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
nikitadnepr [17]
2 years ago
14

A 35.9 g mass is attached to a horizontal spring with a spring constant of 18.4 N/m and released from rest with an amplitude of

39.5 cm. What is the speed of the mass when it is halfway to the equilibrium position if the surface is frictionless
Physics
2 answers:
lidiya [134]2 years ago
8 0

Answer:

7.74m/s

Explanation:

Mass = 35.9g = 0.0359kg

A = 39.5cm = 0.395m

K = 18.4N/m

At equilibrium position, there's total conservation of energy.

Total energy = kinetic energy + potential energy

Total Energy = K.E + P.E

½KA² = ½mv² + ½kx²

½KA² = ½(mv² + kx²)

KA² = mv² + kx²

Collect like terms

KA² - Kx² = mv²

K(A² - x²) = mv²

V² = k/m (A² - x²)

V = √(K/m (A² - x²) )

note x = ½A

V = √(k/m (A² - (½A)²)

V = √(k/m (A² - A²/4))

Resolve the fraction between A.

V = √(¾. K/m. A² )

V = √(¾ * (18.4/0.0359)*(0.395)²)

V = √(0.75 * 512.53 * 0.156)

V = √(59.966)

V = 7.74m/s

stiks02 [169]2 years ago
7 0

Answer:

The speed of the mass is 7.74 m/s

Explanation:

Given data:

m = 35.9 g = 0.0359 kg

k = 18.4 N/m

A = 39.5 cm = 0.395 m

The displacement in spring is:

x=\frac{A}{2} =\frac{0.395}{2} =0.1975m

The law of conservation of energy:

initial energy = final energy

\frac{1}{2} kA^{2} =\frac{1}{2} kx^{2} +\frac{1}{2} mv^{2} \\kA^{2}=kx^{2}+mv^{2}\\(18.4*0.395^{2} )=(18.4*0.1975^{2} )+(0.0359v^{2} )\\v=7.74m/s

You might be interested in
The vector quantity that defines the distance and direction between two positions. It is a change in your position.
lilavasa [31]

I believe you're talking about displacement. It's a directional vector that depicts the movement of a point between two instances.

4 0
2 years ago
What are the characteristics of high energy wave?
Ivahew [28]

Answer:

D. High frequency and short wavelengths.

Explanation:

If a wave is high in energy it will have a higher frequency.

High frequency = short wavelengths

8 0
2 years ago
A researcher collected data on 100 random homes in Wake County. She then created the following histogram of when each home was b
Ivanshal [37]

Answer:

The correct answer is "The median year built is greater than the mean year built., The median year built is between 1980 and 2000."

Explanation:

Wake country is located in the north Carolina, it is the most fastest growing country among the united nations. The town of Cary and also city of Raleigh is the 8th and the 15th fastest growing cities. Hence, the city was growing along with infrastructures as well as with the population. For proper shelter more number of the homes were built. The literacy rates were also good. A quite good number of schools and colleges are there in the city. With better medical facilities.

6 0
3 years ago
Consider the following three statements: (i) For any electro-magnetic radiation, the product of the wavelength and the frequency
Scilla [17]

Answer:

A and B

Explanation:

The relation between frequency and wavelength is shown below as:

c=frequency\times Wavelength

c is the speed of light having value 3\times 10^8\ m/s

Thus, the product of the wavelength and the frequency is constant and equal to 3\times 10^8\ m/s

<u>Option A is correct.</u>

Given, Frequency = 1\times 10^{18}\ Hz

Thus, Wavelength is:

Wavelength=\frac{c}{Frequency}

Wavelength=\frac{3\times 10^8}{1\times 10^{18}}\ m

Wavelength=3\times 10^{-10}\ m

Also, 1 m = 3\times 10^{-10} Å

So,

<u>Wavelength = 3.0 Å</u>

<u>Option B is correct.</u>

As stated above, the speed of electromagnetic radiation is constant. Hence, each radiation of the spectrum travels with same speed.

<u>Option C is incorrect.</u>

3 0
3 years ago
Read 2 more answers
**Fill in the blanks**
Nataly_w [17]

Answer:

Word for the first blank: gravity

Word for the second blank: matter

Explanation:

The only way debris from the impact with Earth can be held close to Earth is due to a force. The only force that could be acting from Earth is "the force of gravity".

The gravitational pull of this new object being formed, increases proportional to its mass as more and more "matter" accumulates. And the accretion process is now on its way.

4 0
3 years ago
Read 2 more answers
Other questions:
  • Why is friction important for gymnast working on parallel bars
    12·1 answer
  • A 30.0 kg cart travelling at 5.00 m/s collides with a 50.0 kg cart. Both carts immediately come to rest after the collision. Wha
    10·1 answer
  • The orbital period of the satellite can be synchronized with mars' rotation, whose period is 24.6 hours. determine the required
    8·1 answer
  • When you lift a book of the ground to your desk, what kind of work do you do, negative or positive?
    5·1 answer
  • What is the total number of atoms in the formula?   NH 3
    15·1 answer
  • What is the current of a 10 Ohm resistor attached to a 9 volt battery?
    11·1 answer
  • A solid concrete block weighs 140 N and is resting on the ground. Its dimensions are 0.370 m x 0.150 m x 0.0820 m. A number of i
    10·1 answer
  • A 2.00 kg object is attached to a spring and placed on frictionless, horizontal surface. Ahorizontal force of 18.0 N is required
    5·1 answer
  • Which is NOT true about oxygen-17 and oxygen-18?
    10·1 answer
  • How does self efficacy relate to sports performance?
    12·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!