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
erastovalidia [21]
3 years ago
8

Additional Problem: A simple pendulum, consisting of a string (of negligible mass) of length L with a small mass m at the end, i

s initially held horizontal (θ = 90o) and then released. (a) What is the maximum velocity that the mass attains after release? (b) At what angle, θm, is the power delivered to the ball by gravity a maximum as the pendulum swings down? Take θ = 0 when the pendulum is vertical.
Physics
1 answer:
kykrilka [37]3 years ago
5 0

Answer:

a)   v = √ 2gL  abd  b)  θ = 45º

Explanation:

a) for this part we use the law of conservation of energy,

Highest starting point

       Em₀ = U = mg h

Final point. Lower

       Em₂ = ½ m v²

      Em₀ = Em₂

      m g h = ½ m v²

      v = √2g h

      v = √ 2gL

b) the definition of power is the relationship between work and time, but work is the product of force by displacement

     P = W / t = F. d ​​/ t = F. v

If we use Newton's second law, with one axis of the tangential reference system to the trajectory and the other perpendicular, in the direction of the rope, the only force we have to break down is the weight

     sin θ = Wt / W

     Wt = W sin θ

This force is parallel to the movement and also to the speed, whereby the scalar product is reduced to the ordinary product

     P = F v

The equation that describes the pendulum's motion is

    θ = θ₀ cos (wt)

Let's replace

    P = (W sin θ) θ₀ cos (wt)

    P = W θ₀ sint θ cos (wt)

We use the equation of rotational kinematics

    θ = wt

    P = Wθ₀ sin θ cos θ

Let's use

   sin 2θ = 2 sin θ cos θ

   P = Wθ₀/2 sin 2θ

This expression is maximum when the sine has a value of one (sin 2θ = 1), which occurs for 90º,

    2θ = 90

    θ = 45º

You might be interested in
Can someone answer this please I’ll give brainliest
Alinara [238K]

Answer:

The last one is false

Explanation:

Energy can be neither created or destroyed. It can only move from one type of energy to another.

6 0
3 years ago
Two balls, ball A and ball B, are dropped from the same height onto the same surface. If ball A rebounds to a higher height than
mamaluj [8]

Answer:

its b

Explanation:

3 0
2 years ago
A ping pong ball with a dent in it can be put into a pan of boiling water. After a short amount of time, the dent will pop out.
kifflom [539]

heat from water goes into air in ball

air expands

ping goes the dent

6 0
3 years ago
Read 2 more answers
You and some friends decide to take a canoe trip down the Wood River. The stretch of river you are traveling flows at a roughly
Anna35 [415]

Answer:

t= 1.2 hours

Explanation:

Define first di distance between the points, so

\bar{x}_{canoe}=2*(2+3)=10

\bar{x}_{water}=2*2=4

The distance is

d= \bar{x}_{canoe}- \bar{x}_{water}

d= 10-4 = 6miles

t = \frac{x}{v} = \frac{6}{2+3}

t= 1.2 hours

5 0
3 years ago
In the picture of the atom above, what subatomic particle does the letter A represent?
ra1l [238]

Answer:

Electron

Explanation:

In the picture, the letter A is pointing to an electron.

4 0
2 years ago
Other questions:
  • A physics teacher performing an outdoor demonstration suddenly falls from rest off a high cliff and simultaneously shouts "Help.
    14·1 answer
  • Bowling balls are roughly the same size, but come in a variety of weights. Given its official radius of roughly 0.110 m, calcula
    12·1 answer
  • What is true of systems in terms of their size and boundaries?
    12·2 answers
  • Io, a satellite of Jupiter, is the most volcanically active moon or planet in the solar system. It has volcanoes that send plume
    15·2 answers
  • found the potential spring energy. not sure how to find the height of the block by knowing only the mass. found the weight of it
    6·1 answer
  • In transverse waves, the medium moves perpendicular to the direction of energy transport? True or false?
    5·1 answer
  • I need help on this.
    7·1 answer
  • Who are people that you can go to for help name three?
    9·2 answers
  • If someone drops a cup, it falls to the ground. Why doesn't the gravitational force between the person's hand and the cup keep t
    15·1 answer
  • Most new jobs in the United States will be in the _____.
    7·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!