5. An acrobat, starting from rest, swings freely on a trapeze of
length 3.7 m (Figure 6). If the initial angle of the trapeze is
48°, use the law of conservation of energy to determine
(a) the acrobat's speed at the bottom of the swing
(b) the maximum height, relative to the initial position, to
which the acrobat can rise
Answers
The energy conservation and trigonometry we can find the results for the questions about the movement of the acrobat are;
a) The maximum speed is v = 4.89 m / s
b) The maximum height is h = 1.22 m
The energy conservation is one of the most fundamental principles of physics, stable that if there are no friction forces the mechanistic energy remains constant. Mechanical energy is the sum of the kinetic energy plus the potential energies.
Em = K + U
Let's write the energy in two points.
Starting point. Highest part of the oscillation
Em₀ = U = m g h
Final point. Lower part of the movement
[tex]Em_f[/tex] = K = ½ m v²
Energy is conserved.
Emo = [tex]Em_f[/tex]
m g h = ½ m v²
v² = 2 gh
Let's use trigonometry to find the height, see attached.
h = L - L cos θ
h = L (1- cos θ)
They indicate that the initial angle is tea = 48º and the length is L = 3.7 m, let's calculate.
h = 3.7 (1- cos 48)
h = 1.22 m
this is the maximum height of the movement.
Let's calculate the velocity.
[tex]v= \sqrt{2 \ 9.8 \ 1.22}[/tex]
v = 4.89 m / s
In conclusion using the conservation of energy and trigonometry we can find the results for the questions about the movement of the acrobat are;
a) The maximum speed is v = 4.89 m / s
b) The maximum height is h = 1.22 m
Learn more here: brainly.com/question/13010190
Related Questions
What generates the energy produced when small light atoms are combined into heavier ones
A. Fusion reactions
B. Chemical reactions
C. Fission reactions
D. Nuclear chain reactions
Answers
Answer:
A. Fusion Reactions
Explanation:
please answer right please
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Answer:
i think its A
Explanation:
I hope this helps :)
I NEED THIS BY TODAY DDD:
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Answer:
I can't see the picture, can you right down the same thing that is the picture in the comments so I can help you.
Explanation:
Thx.
given a force of 88N and an acceleration of 4 m/s 2, what is the mass?
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Answer:22kg
Explanation:
from F=ma, 88=4m, m=22kg
How does water temperature affect density?
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What can the magnetic fields influence?
A) It can cause objects to be pulled towards the magnet and pushed away from the magnet.
B) It only causes a repel force between the magnets.
C)It cause only an attraction force.
Answers
Explanation:
Magnetic fields are areas where an object exhibits a magnetic influence. The fields affect neighboring objects along things called magnetic field lines. A magnetic object can attract or push away another magnetic object. You also need to remember that magnetic forces are NOT related to gravity.
You are carrying a heavy bag of sand, not realizing it has a hole in the bottom. As you are walking, the bag becomes easier to carry. Explain this situation using Newton's Second Law
Answers
Newtons second law of motion states that, the force acting on a body is directly proportion to the mass times the acceleration of the body
The equation use to represent the second law is given below
F = ma
Explanation of the situation: When the heavy bag was being carried initially , the full weight will be felt, but as the bag keeps losing more sand the weight will be reducing and so the force the person carrying the bag will feel will become less and this will go on as more sand keeps dropping off the bag
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A train is running at a speed of 60 m/s . what will this speed be in km/h ?
don't answer if u don't know
spammers = reported
Answers
Speed= 60 m/s
for converting m/s to km/h =multiply with 5/18
for converting km/h to m/s= multiply with 18/5
so, 60 × ( 18/50) = 216 km/h
2. physical quantities which do not depend on any physical quantities for their measurements are known as
Answers
Answer:
Fundamental quantities
How does the radius of a string affect centripetal force.
Answers
Answer:
because a raduis is half of 25% of a cicrle.
Explanation:
Rubies are used in electronics.
Please select the best answer from the choices provided
) Т
) F
Answers
Where could light travel the easiest and fastest?
A) through air
B) through empty space
C) through liquid hydrogen
Answers
Explanation:
Light travels fastest through air
Answer:
try through air
Explanation:
what is radiation?....
