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
Nezavi [6.7K]
3 years ago
10

What can you conclude about the total mechanical energy of a pendulum as it swings back and forth?

Physics
1 answer:
Alchen [17]3 years ago
8 0

Answer:

The total mechanical energy of a pendulum is conserved neglecting the friction.

Explanation:

  • When a simple pendulum swings back and forth, it has some energy associated with its motion.
  • The total energy of a simple pendulum in harmonic motion at any instant of time is equal to the sum of the potential and kinetic energy.
  • The potential energy of the simple pendulum is given by P.E = mgh
  • The kinetic energy of the simple pendulum is given by, K.E = 1/2mv²
  • When the pendulum swings to one end, its velocity equals zero temporarily where the potential energy becomes maximum.
  • When the pendulum reaches the vertical line, its velocity and kinetic energy become maximum.
  • Hence, the total mechanical energy of a pendulum as it swings back and forth is conserved neglecting the resistance.
You might be interested in
Question 1 (13 marks) A charge Q is located on the top-left corner of a square. Charges of 2Q, 3Q and 4Q are located on the othe
tino4ka555 [31]

Answer:

F = 45 (2.4142 i ^ + 4.414 j ^)

  F = 226.40 N,           θ= 61.3

Explanation:

For this exercise we will use that the forces are vectors and we will add them, the force due to being electric charges must comply, go Coulomb's law

         F₁₂ = k q₁ q₂ / r₁₂²

To apply this equation to our case, they indicate that all charges are of the same sign and their value, also the charge Q is located in the upper left corner, unfortunately the diagram of the other charges is not loaded, but the most general is that is in sequence, see attached, for the sum of the forces let's add its components

x-axis (horizontal)

         Fₓ = F₂₁ + F₂₄ₓ

Let's use trigonometry for the force component, as the weathering figure is a square the angle between the force and the x axis is 45

        cos 45 = F₂₄ₓ / F₂₄

         F₂₄ₓ = F₂₄ cos 45

y-axis (vertical)

        F_{y} = F₂₃ + F_{24y}

        sin 45 = F_{24y} / F₂₄

        F_{24y} = F₂₄ sin 45

let's search every distance

The side of the square is worth l = 5cm = 0.05 m

we can find the diagonal with the Pythagorean theorem

         d = √(l² + l²) = l √2

now we can search every force

         F₂₁ = k q₁ q₂ / r₁₂²

         F₂₁ = k Q 2Q / l²

         F₂₁ = k 2Q² / l²

this force points in the positive x direction

         F₂₃ = k q₂ q₃ / r₂₃²

         F₂₃ = k 2Q 3Q / l²

this force points in the direction of the positive y

         F₂₄ = k q₄q₂ / d²

         F₂₄ = k 4Q 2Q / 2 l²

let's find the resultant in each x

X axis

        Fₓ = k 2Q² / l² + k 8Q² / 2 l²    cos 45

        Fₓ = k 2Q² / l² (1 + 4/2 cos 45)

        Fₓ = k 2Q²/ l²   2.4142 i ^

Axis y

       F_{y} = k 6Q² / l² + k 8Q² / 2 l²    sin 45

       F_{y} = k 2Q² / l² (3 + 4/2 sin45)

       F_{y} = k 2Q² / l² (4,414)

       

the resultant force

       F = Fₓ i ^ + F_{y} j ^

       F = k 2Q² / l²      ( 2.4142 i ^ + 4.414 j ^)

       

let's substitute the values

       F = 9 10⁹ 2 (2.5 10⁻⁶) 2 / 0.05²      (2.4142 i ^ + 4.414 j ^)

       F = 45 (2.4142 i ^ + 4.414 j ^)

The result we can give is this form and in the form of module and angle

             

let's use the Pythagorean theorem to find the modulus

            F =√ (Fₓ² +  F_{y}²)

            F = 45 √ (2.4142² + 4.414²)

            F = 226.40 N

we use trigonometry for the angle, measured from the x-axis

           tan θθ = Fy / Fx

          θ  = tan⁻¹ (4.414 / 2.4142)

           θ= 61.3

3 0
3 years ago
A box is initially at rest on a horizontal, frictionless table. If a force of 10
lukranit [14]

Answer: 18

Explanation:

i think

8 0
3 years ago
Could you guys tell me whether the photo represents a balanced or unbalanced equation​
NARA [144]

Answer:

that is preatty balenced m8

Explanation:

6 0
3 years ago
You are designing a new solenoid and experimenting with material for each turn. The particular turn you are working with is a ci
andriy [413]

Answer:

The magnitude of the magnetic field B at the center of the loop is 5.0272 x 10⁻⁴ T.

Explanation:

Given;

Radius of circular loop, R = 3.00 cm = 0.03 m

Current in the loop, I = 12.0 A

Magnetic field at the center of circular loop is given as;

B = μ₀I / 2R

Where;

μ₀ is constant = 4π x 10⁻⁷ T.m/A

R is the radius of the circular loop

I is the current in the loop

Substitute the given values in the above equation and calculate the magnitude of the magnetic field;

B = (4π x 10⁻⁷ x 12)/ 0.03

B = 5.0272 x 10⁻⁴ T

Therefore, the magnitude of the magnetic field B at the center of the loop is 5.0272 x 10⁻⁴ T.

8 0
3 years ago
The diameter of Saturn is nearly ten times that of Earth. However, the density of Saturn is much less than that of Earth. What i
Tatiana [17]

Answer:

Saturn is a gaseous planet

7 0
3 years ago
Other questions:
  • We’re measuring the velocity, so that we can find the change in kinetic energy. Where should you place the photogate to measure
    9·1 answer
  • Jeremy pulled on the spring scale below. how could he decrease the force needed?
    10·1 answer
  • A car with s mass of 2000 kilograms is moving around a circular curve at a uniform velocity of 25 meters per second. The curve h
    6·2 answers
  • Our Sun is all of the following EXCEPT ____.
    11·2 answers
  • If you could travel to a star 25 light-years away and return to earth at nearly the speed of light, how much time would elapse o
    11·2 answers
  • Suppose that you are on an unknown planet in a distant galaxy. Let the length of a physical pendulum be 1.02 m. In the physical
    14·1 answer
  • A 1840-kg car travels on a banked, horizontal curve of diameter 225 m. Find the maximum safe speed if the coefficient of frictio
    11·1 answer
  • PLS ANSWER FAST WILL GIVE BRAINLYEST!!!!!!!
    11·1 answer
  • A wheel starts from rest at an angle of zero, and has
    13·1 answer
  • A rotating, funnel-shaped column of air that extends down to the ground is called a(n) . If it does not reach the ground it is c
    8·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!