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
Vika [28.1K]
3 years ago
13

A block sliding on a horizontal surface is attached to one end of a horizontal spring with spring constant k=432 Nm ; the other

end of the spring is fixed in place. The block has a kinetic energy of 20.7 J as it passes through the spring's equilibrium position. As the block slides, a frictional force of magnitude 24 N acts on it. (a) How far will the block slide from the equilibrium position before coming momentarily to rest? (b) What will be the kinetic energy of the block as it slides back through the equilibrium position?
Physics
1 answer:
Nadya [2.5K]3 years ago
6 0

Answer:

a)

0.26 m

b)

8.2 J

Explanation:

a)

Consider the motion of the block between equilibrium point and the point where it comes to a stop

KE_{o} = initial Kinetic energy of the block at equilibrium position = 20.7 J

k = spring constant of the spring = 432 Nm⁻¹

f = frictional force acting on the block = 24 N

x = stretch in the spring caused before it stops

Using conservation of energy at initial equilibrium point and stopping point

Kinetic energy at equilibrium position = Spring energy at the stopping point + magnitude of work done by frictional force

KE_{o} = (0.5)kx^{2} + fx

inserting the values

20.7 = (0.5)(432)x^{2} + (24)x

(216)x^{2} + (24)x - 20.7 = 0

x = 0.26 m

b)

Consider the motion of the block between equilibrium point and the same point when it returns

KE_{o} = initial Kinetic energy of the block at equilibrium position = 20.7 J

KE_{o} = final Kinetic energy of the block at equilibrium position while returning

f = frictional force acting on the block = 24 N

d = distance traveled by the block = x + x =  2x

Using conservation of energy at initial equilibrium point and stopping point

Kinetic energy at equilibrium position = Kinetic energy at equilibrium while returning + magnitude of work done by frictional force

KE_{o} = KE_{o} + 2 fx

inserting the values

20.7 = KE_{o} + 2 (24)(0.26)

20.7 = KE_{o} + 12.5

KE_{o} = 8.2 J

You might be interested in
"Videos of hoverboard riders who were injured when they fell while operating their hoverboards at a low speeds "went viral" over
bagirrra123 [75]

Answer:

The answer is "No, Hoverboards are risky, and riders are in danger of falling".

Explanation:

It's also known as a self-balanced scooter, it handheld electrical devices traveling on two wheels are hoverboards. It dominated the industry around 2015 and since then has become more and more successful. A rider is balanced on a frame between these wheels, driven by battery-powered lithium-ion batteries.

8 0
2 years ago
Consider a spherical capacitor with radius of the inner conducting sphere a and the outer shell b. The outer shell is grounded (
AleksAgata [21]

Answer:

Explanation:

The application of Gauss's law is used in the derivation as shown with detailed step by step in the attached file.

The potential difference on this spherical capacitor is ΔV = Va - Vb = kQ/a - kQ/b = kQ(1/a - 1/b)

6 0
3 years ago
If an electron is accelerated from rest through a potential difference of 1.60 x 102V, what is its de Broglie wavelength
Ivahew [28]

Answer:

0.09 x10^-10m

Explanation:

Using wavelength=( 12.27 A)/√V

= 12.27 x 10^-10/ √1.6x10^2

= 0.09x10^-10m

7 0
3 years ago
The zone of earthquakes and volcanoes surrounding the pacific ocean is called
gulaghasi [49]

Answer:

The Ring of Fire

Explanation:

The ring of fire is also called the Circum-Pacific Belt, it is a path along the pacific ocean consisting of active volcanoes and frequent earthquakes.

It has a length of approximately 40,000 kilometers. It lies on the edge of tectonic plates where the in-earth vibrations and geothermal energies are prone to erupt out.

Ring of fire inhibits about 75% o the earth's volcanoes and 95% of earthquakes occur in this region.

3 0
3 years ago
If two temperatures differ by 25 degrees on Celsius scale, the difference of temperature on Fahrenheit scale is?
Mekhanik [1.2K]

Answer:

25 x 9/5 = 45 degrees Fahrenheit

Explanation:

4 0
2 years ago
Other questions:
  • How do the positions of the hot and cold water affect the speed of convection
    14·2 answers
  • Does voltage remain the same throughout a series circuit
    6·2 answers
  • How to use kinetic energy to calculate velocity
    14·1 answer
  • Why is it important for scientists to replicate each other’s experiments?
    14·2 answers
  • When you boil water in a pot on the stove, the metal pot heats up faster than the water because the pot
    10·2 answers
  • True or false? Please help me !
    6·1 answer
  • A quantity that has direction as well as size is a scalar.<br><br><br> True or False
    5·2 answers
  • [W]?
    14·1 answer
  • I need help with this question
    12·1 answer
  • Which moon shows evidence of rainfall and erosion by some liquid substance?.
    8·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!