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
Mars2501 [29]
3 years ago
8

A spring has an unstretched length of 10 cm. it exerts a restoring force f when stretched to a length of 11 cm. part a for what

length of the spring is its restoring force 3f?

Physics
2 answers:
jarptica [38.1K]3 years ago
8 0

The restoring force in the spring will be 3F if it is stretched to a length of \boxed{13\,{\text{cm}}}.

Further Explanation:

When a spring is we compressed or stretched, there is a force which develops in the spring restoring force of the spring which tends to bring the spring back to normal length.

The restoring force of the spring is expressed as:

F= k\cdot\Delta x                            ......(1)

Here, F is the force developed in the spring due to stretching,   is the spring constant and 11\,{\text{cm}} is the change in length of the spring.

\begin{aligned}\Deltax&= {x_f} - {x_i}\\&= 0.10 - 0.11\\&= 0.01\,{\text{m}}\\\end{aligned}

Substitute the values of F and \Delta x in equation (1).

\begin{aligned}F &= k\cdot 0.01\hfill\\k&=\frac{F}{{0.01}} \hfill\\\end{aligned}

The restoring force of 3F is experienced by the spring when the stretched length of the spring should be:

3F = k.\Delta x

Substitute \dfrac{F}{{0.01}} for k in above expression.

\begin{aligned}3F&=\frac{F}{{0.01}} \cdot\Delta x'\\\Delta x' &= 3 \times 0.01\,{\text{m}}\\&=3\,{\text{cm}}\\\end{aligned}

Therefore, the new length of the spring will be:

\begin{aligned}L&={x_o} + \Delta x' \\&= 10\,{\text{cm}} + 3\,{\text{cm}}\\&= 13\,{\text{cm}}\\\end{aligned}

Thus, the restoring force in the spring will be 3F if it is stretched to a length of \boxed{13\,{\text{cm}}}.

Learn More:

1. How far must you compress a spring with twice the spring constant to store the same amount of energy? brainly.com/question/2114706

2. Max and Maya are riding on a merry-go-round that rotates at a constant speed brainly.com/question/8444623

3. It's been a great day of new, frictionless snow. Julie starts at the top of the 60 brainly.com/question/3943029

Answer Details:

Grade: High School

Subject: Physics

Chapter: Work and energy

Keywords:  Spring, unstretched length, compressed, stretched, restoring force, 3F, 11 cm, F=kx, natural length of spring.

rjkz [21]3 years ago
4 0
13 cm
just solved the same question on mastering physics<span />
You might be interested in
Are cells made of tisse?
zepelin [54]

Answer:

Yes

Explanation:

Cells make up tissues. Hope this helped

5 0
3 years ago
Read 2 more answers
What would the color of this star cluster appear to be if you observed it from a distance so great that you could not make out t
makkiz [27]

Answer:

D. blue

Explanation:

4 0
3 years ago
The force measured to move a sled was 10 N and the sled was moved 10 meters,
sergey [27]

Answer:

work done would be I don't know

3 0
3 years ago
Describe the Earth's rotation around the Sun
satela [25.4K]
The Earth's orbit is the path through which the Earth travels around the sun. A complete orbit occurs every 365.256 days, where the Earth is traveling at 940 million km during a single orbit.
8 0
3 years ago
A student applies a 10 N force to a wood block with a mass of 5 kg. The block is pushed across four different surfaces. The acce
Furkat [3]

The complete question is as follows: A student is subjected to a reaction force of 10 N northward from a 5 kg block while pushing the block over a smooth, level surface. Ignoring friction, what is the acceleration of the block?

Answer: The acceleration of the block is 2 m/s^{2}.

Explanation:

Given: Force = 10 N

Mass = 5 kg

It is known that force applied on an object is the product of mass and acceleration.

Mathematically, F = m \times a

where,

F = force

m = mass

a = acceleration

Substitute the values into above formula as follows.

F = m \times a\\10 N = 5 kg \times a\\a = \frac{10}{5}\\= 2 m/s^{2}

Thus, we can conclude that the acceleration of block is 2 m/s^{2}.

8 0
3 years ago
Other questions:
  • What is the meaning of heredity
    11·1 answer
  • The speed of sound in room temperature (20°C) air is 343 m/s; in room temperature helium, it is 1010 m/s. The fundamental freque
    7·1 answer
  • The student soon loses his balance and falls backwards off the board at a velocity of 1.0 m/s. Assuming momentum is conserved in
    5·1 answer
  • Which of these cultures did NOT make major contributions to astronomy?
    13·1 answer
  • 7. Jennifer purchased a video game console plus an
    13·2 answers
  • HELPPP PLS BESTIES A pattern of stars that has been named is called a constellation. One winter evening, Jason found the star ca
    15·1 answer
  • In a thunderstorm, the thunder occurs at the same time as lightning. Explain how does a person hears the thunder 5s after he see
    6·1 answer
  • Can someone help me with this science question like uhm!??!? anyone
    8·1 answer
  • Un cuerpo se desplaza del punto B al punto A. Si la posición del punto A es 77 m y la del punto B es -51 m. El desplazamiento de
    10·1 answer
  • The main reason that rods are more sensitive to light than cones is that
    14·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!