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
Molodets [167]
3 years ago
5

The motion of a simple spring hanging from the ceiling can be modeled with a cosine function. The bottom of the spring has a max

imum height of 7 feet 4 inches and a minimum height of 6 feet 2 inches from the floor. It takes 2 seconds for the spring to expand from its minimum length to its maximum length. What is a cosine function that models the spring’s length in inches above and below its average, resting position? Express the model as a function of time in seconds
Physics
2 answers:
Soloha48 [4]3 years ago
7 0
The first step is to substitute the given values in this equation f(x)= A cos (W*t). It is assumed that there is no mass in the resting position. The calculated amplitude is equal to 7. The final answer is f(t) = 7cos(π/2t).
frozen [14]3 years ago
7 0

Answer:

y = 6'9" + 7"cos(\frac{\pi}{2} t)

Explanation:

As we know that the distance between maximum and minimum distance of the position will be equal to double of the amplitude.

So here we can say that

2 \times Amplitude = maximum\: distance - minimum \:distance

2A = 7'4" - 6'2"

2A = 1'2"

A = 7 inch

Since it took 2 second to reach the position of maximum length from its position of minimum length so here time period of motion will be

T = 4 seconds

so here angular frequency is given as

\omega = \frac{2\pi}{T}

\omega = \frac{2\pi}{4}

now the equation of motion will be

y = 6'9" + 7"cos(\frac{\pi}{2} t)

here its mean position from ground is at 6 ft 9 inch above and it will oscillate about it with an amplitude of 7 inch with time period of 4 s

You might be interested in
3. A bunny and a tortoise start a race from rest. The bunny accelerates at a rate ab for a time to until it reaches its
Aleks [24]

pa

heart

po

at

pa

follow

rin

sa

tiktok

Answer:

yan

ang

answer

7 0
2 years ago
What is the best reason for having a strong hypothesis?
Elena-2011 [213]

Answer:

the answer is C

Explanation:

i did this

7 0
2 years ago
As in the video, we apply a charge +Q to the half-shell that carries the electroscope. This time, we also apply a charge –Q to t
Andreyy89

Answer:

Explanation:

When the positively charged half shell is brought in contact with the electroscope, its needle deflects due to charge present on the shell.

When the negatively charged half shell is brought in contact with the positively charged shell , the positive and negative charge present on each shell neutralises each other  .So both the shells lose their charges .The positive half shell also loses all its charges

When we separate the half shells , there will be no deflection  in the electroscope because both the shell have already lost their charges and they have become neutral bodies . So they will not be able to produce any deflection in the electroscope.

4 0
3 years ago
Read 2 more answers
Write the equation for eccentricity
Svetradugi [14.3K]
<span>e=ca{\displaystyle e={\frac {c}{a}}}.</span>

3 0
3 years ago
Your roommate leaves a 120W fan running in your apartment.Over the course of an hour,how much thermal energy does the fan add to
zubka84 [21]

Answer:

4.32\cdot 10^5 J

Explanation:

Power is related to energy by the following relationship:

P=\frac{E}{t}

where

P is the power used

E is the energy used

t is the time elapsed

In this problem, we know that

- the power of the fan is P = 120 W

- the fan has been running for one hour, which corresponds to a time of

t = 1 h \cdot (60 min/h)(60 s/min)=3600 s

So we can re-arrange the previous equation to find E, the energy (in the form of thermal energy) released by the fan:

E=Pt=(120 W)(3600 s)=4.32\cdot 10^5 J

3 0
2 years ago
Read 2 more answers
Other questions:
  • In 6 days, the temperature dropped 18 degrees. How many degrees per day did the temperature drop?
    10·1 answer
  • Which one of the following indicates a drop in temperature? A. The alcohol in a thermometer expands. B. The brass on a bent bime
    7·2 answers
  • Most tornadoes form as a result of
    7·1 answer
  • When you drink cold water, your body must expend metabolic energy in order to maintain normal body temperature (37° C) by warmin
    10·1 answer
  • An object is electrically charged if the amounts of positive and negative charge it contains are not _______.
    7·2 answers
  • A hot metal bolt of mass 0.06 kg and specific heat capacity 899 J/kg°C is dropped into a calorimeter containing 0.16 kg water at
    6·1 answer
  • A 0.0780 kg lemming runs off a 5.36 m high cliff at 4.84 m/s. what is its potential energy (PE) when it is 2.00 m above the grou
    10·1 answer
  • Does the distance a person kicks a soccer ball
    12·1 answer
  • A block of mass 4 kg rests on a horizontal surface without friction, when subjected to the action of 5 horizontal forces as show
    10·1 answer
  • What sport does not require a high level of fitness
    10·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!