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
OlgaM077 [116]
3 years ago
11

A certain spring stretches 3 cm when a load of 15 n is suspended from it. how much will the spring stretch if 30 n is suspended

from it (and it doesn't reach its elastic limit)?

Physics
2 answers:
Jet001 [13]3 years ago
7 0

Extension of the spring is 6 cm

\texttt{ }

<h3>Further explanation</h3>

<em>Hooke's Law states that the length of a spring is directly proportional to the force acting on the spring.</em>

\boxed {F = k \times \Delta x}

<em>F = Force ( N )</em>

<em>k = Spring Constant ( N/m )</em>

<em>Δx = Extension ( m )</em>

\texttt{ }

The formula for finding Young's Modulus is as follows:

\boxed {E = \frac{F / A}{\Delta x / x_o}}

<em>E = Young's Modulus ( N/m² )</em>

<em>F = Force ( N )</em>

<em>A = Cross-Sectional Area ( m² )</em>

<em>Δx = Extension ( m )</em>

<em>x = Initial Length ( m )</em>

Let us now tackle the problem !

\texttt{ }

<u>Given:</u>

initial extension of the spring = x = 3 cm

initial load = F = 15 N

final load = F' = 30 N

<u>Asked:</u>

final extension of the spring = x' = ?

<u>Solution:</u>

<em>We will use </em><em>Hooke's Law</em><em> to solve this problem:</em>

F : F' = kx : kx'

F : F' = x : x'

15 : 30 = 3 : x'

1 : 2 = 3 : x'

x' = 2 \times 3

\boxed {x' = 6 \texttt{ cm}}

\texttt{ }

<h3>Learn more</h3>
  • Young's modulus : brainly.com/question/6864866
  • Young's modulus for aluminum : brainly.com/question/7282579
  • Young's modulus of wire : brainly.com/question/9755626

\texttt{ }

<h3>Answer details</h3>

Grade: College

Subject: Physics

Chapter: Elasticity

Alik [6]3 years ago
4 0
Initially, the spring stretches by 3 cm under a force of 15 N. From these data, we can find the value of the spring constant, given by Hook's law:
k= \frac{F}{\Delta x}
where F is the force applied, and \Delta x is the stretch of the spring with respect to its equilibrium position. Using the data, we find
k= \frac{15 N}{3.0 cm}=5.0 N/cm

Now a force of 30 N is applied to the same spring, with constant k=5.0 N/cm. Using again Hook's law, we can find the new stretch of the spring:
\Delta x =  \frac{F}{k}= \frac{30 N}{5.0 N/cm}=6 cm
You might be interested in
(a) What is the escape speed on a spherical asteroid whose radius is 545 km and whose gravitational acceleration at the surface
Keith_Richards [23]

Answer:

1777.92 m/s

Explanation:

R = Radius of asteroid = 545 km

M = Mass of planet

g = Acceleration due to gravity = 2.9 m/s²

G = Gravitational constant = 6.67 × 10⁻¹¹ m³/kgs²

Acceleration due to gravity is given by

g=\dfrac{GM}{R^2}\\\Rightarrow M=\dfrac{gR^2}{G}

The expression of escape velocity is given by

v=\sqrt{\dfrac{2GM}{R}}\\\Rightarrow v=\sqrt{\dfrac{2G}{R}\dfrac{gR^2}{G}}\\\Rightarrow v=\sqrt{2gR}\\\Rightarrow v=\sqrt{2\times 2.9\times 545000}\\\Rightarrow v=1777.92\ m/s

The escape speed is 1777.92 m/s

3 0
3 years ago
Read 2 more answers
Magnitude of the normal force exerted by en in the figure below. What is the
vekshin1

Answer:

B

Explanation:

Reason is that the suitcase is exerted downward and when it moves downward the equation is mgsin tita

6 0
2 years ago
Two scientists interpret the same set of data differently. How would the scientific community deal with this problem?
alexdok [17]
The correct answer would be D. A new experiment would be needed to be done in order to test the conclusions. In science there is no authority, data is the only thing that matters. So if we have two different conclusions from the same date the only solution is to perform more tests and more experiments to see what is correct.
7 0
3 years ago
Which statement is not true about radiation
Mekhanik [1.2K]
I don’t know i’m sorry
4 0
2 years ago
How long would it take an object to reach the ground from the top of a building that is 470 feet tall? Round to the nearest tent
Zinaida [17]

Answer:

It would take the object 5.4 s to reach the ground.

Explanation:

Hi there!

The equation of the height of a free-falling object at any given time, neglecting air resistance, is the following:

h = h0 + v0 · t + 1/2 · g · t²

Where:

h = height of the object at time t.

h0 = initial height.

v0 = initial velocity.

g = acceleration due to gravity (-32.2 ft/s² considering the upward direction as positive).

t = time

Let´s supose that the object is dropped and not thrown so that v0 = 0. Then:

h = h0 + 1/2 · g · t²

We have to find the time at which h = 0:

0 = 470 ft - 1/2 · 32.2 ft/s² · t²

Solving for t:

-470 ft = -16.1 ft/s² · t²

-470 ft / -16.1 ft/s² = t²

t = 5.4 s

3 0
3 years ago
Other questions:
  • Describe what it means to view something from a frame of reference. Give an example to illustrate your explanation.
    10·1 answer
  • A small particle starts from rest from the origin of an xy-coordinate system and travels in the xy-plane. Its acceleration in th
    12·2 answers
  • It is estimated that 26 large pizzas are about right to serve 66 students of a physics club meeting. How many pizzas would be re
    11·1 answer
  • How do the magnitudes of the inertial (the density times acceleration term), pressure, and viscous terms in the Navier-Stokes eq
    15·1 answer
  • HURRY PLEASE!!!
    5·2 answers
  • Which statement is true regarding the formation of ionic bonds
    15·1 answer
  • A bullet with mass 4.00 g and speed 650.0 m/s is fired at a block of wood with mass 0.0950 kg. The block rests on a "frictionles
    13·2 answers
  • Which calculates the intensity of an electric field at a point where a 0.50 C charge experiences a force of 20. N?
    5·1 answer
  • Un alumno menciona que al abrir la ventana de su casa sintió cómo el frío ingresaba a su cuerpo. Menciona cuál es la verdadera r
    11·1 answer
  • A glass of root beer with a scoop of ice cream floating on top and a straw sticking out.
    7·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!