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
Vitek1552 [10]
3 years ago
11

a 2kg block is attached to a horizontal ideal spring with a spring constant of 200 Newton per minute. when the spring has its eq

uillibrium length of block is given a speed of 5mps. what is the maximum elongation of the spring
Physics
1 answer:
mixas84 [53]3 years ago
5 0

Answer:

The maximum elongation of the spring is 0.5 meters.

Explanation:

The statement is incorrect. The correct form is:

<em>A 2-kg block is attached to a horizontal ideal spring with a spring constant of 200 newton per meter. When the spring has its equillibrium length, the block has a speed of 5 meters per second. What is the maximum elongation of the spring?</em>

The block experiments a simple harmonic motion, where there are no non-conservative forces and the total energy is the sum of translational kinetic energy of the mass and the elastic potential energy of the spring. The maximum elongation of the spring is done when elastic potential energy reach its maximum. By the Principle of Energy Conservation, the maximum elastic potential energy is equal to the maximum translational kinetic energy, which corresponds to the instant when the mass reaches the equilibrium position. Then, the equation modelling the system is:

U_{max} = K_{max} (1)

Where:

U_{max} - Maximum elastic potential energy of the spring, measured in joules.

K_{max} - Maximum translational kinetic energy of the mass, measured in joules.

By definitions of the maximum elastic potential energy of the spring and the maximum translational kinetic energy of the mass, the expression above is expanded and simplified:

\frac{1}{2}\cdot k\cdot x_{max}^{2} = \frac{1}{2}\cdot m \cdot v_{max}^{2}

x_{max} = \sqrt{\frac{m}{k} }\cdot v_{max} (2)

Where:

x_{max} - Maximum elongation of the spring, measured in meters.

m - Mass, measured in kilograms.

k - Spring constant, measured in newtons per meter.

v_{max} - Maximum speed of the mass, measured in meters per second.

If we know that m = 2\,kg, k = 200\,\frac{N}{m} and v_{max} = 5\,\frac{m}{s}, then the maximum elongation of the spring is:

x_{max} = \sqrt{\frac{2\,kg}{200\,\frac{N}{m} } }\cdot \left(5\,\frac{m}{s} \right)

x_{max} = 0.5\,m

The maximum elongation of the spring is 0.5 meters.

You might be interested in
An electron in the beam of a cathod-ray tube is accelerated by a potential difference of 2.12 kV . Then it passes through a regi
son4ous [18]

Answer:

B=9.1397*10^-4 Tesla

Explanation:

To find the velocity first we put kinetic energy og electron is equal to potential energy of electron

K.E=P.E

\frac{1}{2}*m*v^{2}  =e*V

where :

m is the mass of electron

v is the velocity

V is the potential difference

v=\sqrt{\frac{2*e*V}{m} }    eq 1

Radius of electron moving in magnetic field is given by:

R=\frac{m*v}{q*B}       eq 2

where:

m is the mass of electron

v is the velocity

q=e=charge of electron

B is the magnitude of magnetic field

Put v from eq 1 into eq 2

R=\frac{m*\sqrt{\frac{2*e*V}{m} } }{e B}

B=\sqrt{\frac{2*m*V}{e*R^{2} } }

B=\sqrt{\frac{2*(9.31*10^{-31})*(2.12*10^{3})  }{(1.60*10^{-19})*(0.170)^{2}  } }

B=9.1397*10^-4 Tesla

3 0
3 years ago
A sound wave has a speed of 343 m/s in air. What is the wavelength of a sound wave with a frequency of 686 Hz
Svetradugi [14.3K]

Wavelength is the distance between 2 adjacent points in a wave

we can use the following equation to find the wavelength of a sound wave

wavelength = speed / frequency

frequency is the number of waves passing a point in 1 second

substituting the values in the equation

wavelength = 343 m/s / 686 Hz

wavelength = 0.5 m

wavelength of the wave is 0.5 m

6 0
3 years ago
When dots are printed from a laser printer to form letters, they must be close enough so that you do not see the individual dots
balandron [24]

Answer: separate them

Explanation:

3 0
3 years ago
An adult with a BMI of 25 to 30 is considered
soldier1979 [14.2K]
Option A overweight

HOPE IT HELPS!!
4 0
3 years ago
Read 2 more answers
Betty weighs 400 N and she is sitting on a playground swing seat that hangs 0.21 m above the ground. Tom pulls the swing back an
disa [49]

Answer:

4.15 m/s

Explanation:

As the total energy must be conserved (neglecting air resistance) the change in gravitational potential energy, must be equal to the change in kinetic energy:

ΔE = ΔK + ΔU =0

If we take as a zero reference level for the gravitational potential energy, the height of the swing seat above the ground, (which is equal to 0.21 m), we can find the initial gravitational energy, considering the height of the point where the seat is released, regarding this point:

h₀ = 1.09 m -0.21 m = 0.88 m

⇒ U₀ = m*g*h₀ = 400 N*0.88 m = 352 J

As Uf = 0, ΔU = Uf -U₀ = -352 J

As the swing starts from rest, K₀=0, so we can say:

ΔK = Kf = \frac{1}{2} *m*vf^{2}  (1)

As ΔK = -ΔU ⇒ ΔK = 352 J (2)

From (1) and (2) we can solve for vf, as follows:

vf = \sqrt{\frac{2*352J}{40.8kg}} = 4.15 m/s

So, when the swing passes through its lowest position, Betty moves at 4.15 m/s.

5 0
3 years ago
Other questions:
  • Two wires, each of length 1.2m are stretched between 2 fixed supports. On wire A there is a second harmonic standing wave whose
    6·1 answer
  • A parallel-plate capacitor is made from two aluminum-foil sheets, each 5.9 cm wide and 5.6 m long. Between the sheets is a Teflo
    14·1 answer
  • A material that provides little or no resistance to the flow of electric current is called a(an) A. circuit / B. conductor / C.
    5·2 answers
  • I will GIVE BRAINLYEST AND POINTS PLEAS HELP!!!
    8·1 answer
  • If the distance between two masses is tripled, the gravitational force between changes by a factor of:_______
    12·1 answer
  • How many forces are acting on a stationary raft floating in a swimming pool A1 B2 or C3
    14·1 answer
  • A woman pushes a car with a force of 400 N for a distance of 15m. How much work has she done?
    8·1 answer
  • If I push on the wall with 75 Newtons of force, the wall will push back with __
    13·1 answer
  • Dr. Prometheus wants to describe the attitudes of all 18-year-old Houstonians concerning the legalization of marijuana. She rand
    6·1 answer
  • How can you make the potential energy as high as possible in a magnetic field between one electromagnet and one piece of iron?
    12·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!