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
Nady [450]
2 years ago
14

A 927 g mass is connected to a light spring of force constant 5 N/m that is free to oscillate on a horizontal, frictionless trac

k. The mass is displaced 8 cm from the equilibrium point and released from rest. 5 N/m 927 g 8 cm x = 0 x Find the period of the motion. Answer in units of s.

Physics
2 answers:
liraira [26]2 years ago
5 0

Answer:

2.7 s

Explanation:

The period of the motion of a massless loaded spring is given by

T = 2\pi\sqrt{\dfrac{m}{k}}

where m is the mass of the load and k is the force or spring constant.

Using values in the question and converting to appropriate units,

T = 2\pi\sqrt{\dfrac{927\times10^{-3}\text{ kg}}{5 \text{ N/m}}}= 2.7\text{ s}

In-s [12.5K]2 years ago
4 0

Explanation:

Below is an attachment containing the solution.

You might be interested in
How would you find the average speed of a cyclist throughout an entire race
pishuonlain [190]
<span>Velocity, you divide distance/time </span>
4 0
2 years ago
A block is released to slide down a frictionless incline of 15∘ and then it encounters a frictional surface with a coefficient o
Elodia [21]

The block's potential energy at the top of the incline (at a height h from the horizontal surface) is equal to its kinetic energy at the bottom of the incline, so that

mgh = 1/2 mv²

where v is its speed at the bottom of the incline. It follows that

v = √(2gh)

If the incline is 20.4 m long, that means the block has a starting height of

sin(15°) = h/(20.4 m)   ⇒   h = (20.4 m) sin(15°) ≈ 5.2799 m

and so the block attains a speed of

v = √(2gh) ≈ 10.1728 m/s

The block then slides to a rest over a distance d. Kinetic friction exerts a magnitude F over this distance and performs an amount of work equal to Fd. By the work-energy theorem, this quantity is equal to the block's change in kinetic energy, so that

Fd = 0 - 1/2 mv²   ⇒   d = (-1293.58 J)/F

By Newton's second law, the net vertical force on the block as it slides is

∑ F [vertical] = n - mg = 0

where n is the magnitude of the normal force, so that

n = mg = (25 kg) g = 245 N

and thus the magnitude of friction is

F = -0.16 (245 N) = -39.2 N

(negative since it opposes the block's motion)

Then the block slides a distance of

d = (-1293.58 J) / (-39.2 N) ≈ 32.9994 m ≈ 33 m

5 0
2 years ago
gwendolyn has a mass of 17 kg. she is riding her scooter at 1.15 m/s to the right when she runs into maya. maya has a mass of 13
kykrilka [37]
Inelastic collision happens when two objects joined and move together after the collision

7 0
3 years ago
ver shines light up to the surface of a flat glass-bottomed boat at an angle of 30 relative to the normal. If the index of refr
Free_Kalibri [48]

Answer:

\beta = 41.68°

Explanation:

according to snell's law

\frac{n_w}{n_g} = \frac{sin\alpha}{sin30 }

refractive index of water n_w is 1.33

refractive index of glass  n_g  is 1.5

sin\alpha = \frac{n_w}{n_g}* sin30

sin\alpha = 0.443

now applying snell's law between air and glass, so we have

\frac{n_g}{n_a} = \frac{sin\alpha}{sin\beta}

sin\beta = \frac{n_g}{n_a} sin\alpha

\beta = sin^{-1} [\frac{n_g}{n_a}*sin\alpha]

we know that sin\alpha = 0.443

\beta = 41.68°

7 0
3 years ago
A .100 kg bullet is flying at 200 m/s. How much energy is the bullet storing due to its motion?
morpeh [17]

KE = 2000 J

Explanation:

KE = (1/2)mv^2

= (1/2)(0.100 kg)(200 m/s)^2

= 2000 J

4 0
2 years ago
Other questions:
  • If you throw a red stone into the blue sea what it will become?
    8·1 answer
  • What is the most common source of energy for surface waves
    10·1 answer
  • On the continuum of traditional dramatic outcomes, what is the opposite of death? life birth love marriage
    10·2 answers
  • How do inertia and centripetal force combine to keep an object moving in circular motion?
    8·2 answers
  • Mendeleev noticed that if he organized the elements by atomic weight certain patterns emerged. For instance, elements in the sam
    12·2 answers
  • Two stationary point charges of 3.00 nC and 2.00 nC are separated by a distance of 50.0 cm. An electron is released from rest at
    7·1 answer
  • A man jogs at a velocity of 2.5 m/s west for 1,200 s. He then walks at a velocity 1.0 m/s east for 500 s and then stops to rest
    12·1 answer
  • PLEASE HELP: An engineer is designing a runway. She knows that a plane, starting at rest, needs to reach a speed of 140mph at ta
    5·1 answer
  • How many significant digits are there in 11.090 mL?<br> a. 5<br> b. 3<br> C. 1<br> d. 2
    13·1 answer
  • An astronaut travels to a star system 3.9 lyly away at a speed of 0.90 cc . Assume that the time needed to accelerate and decele
    11·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!