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
Lina20 [59]
4 years ago
12

A boy throws a ball on a spring scales which oscillates about the equilibrium position with a period of T = 0.5 sec. The amplitu

de of the vibration is A = 2 cm. Assume the ball does not bounce from the scales’s surface afterwards. Assume the vibration of the scale is expressed mathematically as x(t) = Acos(t + ). Find:
Physics
1 answer:
liq [111]4 years ago
6 0

Complete Question

A boy throws a ball on a spring scales which oscillates about the equilibrium position with a period of T = 0.5 sec. The amplitude of the vibration is A = 2 cm. Assume the ball does not bounce from the scales’s surface afterwards. Assume the vibration of the scale is expressed mathematically as x(t) = Acos(t + ). Find:

a) frequency

b) the maximum acceleration

c) the maximum velocity

Answer:

a

f =  2  \ Hz

b

a_{max} =  3.2 \ m/s^2

c

v_{max} =  0.25 \  m/s

Explanation:

From the question we are told that

   The period is  T  =  0.5 \ sec

    The  amplitude is  A =  2 \ cm  =  0.02 \ m

    The  vibration of the scale is  Acos(wt +  \phi )

Generally the frequency is mathematically represented as

   f =  \frac{1}{T}

=>   f =  \frac{1}{0.5}

=>    f =  2  \ Hz

The  maximum acceleration is mathematically represented as

    a_{max} =  A *(2 \pi f)^2

=>    0.02 *  (2 * 3.142  *  2)^2

=>  a_{max} =  3.2 \ m/s^2

The  maximum velocity is mathematically represented as  

     v_{max} =  A *  (2 \pi f)

=>    v_{max} =  0.02 *  (2 * 3.142 *  2)

=>    v_{max} =  0.25 \  m/s

You might be interested in
How does light determine whether it acts as a particle or a wave?
pishuonlain [190]
Great question. Albert Einstein proved that light acts as both a particle and a wave in his 1905 paper. This is called wave-particle duality. 
With quantum mechanics, it is easy to prove that light behaves as both a particle and a wave. 
When UV light hits a metal surface, it causes an emission of electrons. This "photoelectric effect" proves how light behaves. 
5 0
3 years ago
Read 2 more answers
The spreading of waves behind an aperture is more for long wavelengths and less for short wavelengths.Less for long wavelengths
Allisa [31]

Answer:

Increase in wavelength of incident wave also increases the spread angle or spread of the interference pattern.

Explanation:

Solution:-

- The diffraction occurs when light bends in the same medium. The bending is the result of light waves "squeezing" through small openings or "curving" around sharp edges.

- Moreover, waves diffract best when the size of the diffraction opening (or grting or groove) corresponds to the size of the wavelength. Hence, light diffracts more through small openings than through larger openings.

- The formula for diffraction shows a direct relationship between the angle of diffraction (theta) and wavelength:

                                         d sin (θ) = m λ

Where,

     λ : Wavelength , θ : The spread angle , d : Slit opening or grating

- We can see that the wavelength λ and spread angle θ are related proportionally. So if we increase the wavelength of incident wave we also increase the spread angle or spread of the interference pattern.

5 0
4 years ago
What is the velocity of the particle when its acceleration is zero?
Zigmanuir [339]
Its velocity would be constant 
3 0
3 years ago
La masa de un camión es de
Nutka1998 [239]

Answer:

45000 kg and 45 tons  

Explanation:

The expression in kilograms and tons is shown below;

As we know that

1 gr is 0.001 kg

So, 45000000 = 45,000 kg

And,

1 kg = 0.001 tons  

So, 45000 kg = 45 tons    

Therefore the same would be considered

7 0
3 years ago
Determine qual é a carga elétrica de um corpo que possui 1 milhão de partículas?
MaRussiya [10]

Answer:

This can be translated to:

"find the electrical charge of a body that has 1 million of particles".

First, it will depend on the charge of the particles.

If all the particles have 1 electron more than protons, we will have that the charge of each particle is q = -e = -1.6*10^-19 C

Then the total charge of the body will be:

Q = 1,000,000*-1.6*10^-19 C = -1.6*10^-13 C

If we have the inverse case, where we in each particle we have one more proton than the number of electrons, the total charge will be the opposite of the one of before (because the charge of a proton is equal in magnitude but different in sign than the charge of an electron)

Q = 1.6*10^-13 C

But commonly, we will have a spectrum with the particles, where some of them have a positive charge and some of them will have a negative charge, so we will have a probability of charge that is peaked at Q = 0, this means that, in average, the charge of the particles is canceled by the interaction between them.

7 0
3 years ago
Other questions:
  • An object is placed 10 cm in front of a diverging mirror. What is the focal length of the mirror if the image appears 2 cm behin
    7·1 answer
  • If an object has a volume of 2.5mL and a mass of 10g than what is the density of an object?
    7·1 answer
  • Based on the law of conservation of energy, how can we reasonably improve a machine’s ability to do work?
    13·2 answers
  • If an astronaut travels to different planets, which of the following planets will the astronaut’s weight be the same as on Earth
    10·2 answers
  • O2 is a molecule.
    8·1 answer
  • The human eye can readily detect wavelengths from about 400 nm to 700 nm. part a if white light illuminates a diffraction gratin
    10·1 answer
  • A 2.0-kg mass is projected from the edge of the top of a 20-m tall building with a velocity of 24 m/s at some unknown angle abov
    13·1 answer
  • Which of these statement describes a chemical property
    11·1 answer
  • Pls tell me<br><br> Question: 1 way to keep people safe from hurricane.
    6·2 answers
  • A body having mass 200g id moving with velocity 120m\s. What is its power​
    11·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!