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
joja [24]
3 years ago
13

A force of 10 lb is required to hold a spring stretched 4 in. beyond its natural length. How much work W is done in stretching i

t from its natural length to 9 in. beyond its natural length
Physics
2 answers:
Sunny_sXe [5.5K]3 years ago
3 0

Answer:

114.44 J

Explanation:

From Hook's Law,

F = ke................. Equation 1

Where F = Force required to stretch the spring, k = spring constant, e = extension.

make k the subject of the equation

k = F/e.............. Equation 2

Given: F = 10 lb = (10×4.45) N = 44.5 N, e = 4 in = (4×0.254) = 1.016 m.

Substitute into equation 2

k = 44.5/1.016

k = 43.799 N/m

Work done in stretching the 9 in beyond its natural length

W = 1/2ke²................. Equation 3

Given: e = 9 in = (9×0.254) = 2.286 m, k = 43.799 N/m

Substitute into equation 3

W = 1/2×43.799×2.286²

W = 114.44 J

elena55 [62]3 years ago
3 0
<h2>Answer:</h2>

11.47J

<h2>Explanation:</h2>

Hooke's law states that the force or load (F) applied to an elastic material (e.g a spring) is directly proportional to the extension or compression (e) caused by the load. i.e

F ∝ e

F = k e          ---------------(i)

where;

k = proportionality constant called the spring or elastic constant.

<em>From the question,</em>

F = Force = 10 lb

[Remember that 1 lb = 4.45 N]        

=> F = 10 x 4.45 N = 44.5 N            

<em>Also;</em>

e = extension = 4 in

[Remember that 1 in = 0.0254 m]

e = 4 x 0.0254 m = 0.1016 m

<em>Substitute these values into equation (i) to get the spring constant of the spring as follows;</em>

44.5 = k x 0.1016

k = \frac{44.5}{0.1016}

k = 439N/m

<em>Now, lets calculate the work done</em>

The workdone W, in stretching a spring from its natural length to some length beyond the natural length, is given by;

W = \frac{1}{2} x k x e²              --------------------(ii)

Where;

k = the spring's constant = 439N/m                      [as calculated above]

e = extension  = 9 in = 9 x 0.0254m = 0.2286m  [Recall: 1 in  = 0.0254m]

<em>Substitute these values into equation (ii) as follows;</em>

W = \frac{1}{2} x 439 x (0.02286)²

W = 11.47 Nm or 11.47J

Therefore, the work done is 11.47J

You might be interested in
Why is it helpful to study the light that comes off stars?
asambeis [7]
 It is helpful to study the light that comes off stars because C. The light from a star gives hints of what elements make up a star.
6 0
3 years ago
In the nineteenth century, Gregor Mendel first determined some basic rules of genetics that have been observed throughout all ty
Dmitry_Shevchenko [17]

Hi!


The correct option would be A) Mendel’s genetics states laws that are now part of the theory of biological evolution.


When Darwin proposed the idea of biological evolution, which revolved around the concept that favorable genes are naturally selected into a species to ensure survival, his theory was criticized as during that time there was the idea that individual traits of two parents would present themselves as a blend in the offspring.

Gregor Mendel's theory of inheritance supported Darwin's idea as it dealt with the transmission of traits in generations through entities called genes, which were present in pairs for a particular trait.


Hope this helps!

9 0
3 years ago
Read 2 more answers
What are the characteristics of high energy waves?
Temka [501]
Amplitude and frequency
4 0
2 years ago
Read 2 more answers
2. A car accelerates uniformly from +10.0 m/s to +50.0 m/s over a distance of 225 m. How long did it take to go that distance? S
artcher [175]
Let's call the constant acceleration a.
At a time t, its speed will thus be v(t)=a*t+v0 where v0 is its initial speed, here 10 m/s. Hence v(t)=a*t+10.

From there we can deduce the position P(t)=a*t^2/2+10t+p0 where p0 is the initial position, here 0.

Hence P(t)=a*t^2/2+10t

Let's call T the time at which it's at 50 m/s, we know that P(T)=225m and that v(T)=50 m/s hence a*T+10=50 thus a=40/T and P(T)=(40/2+10)T=30T

Hence T=225/30=7.5

It took 7.5 seconds


7 0
2 years ago
A distant large asteroid is detected that might pose a threat to Earth. If it were to continue moving in a straight line at cons
Vlada [557]

Answer:

The minimum speed required is 5.7395km/s.

Explanation:

To escape earth, the kinetic energy of the asteroid must be greater or equal to its gravitational potential energy:

K.E\geq P.E

or

\dfrac{1}{2}mv^2 \geq  G\dfrac{Mm}{R}

where m is the mass of the asteroid, R= 24,000,000\:m is its distance form earth's center, M = 5.9*10^{24}kg is the mass of the earth, and G = 6.7*10^{-11}m^3/kg\: s^2 is the gravitational constant.

Solving for v we get:

v \geq \sqrt{\dfrac{2GM}{R} }

putting in numerical values gives

v \geq \sqrt{\dfrac{2(6.7*10^{-11})(5.9*10^{24})}{(24,000,000)} }

\boxed{v\geq 5739.5m/s}

in kilometers this is

v\geq5.7395m/s.

Hence, the minimum speed required is 5.7395km/s.

5 0
3 years ago
Other questions:
  • Discuss what in particular makes the light bulb a non-ohmic resistor. Specifically, how does temperature affect resistance? Can
    8·1 answer
  • A packing crate rests on a horizontal surface. It is acted on by three horizontal forces: 600 N to the left, 200 N to the right,
    6·1 answer
  • A neutral atom of uranium (U) has 146 neutrons and a mass number of 238. How many protons does it have?
    12·2 answers
  • What are the agonist and antagonist muscle of a wrist joint???
    10·2 answers
  • Which explains why more energy is released in nuclear reactions then in chemical reactions
    8·1 answer
  • The speed of a bullet of mass 20 g is 216 kilometre-per-hour what is kinetic energy in joules​
    13·1 answer
  • PLEASE HELP!!! 25 pts!!
    15·2 answers
  • What do fast-twitch and slow-twitch muscle fibers share in common
    10·1 answer
  • A body weighs less inside water​
    7·1 answer
  • A 35.8 kg box initially at rest is pushed 2.38 m along a rough, horizontal floor with a constant applied horizontal force of 108
    7·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!