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
pochemuha
3 years ago
9

A 50-cm-long spring is suspended from the ceiling. A 290 g mass is connected to the end and held at rest with the spring unstret

ched. The mass is released and falls, stretching the spring by 30 cm before coming to rest at its lowest point. It then continues to oscillate vertically.
(a) What is the spring constant? (K=)
(b) What is the amplitude of the oscillation?
(c) What is the frequency of the oscillation?
Physics
1 answer:
nasty-shy [4]3 years ago
8 0

Answer:

a) Spring Constant K=18.946\ \rm N/m

b) Amplitude of the oscillationA=0.3\ \rm m

c)Frequency o the oscillation\nu =1.287\ \rm rev/s

Explanation:

Given:

  • Magnitude of the mass, m=0.29 kg
  • Spring is stretched by x=30 cm

a)

When Finally the mass comes to rest after 30 cm of stretching in spring then work done by all the forces is equal to the change in kinetic Energy of the of the mass

\dfrac{Kx^2}{2}=mgh\\\dfrac{K\times0.3^2}{2}=0.29\times 9.8\times0.30\\K=18.946\ \rm N/m

b) The Amplitude of the oscillation is 0.3 m

c) Let Frequency of the oscillation of the mass be\nu which is given by

\nu=\sqrt{\dfrac{K}{m}}\\\nu=\dfrac{1}{2\pi}\sqrt{\dfrac{18.946}{0.29}}\\\nu=1.287\ \rm rev/s

You might be interested in
Atomic physicists usually ignore the effect of gravity within an atom. To see why, we may calculate and compare the magnitude of
STatiana [176]

Answer:

2.27\cdot 10^{49}

Explanation:

The gravitational force between the proton and the electron is given by

F_G=G\frac{m_p m_e}{r^2}

where

G is the gravitational constant

m_p is the proton mass

m_e is the electron mass

r = 3 m is the distance between the proton and the electron

Substituting numbers into the equation,

F_G=(6.67259\cdot 10^{-11} m^3 kg s^{-2})\frac{(1.67262\cdot 10^{-27}kg) (9.10939\cdot 10^{-31}kg)}{(3 m)^2}=1.13\cdot 10^{-68}N

The electrical force between the proton and the electron is given by

F_E=k\frac{q_p q_e}{r^2}

where

k is the Coulomb constant

q_p = q_e = q is the elementary charge (charge of the proton and of the electron)

r = 3 m is the distance between the proton and the electron

Substituting numbers into the equation,

F_E=(8.98755\cdot 10^9 Nm^2 C^{-2})\frac{(1.602\cdot 10^{-19}C)^2}{(3 m)^2}=2.56\cdot 10^{-19}N

So, the ratio of the electrical force to the gravitational force is

\frac{F_E}{F_G}=\frac{2.56\cdot 10^{-19} N}{1.13\cdot 10^{-68}N}=2.27\cdot 10^{49}

So, we see that the electrical force is much larger than the gravitational force.

5 0
3 years ago
cual seria el consumo semanal de un refrigerador que esta encendido 12 horas diarias con una potencia de 0.8kw
aniked [119]

Answer:

jajajaja sorry no ablaru inglich jajj yes or nou?

4 0
2 years ago
LVULAN
3241004551 [841]

For this case we have that by definition, the kinetic energy is given by the following formula:

k= \frac {1} {2} * m * v ^ 2

Where:

m: It is the mass

v: It is the velocity

According to the data we have to:

m = 100 \ kg\\v = 9 \frac {m} {s}

Substituting the values we have:

k = \frac {1} {2} * (100) * (9) ^ 2\\k = \frac {1} {2} * (100) * 81\\k = 50 * 81\\k = 4050

finally, the kinetic energy is 4050 \ J

Answer:

Option A

7 0
3 years ago
Which best explains how the diffraction pattern observed in young’s experiment supports the wave theory of light?.
KIM [24]

Answer: the airy pattern can only arise from wave propagation

Explanation:if particles went in straight lines through a slit, they would progate linearly and not interfere. The airy pattern arises from diffraction as waves interfere, producing peaks (constructive interference where peaks of waves from each slit coincide) and troughs (destructive interference where peaks and troughs of waves from each slit cancel out). If intensity rather than field is measured nodes occur where 0 values line up instead of troughs

6 0
2 years ago
The layer of the Earth that is composed of large plates that interlock and move over time is the _______. asthenosphere lithosph
siniylev [52]
The lithosphere because it includes the outer region of the earth including the crust and outer mantle
4 0
2 years ago
Read 2 more answers
Other questions:
  • 0.013*30A 340 g bird flying along at 6.0 m/s sees a 13 g insect heading straight toward it with a speed of 30 m/s. The bird open
    13·1 answer
  • Which of the following statements describes Newton's second law?
    10·2 answers
  • A Cephied is a star that belongs to a class of yellow supergiant pulsating stars; these stars vary periodically in brightness, a
    15·1 answer
  • How do I find the atomic mass of an element?
    9·2 answers
  • What purpose does a generator serve in a power plant?
    15·1 answer
  • What two factors affect the gravitational force between two objects
    13·2 answers
  • What is another word for a change in velocity/change in time
    9·2 answers
  • Are the refractive index and the speed of light in a vacuum direct propotional or inversley​
    5·1 answer
  • If the net force is 7 what is the magnitude
    15·1 answer
  • Leslie is investigating which brand of cell phone has the longest lasting battery.
    8·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!