Answers
Answer:
the emission of energy as electromagnetic waves or as moving subatomic particles, especially high-energy particles which cause ionization.
is called radiation
Answer:
Radiation is energy that comes from a source and travels through space at the speed of lightExplanation:
I hope it's help u
How many minutes did it take for all of the gold in the sample to change from solid to liquid? Time taken minutes =
Answers
Calculate the amount of time it takes to heat the water by dividing the power used to heat the water, which was determined to be 1.867 with the heater element rating, listed in kW. So if your heater element rating was 3.6 kW, your equation would look like this: heating time = 1.867 ÷ 3.6, or heating time =0.52 hours.
I couldn't answer this question may someone please help me
Answers
Distance (s) =20 m
Initial velocity =0 m/s
g=10 m/s²
By using the formula:
v²= u²+ 2as
v²=0²+ 2×10×15
v²= 300
V= 10root over 3
[tex]10 \sqrt{3} [/tex]
For calculating time,
v= u+ at
10 root over 3 = 0+ 10t
10 root over= 10t
t = 1 root over 3
t = 1.73 s
[tex]1 \sqrt{3} [/tex]
The the stone will hit the ground with a velocity of 10 root over 3 m/s in 1 root over 3 sec.
1. When a 50,000 kg rocket blasts off there is a large force that acts on the rocket at the moment
of take off. In 0.137 seconds, the rocket suddenly has traveled 4.2 meters. What force from
the rocket engines caused the acceleration? (Hint: first find acceleration.)
Answers
Hi there!
We can begin by calculating the acceleration using the kinematic equation:
d = vit + 1/2at²
Since the rocket starts from rest, we can rewrite this as:
d = 1/2at²
Plug in given values:
4.2 = 1/2a(0.137²) ⇒ a = 447.55 m/s²
Now, we can use Newton's Second Law to find the appropriate force:
∑F = m · a
∑F = 50,000 · 447.55 = 22,377,500 N
Compare the amplitude of these waves.
Answers
Answer:
a smooth
b less smooth
c faster
d faster than fast c
e to fast for fast
Explanation:
is putting water in a water bottle increasing its mass?
Answers
Answer:
No
Explanation:
Answer:
yes
Explanation:
Now explore friction force. Set the piece of plastic or wood on the table and push it steadily across the tabletop using your fingertip. Note how much opposition to your push you feel. Repeat the steps, but this time push the piece of plastic or wood across a rug, carpet, or piece of fabric. If you’re using fabric, be sure to secure the fabric so it doesn’t move. How does the opposition to the motion on the tabletop compare with that of the rug, carpet, or fabric? (I don't wanna do this so can someone answer this please)
Answers
Answer: If there is a higher friction, the opposition force is higher so that it can reduce our speed. So, a factor that affects friction is the roughness or smoothness of the surface of the object. In comparison of the table with the fabric, the fabric will have a more opposition force. As the surface of the fabric is usually rougher than the surface of a smooth table. As there is more friction on a fabric, we will feel more opposition force on our finger tip.
Hope it helped! :>
Which of the following correctly describes the law of conservation of matter?
Group of answer choices
A.) Matter can only be created, but not destroyed in chemical equations
B.) Matter can neither be created nor destroyed during a chemical reaction
C.) Matter can be destroyed during a chemical reaction as long as it is created again in a different reaction
D.) Matter makes up 98% of stuff in the universe, so it has to be created and destroyed sometimes
Answers
Answer:
C
Explanation:
Tama Po yan don't worry
31. TRUE or FALSE A cheese puff must contain C since CO2 was produced when it was burned,
I
Answers
Answer:
True
Explanation:
Why are saturn's rings so noticeable?.
Answers
Answer:
Why are Saturn's rings so noticeable? They are made of lots of fresh, bright icy particles from a recent breakup.
Explanation:
Taking Earth to be a perfect sphere, find the linear speed of a point located on the 32nd parallel, as a result of Earth’s rotation. The 32nd parallel north is a circle of latitude that is 32 degrees north of the Earth's equatorial plane. Take the Earth's radius to be 6,371,000 m
Answers
The linear speed of a point located on the 32nd parallel, as a result of Earth’s rotation is 392.91 m/s
We find the linear speed of a point on the 32nd parallel from v = rω where r = radius of 32nd parallel north = Rcos32° (since it is the radius of the small circle at the 32nd parallel) where R = radius of earth = 6,371,000 m and ω = angular speed of the earth = 2π/T where T = period of earth = 24h = 24 × 60 × 60 s = 86400 s.
