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
IRISSAK [1]
3 years ago
8

A 0.37-kg object connected to a light spring with a force constant of 23.2 N/m oscillates on a frictionless horizontal surface.

The spring is compressed 4.0 cm and released from rest.(a) Determine the maximum speed of the object.(b) Determine the speed of the object when the spring is compressed 1.5 cm.(c) Determine the speed of the object as it passes the point 1.5 cm from the equilibrium position.(d) For what value of x does the speed equal one-half the maximum speed?
Physics
1 answer:
mars1129 [50]3 years ago
6 0

Answer:

a) v = 31.67 cm / s , b)   v = -29.36 cm / s , c) v= 29.36 cm/s, d) x = 3.46 cm

Explanation:

The angular velocity in a simple harmonic movement is

       w = √ K / m

       w = √ 23.2 / 0.37

       w = 7,918 rad / s

a) the expression against the movement is

        x = A cos (wt + Ф)

Speed ​​is

        v = dx / dt = - A w sin (wt + Ф)

 The maximum speed occurs for cos = ± 1

        v = A w

        v = 4.0 7,918

        v = 31.67 cm / s

b) as the object is released from rest

        0 = -A w sin (0+ Фi)

        sin Ф = 0

         Ф = 0

The equation is

        x = 4.0 cos (7,918 t)

        v = -4.0 7,918 sin (7,918 t)

        v = - 31.67 sin (7.918t)

     

Let's look for the time for a displacement of x = 1.5 cm, remember that the angles must be in radians

          7,918 t = cos⁻¹ 1.5 / 4.0

          t = 1,186 / 7,918

          t = 0.1498 s

We look for speed

         v = -31.67 sin (7,918 0.1498)

         v = -29.36 cm / s

c) if the object passes the equilibrium equilibrium position again at this point the velocity has the same module, but the opposite sign

         v = 29.36 cm / s

d) let's look for the time for the condition v = v_max / 2

         31.67 / 2 = 31.67 sin ( 7,918 t)

          7.918t = sin⁻¹ 0.5

         t = 0.5236 / 7.918

         t = 0.06613

With this time let's look for displacement

         x = 4.0 cos (7,918 0.06613)

        x = 3.46 cm

You might be interested in
Which ball has the greater average speed during the 1-s interval after release (assuming neither hits the ground during that tim
notka56 [123]

Answer:

The ball thrown downward

Explanation:

When the ball is thrown vertically, the acceleration of it is the gravity acceleration independent if it is thrown downward or upward. However, the acceleration is a vector, so, when the ball is thrown upward, the movement is against the gravity, so the acceleration is negative, and so, the velocity decreases during time; and when the ball is thrown downward, the movement goes to the gravity, so the acceleration is positive, so the velocity increase after time passes.

3 0
3 years ago
How does a helicopter fly ? ( I need it explained in the view of physics)
Zielflug [23.3K]

Answer:

because blades of helicopter create a high pressure difference between lower and higher portion of blade so due to this pressure difference helicopter became able to fly.

Explanation:

for instant answer

join wats up group

just scan it

post question

get answer from trusted experts for free

3 0
3 years ago
Read 2 more answers
Think about Newton's 2nd Law, Force equals mass times acceleration. Liz puts a 1 kg weight and a 10 kg weight on identical wagon
Alexeev081 [22]
More force is needed for more mass. Therefore, if the mass is greater and the force is not enough then the object will less likely accelerate
5 0
3 years ago
Read 2 more answers
What is cartilage?
Sphinxa [80]

"The connective tissue that's found between bones."

An example would be between the vertabrae in the spine.

Like the other (inappropriate) answer said, a ligament is what attches muscles and bones.

Also, the tissue inside of bones is bone marrow.

If you know that, you can take out those two options (Option 1 and 3)

5 0
2 years ago
A stable, binary ionic compound exists where the cation (A) has a charge twice in magnitude than that of the anion (X). What wou
svetlana [45]
<span>The cation is positively charged and has a charge twice that of the anion, for example +2. The anion is negatively charged and in our example where the cation has a +2 charge, it must have a -1 charge. In order for the charges to equal zero, there must be two anions: -1 x 2 = -2 So the answer is D. AX2</span>
8 0
3 years ago
Read 2 more answers
Other questions:
  • What is the linkin park song that has rattling metal noise in it?
    15·1 answer
  • 3) A person catches a ball with a mass of 145 g dropped from a height of 60.0 m above his glove. His hand stops the ball in 0.01
    8·1 answer
  • What are the three main types of rocks?​
    15·2 answers
  • A cylinder contains 250 L of hydrogen gas (H2) at 0.0^∘Cand a pressure of 10.0 atm. How much energy is required to raise the tem
    15·1 answer
  • At the surface of Jupiter's moon Io, the acceleration due to gravity is 1.81 m/s2 . A watermelon has a weight of 40.0 N at the s
    10·1 answer
  • Given that the mass of the Earth is 5.972 * 10^24 kg and the radius of the Earth is
    8·1 answer
  • Cardiorespiratory fitness is most likely to improve due to which of the following types of exercise?
    10·2 answers
  • Traveling in a circle requires a net force
    9·1 answer
  • Mass of block A above is 25-kg. Calculate the force of gravity on block A.
    15·1 answer
  • Why do water and table salt have very different properties?
    14·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!