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
Verdich [7]
3 years ago
10

A particle with mass 1.09 kg oscillates horizontally at the end of a horizontal spring. A student measures an amplitude of 0.985

m and a duration of 127 s for 76 cycles of oscillation.
Find the frequency, f, the speed at the equilibrium position, vmax, the spring constant, k, the potential energy at an endpoint, Umax, the potential energy when the particle is located 38.1% of the amplitude away from the equiliibrium position, U, and the kinetic energy, K, and the speed, v, at the same position.
Physics
1 answer:
e-lub [12.9K]3 years ago
4 0

Answer:

a) f = 0.598\,hz, b) v_{max} = 3.701\,\frac{m}{s}, c) k = 15.385\,\frac{N}{m}, d) U = 1.081\,J, e) K = 6.382\,J, f) v\approx 3.422\,\frac{m}{s}

Explanation:

a) The frequency of oscillation is:

f = \frac{76}{127\,hz}

f = 0.598\,hz

b) The angular frequency is:

\omega = 2\pi \cdot f

\omega = 2\pi \cdot (0.598\,hz)

\omega = 3.757\,\frac{rad}{s}

Lastly, the speed at the equilibrium position is:

v_{max} = \omega \cdot A

v_{max} = (3.757\,\frac{rad}{s} )\cdot (0.985\,m)

v_{max} = 3.701\,\frac{m}{s}

c) The spring constant is:

\omega = \sqrt{\frac{k}{m}}

k = \omega^{2}\cdot m

k = (3.757\,\frac{rad}{s} )^{2}\cdot (1.09\,kg)

k = 15.385\,\frac{N}{m}

d) The potential energy when the particle is located 38.1 % of the amplitude away from the equilibrium position is:

U = \frac{1}{2}\cdot (15.385\,\frac{N}{m} )\cdot (0.375\,m)^{2}

U = 1.081\,J

e) The maximum potential energy is:

U_{max} = \frac{1}{2}\cdot (15.385\,\frac{N}{m} )\cdot (0.985\,m)^{2}

U_{max} = 7.463\,J

The kinetic energy when the particle is located 38.1 % of the amplitude away from the equilibrium position is:

K = U_{max} - U

K = 7.463\,J - 1.081\,J

K = 6.382\,J

f) The speed when the particle is located 38.1 % of the amplitude away from the equilibrium position is:

K = \frac{1}{2}\cdot m \cdot v^{2}

v = \sqrt{\frac{2\cdot K}{m} }

v = \sqrt{\frac{2\cdot (6.382\,J)}{1.09\,kg} }

v\approx 3.422\,\frac{m}{s}

You might be interested in
What is the oxidation state of beryllium
Paha777 [63]
<span> Beryllium has an exclusive </span>+2<span> oxidation state in all of its compounds</span>
3 0
3 years ago
A hiker is at the bottom of a canyon facing the canyon wall closest to her. She is 280.5 meters from the wall and the sound of h
ValentinkaMS [17]

Answer:

4.80 seconds

Explanation:

The velocity of sound is obtained from;

V= 2d/t

Where;

V= velocity of sound = 329.2 ms-1

d= distance from the wall = 790.5 m

t= time = the unknown

t= 2d/V

t= 2 × 790.5/ 329.2

t= 4.80 seconds

8 0
3 years ago
Volume of an block is 5 cm3. If the density of the block is 250 g/cm3, what is the mass of the block ?​
wlad13 [49]

Answer:

The mass of the block is 1250g.

Explanation:

Given that the formula for density is ρ = mass/volume. Then you have to substitute the values into the formula :

ρ =  \frac{mass}{volume}

Let density = 250,

Let volume = 5,

250 =  \frac{m}{5}

m = 250 \times 5

m = 1250g

7 0
3 years ago
Draw a simple circuit that lights up a bulb. ​
coldgirl [10]

Hope this helps

Ps- U can pick between these two pictures

Please mark as brainliest

5 0
2 years ago
Read 2 more answers
You are at the top of the Empire State Building on the 102nd floor, which is located 373 m above the ground, when your favorite
Liula [17]

Answer:

1.5 m

Explanation:

H = actual height of the superhero = ?

H₀ = height of the superhero as observed = 1.73 m

v = speed of the superhero = 0.50 c

Using the equation

H = H_{o} \sqrt{1 - \left ( \frac{v}{c} \right )^{2}}

Inserting the values

H = 1.73 \sqrt{1 - \left ( \frac{0.50 c}{c} \right )^{2}}

H = 1.5 m

3 0
3 years ago
Other questions:
  • Slick Willy is in traffic court (again) contesting a $50.00 ticket for running a red light. "You see, your Honor, as I was appro
    10·2 answers
  • If the magma chamber beneath volcano b empties and then collapses, what kind of feature will form? explain.
    13·2 answers
  • There is a circuit with 4 amps and 10 ohm. what would the voltage be?
    6·1 answer
  • What do you know about stars?
    8·2 answers
  • When a bow is stretched back and an arrow is shot what type of energy conversion has occured
    12·1 answer
  • A 19.0 g sample of liquid methane is heated at a constant pressure of 1 atm from a temperature of 109.1 K to a temperature of 18
    12·1 answer
  • When a ball is launched from the ground at a 45° angle to the horizontal, it falls back to the ground 50 m from the launch point
    6·1 answer
  • 2. A hammer hits a nail with a force of 50 N into some wood. The area of the point of the nail is 0.02 cm2. What is the pressure
    6·2 answers
  • The net force of two forces F1 and F2 acting in the same direction is 85N.And if is 15N when they are exerted in opposite direct
    12·2 answers
  • How can you find the area of a regular room?​
    15·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!