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
Nostrana [21]
3 years ago
14

A glider of mass 0.240 kg is on a frictionless, horizontal track, attached to a horizontal spring of force constant 6.00 N/m. In

itially the spring (whose other end is fixed) is stretched by 0.100 m and the attached glider is moving at 0.400 m/s in the direction that causes the spring to stretch farther. What is the total mechanical energy (kinetic energy plus elastic potential energy) of the system?
Physics
1 answer:
Sveta_85 [38]3 years ago
6 0

Answer:

E_M=0.0492J.

Explanation:

The mechanical energy of the system will be the kinetic energy plus the elastic potential energy: E_M=K+U_e.

We know that the equation for the kinetic energy is K=\frac{mv^2}{2}, where <em>m </em>is the mass of the object and <em>v </em>its velocity.

We know that the equation for the elastic potential energy is U_e=\frac{k\Delta x^2}{2}, where <em>k</em> is the spring constant and \Delta x the compression (or elongation) respect to equilibrium.

So for our values we have:

E_M=K+U_e=\frac{mv^2}{2}+\frac{k \Delta x^2}{2}=\frac{(0.24kg)(0.4m/s)^2}{2}+\frac{(6N/m)(0.1m)^2}{2}=0.0492J.

You might be interested in
Suppose the student in (Figure 1) is 68kg, and the board being stood on has a 12kg mass. What is the reading on the left scale?
lesantik [10]

The equilibrium conditions allow to find the results for the balance forces are:

  • F₁ = 225.4 N
  • F₂ = 558.6 N

When the acceleration is zero we have the equilibrium conditions for both linear and rotational motion.

            ∑ F = 0

            ∑ τ = 0

           

Where F are the forces and τ the torques.

The torque  is the product of the force and the perpendicular distance to the point of support,

The free-body diagrams are diagrams of the forces without the details of the bodies, see attached for the free-body diagram of the system.

We write the translational equilibrium condition.

           F₁ - W₁ - W₂ + F₂ = 0

We write the equation for the rotational motion, set our point of origin at scale 1, and the counterclockwise turns are positive.

         F₂ 2 - W₁ 1 - W₂ 1.5 = 0\frac{W_1  \ 1 + W_2 \ 1.5}{2}

Let's calculate F₂

         F₂ = \frac{W_1 \ 1 + W_2 \ 1.5 }{2}  

         F₂ = (m g + M g 1.5)/ 2

         F₂ = \frac{(12 + 68 \ 1.5 ) \  9.8}{2}  

         F₂ = 558.6 N

We substitute in the translational equilibrium equation.

         F₁ = W₁ + W₂ - F₂

         F₁ = (m + M) g - F₂

         F₁ = (12 +68) 9.8 - 558.6

         F₁ = 225.4 N

In conclusion using the equilibrium conditions we can find the forces of the balance are:

  • F₁ = 225.4 N
  • F2 = 558.6 N

Learn more here:  brainly.com/question/12830892

5 0
2 years ago
Jin knows that the initial internal energy of a closed system is 78 J and the final internal energy is 180 J. He also knows that
lawyer [7]

As we know by the first law of thermodynamics

Q = \Delta U + W

here we know that

Q = heat given to the system

\Delta U = U_f - U_i

W = work done by the system

now here we can say

\Delta U = 180 - 78 = 102 J

W = 64 J

now we can say that heat will be given as

Q = 64 + 102 = 166 J

now here we can say that Jin does the error in his first step while calculation of change in internal energy as he had to subtract it while he added the two energy

So best describe Jin's Error is

<em>B )For step 1, he should have subtracted 78 J from 180 J to find the change in internal energy. </em>

8 0
3 years ago
Please help me with this question, especially the angle part. I have solved the initial velocity already. I don't know what to d
Helga [31]
I think you almost got it.

At the top, the velocity only has horizontal component, so v=12 m/s is v_x, which is v*cos(theta), because v_x is constant, so the same when it was launched or now.

With the value of the initial speed (28 m/s, which is the total speed), you can set

v_x = v * cos( theta ) ---> 12 = 28*cos(theta) --> cos(theta)=12/28=3/7

or theta = 64.62 deg, it is D. Think about it. I hope you see it.
5 0
3 years ago
Use the values from PRACTICE IT to help you work this exercise. If the current in each wire is doubled, how far apart should the
melisa1 [442]
Which behavior would best describe someone who has good communication skills with customers ? a) Following up with some customers b) Talking to customers more than listening to them c) Repeating back what the customer says d) Interrupting customers frequently
8 0
3 years ago
You have an electrically neutral toy that you divide into two pieces. You notice that at least one of those pieces has an electr
den301095 [7]

Answer:

The pieces will attract one another

Explanation:

From the law of conservation of energy, we know that energy can neither be created nor destroyed, but transformed. If one piece of the toy that was neutral ends up having an electric charge (positive or negative), from the conservation of energy, the other piece must have a charge opposite to that on the other charged piece but equal in magnitude. These two pieces which are oppositely charged attracts each other, this shows that electric charge is conserved.

8 0
3 years ago
Other questions:
  • The magnetic field at the earth's surface can vary in response to solar activity. During one intense solar storm, the vertical c
    6·1 answer
  • John and Linda are arguing about the definition of density. John says the density of an object is proportional to itsmass. Linda
    6·1 answer
  • What formal regions are located in the western hemisphere
    12·1 answer
  • PLEASE HELP I NEED THIS ANSWER BADLY!!!!!!!! Explain how might an animal respond to stimuli as compared to a plant?
    7·1 answer
  • What effect would increasing the number of loops in a coil of wire have on an elctromagnet
    11·2 answers
  • Fill in the blanks for the following:
    14·1 answer
  • One of the predicted problems due to global warming is that ice in the polar ice caps will melt and raise sea level everywhere i
    13·1 answer
  • Biotic factors and abiotic factor temperature
    8·1 answer
  • I will give brainly
    12·1 answer
  • A plane’s average speed is 600 km/hr. If the trip takes 2.5 hours how far does a plane fly?
    15·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!