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
Verdich [7]
3 years ago
10

A particle with mass 1.09 kg oscillates horizontally at the end of a horizontal spring. A student measures an amplitude of 0.985

m and a duration of 127 s for 76 cycles of oscillation.
Find the frequency, f, the speed at the equilibrium position, vmax, the spring constant, k, the potential energy at an endpoint, Umax, the potential energy when the particle is located 38.1% of the amplitude away from the equiliibrium position, U, and the kinetic energy, K, and the speed, v, at the same position.
Physics
1 answer:
e-lub [12.9K]3 years ago
4 0

Answer:

a) f = 0.598\,hz, b) v_{max} = 3.701\,\frac{m}{s}, c) k = 15.385\,\frac{N}{m}, d) U = 1.081\,J, e) K = 6.382\,J, f) v\approx 3.422\,\frac{m}{s}

Explanation:

a) The frequency of oscillation is:

f = \frac{76}{127\,hz}

f = 0.598\,hz

b) The angular frequency is:

\omega = 2\pi \cdot f

\omega = 2\pi \cdot (0.598\,hz)

\omega = 3.757\,\frac{rad}{s}

Lastly, the speed at the equilibrium position is:

v_{max} = \omega \cdot A

v_{max} = (3.757\,\frac{rad}{s} )\cdot (0.985\,m)

v_{max} = 3.701\,\frac{m}{s}

c) The spring constant is:

\omega = \sqrt{\frac{k}{m}}

k = \omega^{2}\cdot m

k = (3.757\,\frac{rad}{s} )^{2}\cdot (1.09\,kg)

k = 15.385\,\frac{N}{m}

d) The potential energy when the particle is located 38.1 % of the amplitude away from the equilibrium position is:

U = \frac{1}{2}\cdot (15.385\,\frac{N}{m} )\cdot (0.375\,m)^{2}

U = 1.081\,J

e) The maximum potential energy is:

U_{max} = \frac{1}{2}\cdot (15.385\,\frac{N}{m} )\cdot (0.985\,m)^{2}

U_{max} = 7.463\,J

The kinetic energy when the particle is located 38.1 % of the amplitude away from the equilibrium position is:

K = U_{max} - U

K = 7.463\,J - 1.081\,J

K = 6.382\,J

f) The speed when the particle is located 38.1 % of the amplitude away from the equilibrium position is:

K = \frac{1}{2}\cdot m \cdot v^{2}

v = \sqrt{\frac{2\cdot K}{m} }

v = \sqrt{\frac{2\cdot (6.382\,J)}{1.09\,kg} }

v\approx 3.422\,\frac{m}{s}

You might be interested in
Explain what the ionsphere is and how it interacts with some radio waves
mrs_skeptik [129]

Answer:

not sure

Explanation:

8 0
2 years ago
In 2-3 complete sentences, explain the relationship between speed, frequency, and wavelength.
Ahat [919]
The relationship of the speed of sound, its frequency, and wavelength is the same as for all waves: vw = fλ, where vw is the speed of sound, f is its frequency, and λ is its wavelength. ... The frequency is the same as that of the source and is the number of waves that pass a point per unit time.
7 0
2 years ago
1. Say whether the following statements are true or false and explain why:
tiny-mole [99]

Explanation:

A] TRUE

B] TRUE

C] FALSE

D] FALSE

E] TRUE

F] TRUE

G]FALSE

H] FALSE

8 0
3 years ago
A satellite is in a circular orbit around a planet. A second satellite is placed in a different circular orbit that is farther a
irinina [24]

The speed of the second satellite is less than the speed of the first satellite.

<h3>What is speed?</h3>

The speed of any moving object is the ratio of the distance covered and the time taken to cover that distance.

Given is a satellite is in a circular orbit around a planet. A second satellite is placed in a different circular orbit that is farther away from the same planet.

When the distance from the center of the orbit increases, the time to complete the orbit will be greater.

Thus, the speed of the second satellite is less than the speed of the first satellite.

Learn more about speed.

brainly.com/question/7359669

#SPJ1

3 0
2 years ago
Its A i did it and i got a
n200080 [17]

Answer:

THATS COOL

Explanation:

4 0
3 years ago
Other questions:
  • What waves need molecules in order to transfer energy
    13·1 answer
  • A women who normally weighs 400 N stands on top of a ladder so high she is one full additional earth radius above the surface of
    7·1 answer
  • What is first class lever ? can you pease say where is does the fulcrum ,load and effort​
    12·1 answer
  • Which words help you to determine the meaning of the word decelerate in paragraph 3
    6·1 answer
  • A uniform solid sphere of mass M and radius R is free to rotate about a horizontal axis through its center. A string is wrapped
    6·1 answer
  • A woman lifts a barbell 2.0 m in 5.0 s. If she lifts it the same distance in 10 s, the work done by her is:______
    6·1 answer
  • Select the correct definition for each of the following terms:
    7·1 answer
  • A tank has a gate that automatically opens if the water levelhis high enough. The gate has a squarecross section of side1m and c
    11·1 answer
  • 3. Differentiate between:<br> Law of floatation and Archimedes' principle
    15·1 answer
  • A stone is thrown at 45 degree with velocity 10m/sec.calculate the range of projectile​
    13·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!