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
castortr0y [4]
3 years ago
6

A gas fills the right portion of a horizontal cylinder whose radius is 5.33 cm. The initial pressure of the gas is 2.29 x 105 Pa

. A frictionless movable piston separates the gas from the left portion of the cylinder that is evacuated and contains an ideal spring, as the drawing shows. The piston is initially held in place by a pin. The spring is initially unstrained, and the length of the gas-filled portion is 18.9 cm. When the pin is removed and the gas is allowed to expand, the length of the gas-filled chamber doubles. The initial and final temperatures are equal. Determine the spring constant of the spring.
Physics
1 answer:
const2013 [10]3 years ago
7 0

Answer:

k = 5406.88 N/m

Explanation:

Since the initial and final temperatures are constant while the gas expands, the expansion of the gas obeys Boyle's law

Initial gas pressure, P_1 = 2.29 * 10^5 Pa

Let the initial gas volume  V_1 = V

Volume = Length * Area

Since the cross sectional area does not change and the length of the gas-filled chamber is said to double, then the volume also doubles.

V_2 = 2V

The final gas pressure, P_2 will be gotten from the Boyle's law equation

P_1 V_1 = P_2 V_2\\P_2 = \frac{P_1 V_1}{V_2} \\P_2 = \frac{2.29*10^5 * V}{2V}\\P_2 = \frac{2.29*10^5 }{2}\\P_2 = 1.145 *10^5 Pa

The Cross Sectional Area, A = \pi R^2

R = 5.33 cm = 0.0533 m

A = \pi * 0.0533^2 = 0.0089 m²

The force exerted on the piston, F = P₂ A

F = 1.145 * 10⁵ * 0.0089

F = 1021.9 N

To get the spring constant, use Hooke's law

F = k Δx

Where Δx = l₂ - l₁

Δx = 2l - l = l ( since the length of the chamber doubles on expansion)

Δx = 18.9 cm = 0.189 m

F = k Δx

1021.9 = k * 0.189

k = 1021.9/0.189

k = 5406.88 N/m

You might be interested in
What is quantum physics? ​
lara [203]

Answer:

A fundamental theory that provides a description of the physical properties of nature at the scale of atoms and subatomic particles.

Explanation:

5 0
2 years ago
What is the equation that defines work
mina [271]
Work=force*displacment
3 0
3 years ago
Which is a molecule? Select one: a. graphene b. NaCl c. Ne d. trail mix
Ede4ka [16]
What Is A Molecule? B) NaCi
8 0
3 years ago
Read 2 more answers
A bowling ball is rolling in a straight line toward the pins at a speed of 2.2 m/s. Its momentum is 4.75 kg*m/s. What is the
Thepotemich [5.8K]

Answer: m= 2.16 kg

Explanation: Momentum is expressed in the following formula:

p = mv

Derive to find m:

m = p / v

= 4.75 kg.m/s / 2.2 m/s

= 2.16 kg

Cancel out m/s and the remaining unit is in kg.

3 0
3 years ago
Read 2 more answers
I need help please with this question
Sergio039 [100]

Explanation:

it's B =) hhggusucvgaugcavsjssnd

3 0
2 years ago
Other questions:
  • Which substance is used to remove rust from metal?
    11·2 answers
  • Which is a FALSE statement about elements? Select one: a. Each element has its own neutron number. b. Each element has its own a
    9·1 answer
  • Asap pls answer right will mark brainiest ASAP ...
    14·1 answer
  • A cylinder is 0.10 m in radius and 0.20 in length. Its rotational inertia, about the cylinder axis on which it is mounted, is 0.
    12·1 answer
  • a horizontal force of 100N is required to push a crate across a factory floor at a constant speed. What is the net force acting
    8·1 answer
  • A catfish is 1.5 m below the surface of a smooth lake.
    11·1 answer
  • Can Jet Fuel burn through Steel Pipes?
    15·1 answer
  • Plz help!!!<br>urgent!!<br>will give the brainliest!!!​
    5·1 answer
  • The name of the Sl unit for force is the ___?<br><br> A. Joule<br> B. Newton<br> C.Watt
    13·2 answers
  • The graph represents the reaction 3H2 + N2 2NH3 as it reaches equilibrium. Based on the graph, which two statements about this r
    5·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!