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
pickupchik [31]
3 years ago
10

1. A mass suspended from a spring oscillates vertically with amplitude of 15 cm. At what distance from the equilibrium position

will the speed of the mass be 25% of its maximum speed?
Physics
1 answer:
antiseptic1488 [7]3 years ago
6 0

Answer:

The value of the distance is \bf{14.52~cm}.

Explanation:

The velocity of a particle(v) executing SHM is

v = \omega \sqrt{A^{2} - x^{2}}~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~`~(1)

where, \omega is the angular frequency, A is the amplitude of the oscillation and x is the displacement of the particle at any instant of time.

The velocity of the particle will be maximum when the particle will cross its equilibrium position, i.e., x = 0.

The maximum velocity(\bf{v_{m}}) is

v_{m} = \omega A~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~(2)

Divide equation (1) by equation(2).

\dfrac{v}{v_{m}} = \dfrac{\sqrt{A^{2} - x^{2}}}{A}~~~~~~~~~~~~~~~~~~~~~~~~~~~(3)

Given, v = 0.25 v_{m} and A = 15~cm. Substitute these values in equation (3).

&& \dfrac{1}{4} = \dfrac{\sqrt{15^{2} - x^{2}}}{15}\\&or,& A = 14.52~cm

You might be interested in
Which force is opposite gravity?
aev [14]

The answer you are looking for is A

5 0
3 years ago
Read 2 more answers
starting from a stop a traffic signal, a car speeds up to 20 m/s in 5 seconds. calculate the acceleration of the car.
Ira Lisetskai [31]

Answer:

5.867 m/s^2

Explanation:

Initial Speed > 0 m/s

Final Speed > 20 m/s

Time > 5 sec.

8 0
3 years ago
A train has a constant velocity of 2 m/s east. What is the magnitude of the horizontal acceleration of the train?
snow_tiger [21]
"Constant velocity" is practically a definition for zero acceleration.
7 0
3 years ago
Solve the following system of equations by using either substitution or elimination.
strojnjashka [21]
I believe that the answer to the question provided above are the following;

x = 29.8410

y = 16.6794

z = -1.2642
Hope my answer would be a great help for you.    If you have more questions feel free to ask here at Brainly.
5 0
3 years ago
What are the characters associated with light as a wave​
Liono4ka [1.6K]

Answer:

Interference of light

Diffraction of light

Polarization of light

Reflection of light

all show the wave nature of light.

6 0
3 years ago
Other questions:
  • A change from one form of energy into another is called
    6·2 answers
  • A fire breaks out and increases the Kelvin temperature of a cylinder of compressed gas by a factor of 2.4. What is the final pre
    6·1 answer
  • Taja walks two miles north from her door to the park, then returns home to her door distance and displacement
    6·1 answer
  • The velocity of in water is 1500 m/s.
    5·1 answer
  • In the previous question, the person had an initial velocity of 8m/s and a constant acceleration of −4m/s2. How would the maximu
    8·1 answer
  • A 24 kg child descends a 5.0 m high slide and reaches the ground with a speed of 2.8 m/s. What is the mass of the child?
    6·1 answer
  • What’s the answer???
    10·1 answer
  • What does it mean when wave
    10·1 answer
  • A physical (beam) is used to measure?​
    5·2 answers
  • A softball has a mass of 0.18 kg. What is the gravitational force on Earth due to the ball, and what is the Earth's resulting ac
    7·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!