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zepelin [54]
3 years ago
9

A model of a spring/mass system is 4x'' + e−0.1tx = 0. By inspection of the differential equation only, discuss the behavior of

the system over a long period of time.
Physics
1 answer:
Delicious77 [7]3 years ago
4 0

Answer:

Displacement becomes constant

Explanation:

We know that exponential raised to power infinity (when time is long) equals to zero hence the model system will be e^{-0.1t} = 0 as t tends to infinity

4x'' + e−0.1tx = 0

When t tends to infinity

4x'' = 0

Integrating the above equation we get

4x'=c

Integrating it another time we get

4x=cx+d

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The lowest note on the piano has the longest string to vibrate. How does the lowest note compare if you consider the column of a
SashulF [63]
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3 0
4 years ago
I was playing goalie in a soccer league and made a save. The ball was traveling at 14 m/s and has a mass of 0.45 kg. How muck ki
Zigmanuir [339]

Answer:

Kinetic energy = 44.1 J

Explanation:

Given:

Velocity of ball = 14 m/s

Mass of ball = 0.45 kg

Find:

Kinetic energy

Computation:

An item's kinetic energy is force it has as a result of its motion. It is the amount of work necessary to move a body of a known volume from rest to a specified velocity.

Ke = (1/2)(m)(v²)

Ke = (1/2)(0.45)(14²)

Ke = (1/2)(0.45)(196)

Kinetic energy = 44.1 J

6 0
3 years ago
Which of these forces pull or push upward, and which pull or push downward? Explain.
PtichkaEL [24]

Answer:

A force is a push or pull that acts upon an object as a result of that objects interactions

Explanation:

8 0
4 years ago
A car accelerates uniformly from rest and reaches a speed of 22.0 m/s in 9.00 s. Assuming the diameter of a tire is 58.0 cm, (a)
Virty [35]

Answer:

Explanation:

Given:

Initial velocity, u = 0 m/s (at rest)

Final velocity, v = 22 m/s

Time, t = 9 s

Diameter, d = 58 cm

Radius, r = 0.29 m

Using equation of motion,

v = u + at

a = (22 - 0)/9

= 2.44 m/s^2

v^2 = u^2 + 2a × S

S = (22^2 - 0^2)/2 × 2.44

= 99.02 m

S = r × theta

Theta = 99.02/0.29

= 341.44 °

1 rev = 360°

341.44°,

= 341.44/360

= 0.948 rev

= 0.95 rev

B.

Final angular speed, wf = v/r

= 22/0.29

= 75.86 rad/s

6 0
3 years ago
In a real isothermal expansion, the temperature of the surroundings must be________the temperature of the gas.
Lady_Fox [76]
Must be isolated from the temperature of the gas
7 0
3 years ago
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