:
  • What pressure in units of torr is equal to 1.14 atm of pressure?
    15·1 answer
  • ((HELP!!)) The _______ stage of change occurs when you're aware that a problem exists and are seriously thinking about overcomin
    13·1 answer
  • A gas-powered lawnmower is rated at 98 db. how many times more intense is the sound of this mower than that of an electric-power
    8·1 answer
  • An impala is an African antelope capable of a remarkable vertical leap. In one recorded leap, a 45 kg impala went into a deep cr
    6·1 answer
  • Several books are placed on a table. These books have a combined weight of 25 N and cover an area of 0.05 m2. How much pressure
    5·1 answer
  • Which equation represents a neutralization reaction?
    10·1 answer
  • you can produce a sound by plucking a string or by blowing in a pipe. how are these two ways different?​
    11·1 answer
  • Which describes one event that causes an eclipse?
    5·1 answer
  • if the frequency of a sound wave in air remains constant, its energy can be varied by changing its what
    14·2 answers
  • Think about the way optical fibers are designed. why are the ends of the fibers glowing very brightly while the sides of the fib
    7·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!