So, v = rω
v = Rcos32° × 2π/T
v = 2πRcos32°/T
substituting the values of the variables into the equation, we have
v = 2πRcos32°/T
v = 2π × 6,371,000 m × cos32°/86400 s.
v = 2π × 6,371,000 m × 0.8480/86400 s.
v = 33947512.5035 m/86400 s
v = 392.91 m/s
So, the linear speed of a point located on the 32nd parallel, as a result of Earth’s rotation is 392.91 m/s
Learn more about linear speed here:
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An object of mass 10 kg is moving along positive x- axis with velocity 5 m/s. At some point it breaks into two parts of 6 kg and 4 kg. 6 kg moves making 600 with x –axis and 4 kg moves making -300 with axis. What is velocity of their centre of mass after breaking?
Answers
Explanation:
Correct option is
B
−3m/s
2
Given,
m=10kg
u=10m/s
v=−2m/s
t=4sec
The acceleration is rate of change of velocity,
a=
t
v−u
a=
4
−2−10
a=
4
−12
=−3m/s
2
The correct option is B.
Voltage ______
Question 1 options:
is measured in Volts
causes current
pushes free electrons around a circuit
all of the choices
Answers
all of the choices.
Explanation:
....
Solve 100N up 90N down for net force
Answers
Answer:
10 Newtons up
Hope this helps!
A sports car accelerates from 0 to 60mph ,27 m/s ,in 6.3 secounds .The car exerts a force of 4106N . What is the mass of the car
Answers
The car accelerates 60 mph in 6.3 seconds. Thus, the acceleration is [tex]\frac{60}{6.3}[/tex]. [tex]f=ma[/tex], so [tex]4106 = m(\frac{60}{6.3})[/tex], so [tex]m=431.13[/tex].
a race car traveling at 44m/s slows at a constant rate to a velocity of 22m/s over 11 seconds , how far does it move during this time
find distance and acceleration
PLEASEEEE HELP I HAVE A PHYSICS EXAM TOMORROW AND IM STRUGGLING
Answers
Answer:
add 44m/s and 22m/s then multiply it by 11
Explanation:
A race car traveling at 44m/s slows at a constant rate to a velocity of 22m/s over 11 seconds, Acceleration is -2 m/s² (deceleration), and distance is 242 meters.
To solve this problem, it is given:
Initial velocity ([tex]\(v_i\)[/tex] ) = 44 m/s
Final velocity ([tex]\(v_f[/tex] ) = 22 m/s
Time ([tex]\(t\)[/tex] ) = 11 s
We have two tasks: finding the acceleration (a) and then using it to calculate the distance (d).
1. Calculate Acceleration (a):
[tex]\[a = \frac{v_f - v_i}{t} \\\\= \frac{22 \, \text{m/s} - 44 \, \text{m/s}}{11 \, \text{s}} \\\\= -2 \, \text{m/s}^2\][/tex]
The negative sign indicates deceleration (slowing down).
2. Calculate Distance (d):
Using the kinematic equation:
[tex]\[d = v_i \cdot t + \frac{1}{2} \cdot a \cdot t^2\][/tex]
Plugging in the values:
[tex]\[d = (44 \, \text{m/s}) \cdot (11 \, \text{s}) + \frac{1}{2} \cdot (-2 \, \text{m/s}^2) \cdot (11 \, \text{s})^2\][/tex]
Calculating the first part:
[tex]\[d = 484 \, \text{m} - 121 \, \text{m} \\\\= 363 \, \text{m}\][/tex]
Calculating the second part:
[tex]\[d = 363 \, \text{m} + \frac{1}{2} \cdot (-2 \, \text{m/s}^2) \cdot (121 \, \text{s}^2) \\\\= 363 \, \text{m} - 121 \, \text{m} \\\\= 242 \, \text{m}\][/tex]
The total distance the race car moves during this time is 242 meters.
Thus, acceleration is -2 m/s² (deceleration), and distance is 242 meters.
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A 46.5-kg ball has a momentum of 57.2 kg m/s. What is the ball's speed?
Answers
Answer:
1.23 m/s
Explanation:
p=mv
57.2 = 46.5v
v= 57.2/46.5
v= 1.23
If you want to verify your answer, just insert the value of v in the equation.
Some houses are built with very thick walls. Explain how these walls help to keep the houses
warm in the winter.
Thicker walls provide more materal for .......
to travel through from the inside to outside, so the
is less, keeping the houses warmer.
(2 marks)
Answers
Answer: It banks night-time cool to bring temperatures down in the day, and warms up over the course of the day and then releases the warmth at night. Thick walls or exposed solid floors can provide thermal mass. The shape of buildings matters too, and the orientation around each other so that the wind moves in particular ways. Hope this helps, tell me if I need to add anything. :))
