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
Charra [1.4K]
3 years ago
7

A block rests on a ?at plate that executes vertical simple harmonic motion with a period of 0.58s.

Physics
2 answers:
SVETLANKA909090 [29]3 years ago
8 0

Answer:

maximum amplitude  = 0.08 m

Explanation:

Given that

Time period T= 0.58 s

acceleration of gravity g= 9.8 m/s²

We know that time period of simple harmonic motion given as

T = 2π/ω

0.58 = 2π/ω

ω = 10.83rad/s

ω=angular frequency

Lets take amplitude = A

The maximum acceleration given as

a= ω² A

The maximum acceleration should be equal to g ,then block does not separate

a= ω² A

9.8 =  10.83² A

A = 0.08m

maximum amplitude  = 0.08 m

Morgarella [4.7K]3 years ago
4 0

Given Information:

Period = T = 0.58 seconds

Acceleration due to gravity = g = 9.8 m/s²

Required Information:

Maximum amplitude = A = ?

Answer:

Maximum amplitude = 0.083 m

Explanation:

The relation between the period and angular velocity of a simple harmonic motion is given by

ω = 2π/T

Whereas the maximum acceleration is given by

a = ω²A

Where A is the corresponding maximum amplitude

a = (2π/T)²A

Now will we equate the maximum acceleration with acceleration due to gravity

g = (2π/T)²A

A = g/(2π/T)²

Finally, substitute the given values

A = 9.8/(2π/0.58)²

A = 9.8/117.35

A = 0.083 m

Therefore, the maximum amplitude for which the block doesn't separate from the plate is 0.083 m any increase beyond this value will result in separation.

You might be interested in
Write your question here (Keep it simple and clear to get the best answer) a car accelerates uniformly from an initial velocity
Fittoniya [83]

Answer:

Average velocity = 18 m/s

Explanation:

Given the following data;

Initial velocity = 10m/s

Acceleration = 2m/s²

Time = 4 seconds

To find the average velocity, we would use the first equation of motion;

V = U + at

Where;

V is the final velocity.

U is the initial velocity.

a is the acceleration.

t is the time measured in seconds.

Substituting into the equation, we have;

V = u + at

V = 10 + 2*4

V = 10 + 8

V = 18 m/s

8 0
2 years ago
How wood helps in home insulation plz answer fast<br>plz answwweeeeeeerrrrrrr
Usimov [2.4K]
Wood is a poor conductor and therefore a good insulator keeping heat inside
3 0
3 years ago
Read 2 more answers
A car traveling with an initial velocity of 10 m/s accelerates at a constant rate of 2.2 m/s^2 for 2 seconds. What distance does
mel-nik [20]

2.5 better than the first one more game to go hard but I 46 the bucks

5 0
2 years ago
Read 2 more answers
For Valentine’s Day, Sally received a helium-filled balloon at a party. On returning home she accidentally left the balloon in t
Softa [21]

Answer:

If the temperature of the air in the balloon is less than the temperature of the air surrounding the balloon then the balloon will appear slightly deflated because of the difference in temperature.

As the temperature of the air in the balloon reaches the surrounding air temperature, then the balloon will appear to be fully inflated because the temperature of the air in the balloon is the same as the surrounding air temperature.

8 0
3 years ago
you ride your bike for a distance of 30km. you travel ata a speed of 0.75km/minute.how many minutes does it take
mihalych1998 [28]
Distance for which the bike is ridden = 30 km
Speed at which the bike is driven = 0.75 km/minute
Let us assume the number of minutes taken to travel the distance of 30 km = x
Now we already know the formula of speed can be written as
Speed = Distance traveled/ Time taken
0.75 = 30/x
0.75x = 30
x = 30/0.75
  = 40 minutes
So the time taken for riding a distance of 30 km will be 40 minutes. I hope this procedure is simple enough for you to understand.
7 0
3 years ago
Read 2 more answers
Other questions:
  • mike shoots a large marble (Marble A, mass:0.05 kg) at a smaller marble (Marble B, mass: 0.03 kg) that is sitting still. Marble
    10·1 answer
  • A treasure map instructs you to walk (25.0+A) m south, followed by (18.0+B) m east, then 64.5 m north, and finally 28.5 m east.
    15·1 answer
  • What term is given to a substance that can dissolve in a particular liquid?
    12·2 answers
  • Based on Newtons law of universal gravitation, complete the following table.
    15·2 answers
  • A scaffold of mass 60 kg and length 5.0 m is supported in a horizontal position by a vertical cable at each end. Its center of g
    14·1 answer
  • Which cell process occurs only in organisms that
    7·1 answer
  • The mass of an object changes as the distance from the center of gravity changes. True False
    7·2 answers
  • What is the voltage across resistor #2? (must include unit - V)
    12·1 answer
  • Please help!!!!!!!!
    15·1 answer
  • at maximum extension a bungee cord stores 2.0 X 10^6 J of energy. A 10 kg mass extends the bungee cord 1.3m. what is the maximum
    9·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!