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
oee [108]
3 years ago
13

A 0.108-kg block is suspended from a spring. When a small pebble of mass 31 g is placed on the block, the spring stretches an ad

ditional 4.9 cm. With the pebble on the block, the block oscillates with an amplitude of 10 cm. Find the maximum amplitude of oscillation at which the pebble will remain in contact with the block.
Physics
1 answer:
scoundrel [369]3 years ago
7 0

Answer:

A = 0.22 m

Explanation:

The spring with the block and the pebble forms an oscillatory system, this system is described by the expression

         x = A cos (wt + φ)

         w = √ (k / m).

The data they give us is the amplitude of the movement (A = 10 cm), the oscillation mass is equal to the block mass plus the mass of the pebble

         m = m + M

         m = 0.031 + 0.108

         m = 0. 139 kg

To find the spring constant let's use Hooke's law

         F = k X

The force is the weight of the pebble and the additional elongation is x = 4.9 cm, let's calculate

         k = F / x

         k = mg / x

         k = 0.031   9.8 / 0.049

         k = 6.2 N / m

Let's look for angular velocity

        w = √ (6.2 / 0.139)

        w = 6,670 rad / s

Let's write the oscillation equation with this data

         x = 0.10 cos (6,670 t)

For the pebble to remain in contact with the block, the acceleration of the spring system plus block with pebble must be less than the acceleration of gravity in the descending oscillation

Let's look for system acceleration

         a = d²x / dt²

         dx / dt = - A w sin (wt + Ф)

         d²x / dt² = - A w² cos (wt+Ф)

To find the maximum value cos (wt) = ±1

         g = A w²

         A = g / w²

         A = 9.8 / 6.67²

         A = 0.22 m

When the amplitude of the oscillation exceeds this value the pebble is delayed with respect to the block

You might be interested in
A race car driver loses his leg in an accident. Apply Lamarck's and Darwin's theories of evolution to predict whether this disab
ASHA 777 [7]
It will not be carried to children ... because genetic defect can be carried to children, not the defect during his lifetime
7 0
3 years ago
A hair dryer is a pump for air. Do a battery and a Genecon act like pumps for charge?
lyudmila [28]

Answer:

No

Explanation:

8 0
3 years ago
Read 2 more answers
Visible light represents a very small portion of the electromagnetic spectrum. Radiation to the left in the image, such as micro
amid [387]
X rays have a higher frequency so A
4 0
3 years ago
Read 2 more answers
One’s behavior cannot be affected by one’s subconscious
igomit [66]

That statement is false

Our subconscious tend to give a strong influence to our behaviours even if we are not feeling it directly.

For example, let's say that there is a boy that hurt by cats and it's ingrained in his head that cats possess high level of danger to him. Even after that boy grow up, his subsconcious would most likely cause a certain level of paranoia that make him either scared of cats or simply annoyed by seeing them.

3 0
3 years ago
Read 2 more answers
What is the current in a 160V circuit if the resistance is 2Ω? V= I= R =
sveta [45]

Answer:

80 amperes

Explanation:

Current in the circuit = ?

Voltage in the circuit = 160 Volts

Resistance = 2 Ω

Voltage = Current x Resistance

V = IR

160V = I x 2 Ω

I = 160V / 2 Ω

I = 80 Amperes

Therefore the current in the circuit is 80 amperes :)

8 0
3 years ago
Other questions:
  • Which of the following conditions will maximize the amount of interest you earn?
    8·1 answer
  • 3. How does the vapor pressure of water at 10°C compare with its vapor pressure at 50°C? The vapor pressure of water is lower at
    11·2 answers
  • What sentence(s) is/are true when we talk about equipotential lines?
    14·1 answer
  • A certain part of the electromagnetic spectrum ranges from 200 nm to 400 nm. what is the highest frequency associated with this
    14·1 answer
  • Atomic number equals the number of _______ or the number of ______. * giving brainly*
    9·2 answers
  • A jogger runs at an average speed of 5 m/s for 3 minutes, then finishes with an average speed of 4 m/s for 2 minutes. What is hi
    6·1 answer
  • The pedals on a bicycle give a mechanical advantage by allowing you to turn the pedals a __________ distance to turn the _______
    8·1 answer
  • What happened to the speed of light if it travels from air into glass?
    14·1 answer
  • Particles q1 = -53.0 uc, q2 = +105 uc, and
    7·1 answer
  • Elizabeth .........................................................................
    10·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!