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
Olenka [21]
3 years ago
8

A single mass (m1 = 3.5 kg) hangs from a spring in a motionless elevator. The spring constant is k = 278 N/m. 1)What is the dist

ance the spring is stretched from its unstretched length?
Physics
1 answer:
artcher [175]3 years ago
3 0
<h2>Answer:</h2>

0.126m

<h2>Explanation:</h2>

According to Hooke's law, the force (F) acting on a spring to cause an extension or compression (e) is given by;

F = k x e            -------------------(i)

Where;

k = the spring's constant.

From the question, the force acting on the spring is the weight(W) of the mass. i.e

F = W               -----------------------(ii)

<em>But;</em>

W = m x g;

where;

m = mass of the object

g = acceleration due to gravity [usually taken as 10m/s²]

<em>From equation (ii), it implies that;</em>

F = W = m x g

<em>Now substitute F = m x g into equation(i) as follows;</em>

F = k x e

m x g = k x e      ------------------(iii)

<em>From the question;</em>

m = m1 = 3.5kg

k = 278N/m

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

3.5 x 10 = 278 x e

35 = 278e

<em>Now solve for e;</em>

e = 35/278

e = 0.126m

Therefore, the distance the spring is stretched from its unstretched length (which is the same as the extension of the spring) is 0.126m

You might be interested in
Undersoil electrical heating systems are used in greenhouses. This system could also be
Nata [24]

Answer:t

Explanation:

Given that,

Power output is

P = 0.50kW = 0.5 × 1000 = 500W.

We want to find energy transfer in

t = 2minutes = 2 × 60 = 120 seconds

Also, time to hour

t = 2/60 = 1/30 hour

Power is the rate of energy.

Therefore,

Power = energy / time taken

Energy = power × time taken

Energy = 0.5kW × 1/30 hr

Energy = 0.01667 kWh

Also, energy in Joule

Energy = power × time

Energy = 500W × 120s

Energy = 60,000J

Energy = 60kJ.

4 0
3 years ago
Self-fulfilling prophecy is a primary example of the capability of language to .
Daniel [21]
<span>Self-fulfilling prophecy is a primary example of the capability of language to
 Influence.</span>
3 0
3 years ago
Where in your house do you find radio waves
WITCHER [35]

theyre found from your microwave

4 0
3 years ago
Read 2 more answers
A 210-kg woorden raft floats on a lake. When a 75-kg man stands on the raft, it sinks 5.0 cm deeper into the water. When he step
GaryK [48]

Answer:

A: The frequency of the vibration is 1.3329 Hz

B: The total energy of the vibration is  18.39375 J

Explanation:

The force of the man his weight causes the raft to sink, and that causes the water to put a larger upward force on the raft.  This extra force is a restoring force, because it is in the opposite direction of the force put on the raft by the man.  Then when the man steps off, the restoring force pushes upward on the raft, and thus the raft – water system acts like a spring, with a spring constant found as follows:

k= F/x = ((75 kg) * (9.81 m/s²))/(5*10^-2 m) = 14715 N/m

The frequency of the vibration is determined by the spring constant (k) and the mass of the raft (210kg).

fn = 1/2π * √(k/m)  = 1/2π * √(14715 / 210) = <u>1.3329 Hz</u>

<u>The frequency of the vibration is 1.3329 Hz</u>

<u />

<u>b) </u>

Since the gravitational potential energy can be ignored, the total energy will be :

Etot = 1/2 k* A² = 1/2 * (14715 )*(0.05)² = 18.39375 J

<u>The total energy of the vibration is  18.39375 J</u>

7 0
3 years ago
Earth’s atmosphere traps energy from the sun. Which is a direct result of the trapping of energy by Earth’s atmosphere?
GarryVolchara [31]

Answer:

Earth's atmosphere traps energy from the sun. Which is a direct result of the trapping of energy by earth's atmosphere? Earth has moderate temperatures.

Explanation:

7 0
3 years ago
Other questions:
  • Swimming is a great way to improve cardiovascular/respiratory health.
    7·1 answer
  • An object is moving in the absence of a net force. Which of the following best describes the object’s motion? A. The object will
    15·1 answer
  • You are working for a craft store in the manufacturing department. The craft store does an excellent business selling frames for
    7·1 answer
  • if an electron in an electron beam experiences a downward force of 2.0x10^-14N while traveling in a magnetic field of 8.3x10^-2T
    10·1 answer
  • Your boat runs aground at high speed. What should you do FIRST?
    11·1 answer
  • Mitchell records the amount of time a toy car takes to travel down a ramp one time for each of four slope angles. His lab
    8·1 answer
  • Arrange the homeostasis process in the right sequence.
    10·1 answer
  • Greek philosophers such as Demoncritus and Aristotle had ideas about the composition of matter. For example, Demoncritus believe
    8·1 answer
  • What is the volume of 2400kg of gasoline (petrol) if the density of petrol is 0.7g/km3
    10·1 answer
  • How are asteroids and comets similar? (1 point)
    10·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!