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
Anna35 [415]
3 years ago
15

A 0.250 kg mass is attached to a spring with k=18.9 N/m. At the equilibrium position, it moves 2.89 m/s. What is the amplitude o

f the oscillation? (Unit=m)
Physics
1 answer:
gtnhenbr [62]3 years ago
8 0

Answer: y = R*sin(2.75*t - δ)

Here δ is just the time offset and for our purposes is pretty irrelevant.  You can in fact set it to zero since we can say we begin timing when the mass crosses equilibrium.  So

y = R*sin(2.75*t)

We want to find a way to use the information "At the equilibrium position, it moves 2.89 m/s."  I am going to use some calculus here since it makes things so much easier.  If you haven't taken calculus yet, most likely your course has given you a formula to use instead.

We know y=0 when t=0, so y is at equilibrium when t=0.  To say it moves 2.89 m/s is then to say that

y'(0) = 2.89.

From here we can differentiate the displacement function, set t=0 and solve for R.  Using the chain rule:

y'(t) = 2.75*R*cos(2.75*t)

y'(0) = 2.75*R

2.75*R = 2.89

R = 1.051

Explanation: Since this is harmonic motion we can assume there is no damping force.  The frequency of the oscillation is given by ω=√(k/m)=√(18.9/2.5)=2.75.  Keep in mind this is angular frequency, i.e. radians per second, not wavelengths per second.  

You might be interested in
Which, if any, of the heat engines violate(s) the second law of thermodynamics?
Anuta_ua [19.1K]
The second law states that the total entropy can never decrese over time for an isolated system
3 0
3 years ago
A proton is 0.9 meters away from a 1.4 C charge. What is the magnitude of the electric force between the proton and the charge
Digiron [165]

Answer:

F = 2.49 x 10⁻⁹ N

Explanation:

The electrostatic force between two charged bodies is given by Colomb's Law:

F = \frac{kq_1q_2}{r^2}\\

where,

F = Electrostatic Force = ?

k = colomb's constant = 9 x 10⁹ N.m²/C²

q₁ = charge on proton = 1.6 x 10⁻¹⁹ C

q₂ = second charge = 1.4 C

r = distace between charges = 0.9 m

Therefore,

F = \frac{(9\ x\ 10^9\ N.m^2/C^2)(1.6\ x\ 10^{-19}\ C)(1.4\ C)}{(0.9\ m)^2}

<u>F = 2.49 x 10⁻⁹ N</u>

8 0
3 years ago
Read 2 more answers
Does Pepsi have more carbonation than coke
horsena [70]
Coke has more fizz than Pepsi, because Coke has more carbonation in it. Pepsi contains more sugar (2 more tablespoons) than Coke, so it tastes slightly sweeter to many people.
6 0
3 years ago
Read 2 more answers
Which is an example of reflection
Elena-2011 [213]

Common examples include the reflection of light, sound and water waves. The law of reflection says that for specular reflection the angle at which the wave is incident on the surface equals the angle at which it is reflected. Mirrors exhibit specular reflection.

5 0
3 years ago
A country would place a tariff on imported steel to
Whitepunk [10]
. . . 'protect' its domestic steel industry, by
increasing the price of imported steel.
7 0
3 years ago
Read 2 more answers
Other questions:
  • What units do physicists use to measure heat energy and electrical energy?
    13·1 answer
  • A ball is thrown straight up with an initial velocity of 6.4 m/s. It travels for 0.64 seconds, and has a change of position of 2
    7·1 answer
  • Multiple Choice
    13·1 answer
  • when you hold a warm bowl of soup the temperature of the palms of your hands increases this is an example of
    7·1 answer
  • In the absence of government, what would determine the way people act towards each other?
    15·1 answer
  • A man walks 23 km east and then
    6·1 answer
  • You are leaving for a party at your cousin’s house in a city that is 150 km away. You will travel at an average rate of 50 km/hr
    12·2 answers
  • Consider light energy that is momentarily absorbed in glass and then re-emitted. Compared to the absorbed light, the frequency o
    5·1 answer
  • Use the information from the graph to answer the
    10·1 answer
  • A 65 kg woman is inside an elevator. (A) Calculate her apparent weight (normal force) in Newtons if the elevator moves at consta
    14·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!