Answer:
The angular displacement is \(\theta = 28.33 \ rad\)
Explanation:
From the question we are told that
The speed of the driver is \(v =13 \ m/ s\)
The acceleration of the driver is \(a = 1.02 \ m/s^2\)
The time taken is \(t = 0.70 \ s\)
The radius of the tire is \(r = 33 cm = 0.33 \ m\)
The distance covered by the car during this acceleration can be calculated using the equation of motion as follows
\(s = v*t +\frac{1}{2} * a * t^2\)
Now substituting values
\(s = 13 * 0.70 +\frac{1}{2} * 1.02 * (0.700)^2\)
\(s = 9.35 \ m\)
Now the angular displacement of the car with respect to the tire movement can be represented mathematically as
\(\theta = \frac{s}{r}\)
substituting values
\(\theta = \frac{9.35}{0.33}\)
\(\theta = 28.33 \ rad\)
A guy wire 1000 feet long is attached to the top of a tower. When pulled taut it makes a 42˚ angle with the ground. How tall is the tower? How far away from the base of the tower does the wire hit the ground?
Answer:
669.1 ft and 743.1 ft
Explanation:
Given data
Lenght of wire= = 1000ft
Angle = 42˚
Applying SOH CAH TOA
1. How tall is the tower?
SOH
sine ∅= opp/hyp
sin 42= opp/1000
0.6691= Opp/1000
0.6691*1000= Opp
Opp=669.1 ft
Applying SOH CAH TOA
2.How far away from the base of the tower does the wire hit the ground?
CAH
cos ∅= adj/hyp
cos 42= adj/1000
0.7431*1000=adj
adj=743.1 ft
Determine the MASS of the object in kg. (use g=10 m/s/s
Explanation:
Sorry but the question is incomplete
2. A 70.0-kg man and a 55.0-kg woman holding a 2.50-kg purse on ice skates stand facing eac other. (a) If the woman pushes the man backwards so that his final speed is 1.50 m/s, with what average force did she push him, assuming they were in contact for 0.500 s? (b) What i the woman's recoil speed? (c) If she now throws her 2.50-kg purse at him at a 20.0° angle ac
a) The average force with which the woman pushed the man is 210 N.
b. the woman's recoil speed is still 3.68 m/s
c. If she now throws her 2.50-kg purse at him at a 20.0° angle, the speed is 0.
How do we calculate?We first calculate the Momentum = (70.0 kg)(-1.50 m/s) + (55.0 kg)(v) + (2.50 kg)(-1.50 m/s)
0 = (70.0 kg)(0 m/s) + (55.0 kg)(v) + (2.50 kg)(-1.50 m/s) - (70.0 kg)(-1.50 m/s)
v = 3.68 m/s
Δp = (70.0 kg)(1.50 m/s) - (70.0 kg)(0 m/s) = 105 kg·m/s
The average force exerted on the man by the woman is:
Average force = Δp / Δt
Average force = 105 kg·m/s / 0.500 s
Average force = 210 N
b) The woman's recoil speed is :
0 = (70.0 kg)(-1.50 m/s) + (55.0 kg)(v) + (2.50 kg)(-1.50 m/s)
v = 3.68 m/s
c) If the woman throws her 2.50-kg purse at the man at a 20.0° angle, we apply the conservation of momentum equation in two dimensions and get the speed as 0.
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Type of law that applies to an action that took place before the law was passed
Answer:
Black's Law Dictionary defines a retroactive law as a law “that looks backward or contemplates the past, affecting acts or facts that existed before the act came into effect.” While Congress often considers legislation that would apply retroactively, the Constitution imposes some limited constraints on such laws.
When a space shuttle was launched, the astronauts onboard experienced an acceleration of 32.0 m/s2 . If one of the astronauts had a mass of 40.0 kg, what net force in newtons did the astronaut experience?
Answer:
F = 1280 N
Explanation:
Given that,
Acceleration experienced by a space shuttle, a = 32 m/s²
Mass of the astronauts, m = 40 kg
We need to find the force experienced by the astronaut.
We know that the net force is equal to the product of acceleration and its mass. So,
F = ma
F = 40 kg × 32 m/s²
So,
F = 1280 N
So, 1280 N of force is experienced by the Astronaut.
Calculate the displacement in meters of a motorcycle that has a speed of 100 kilometers per hour if it has circulated for 50 minutes
Hello..!
To calculate its displacement, we first apply the data to the problem.
Data:
V = 100km/hT = 50minD = ?Now, we apply a conversion.
Conversion:
100km/h • (1000m/1km) • (1h/3600s) V = 27.7m/s50min • (60s / 1min) T = 3000sThen, we apply the formula that is.
Formula:
D = V • TFinally we develop the problem.
Developing:
D = (27.7m/s) • (3000s)D = 83100mThe displacement of the bike is 83100 meters.
Answer:
83,333.33 m (2 d.p.)
Explanation:
\(\boxed{\sf Speed=\dfrac{Distance}{Time}}\)
Given values:
Speed = 100 k/hTime = 50 minutesAs there are 60 minutes in one hour, convert minutes into hours by dividing by 60:
\(\implies \sf Time=\dfrac{50}{60}=\dfrac{5}{6}\;hour\)
Substitute the values into the formula and solve for distance:
\(\implies \sf 100=\dfrac{Distance}{\frac{5}{6}}\)
\(\implies \sf 100=Distance \times \dfrac{6}{5}\)
\(\implies \sf Distance=\dfrac{100 \times 5}{6}\)
\(\implies \sf Distance=\dfrac{250}{3}\;km\)
\(\implies \sf Distance=83.33333...\;km\)
At there are 1000 meters in one kilometer, convert kilometers into meters by multiplying by 1000:
\(\implies \sf Distance=83.33333...\times 1000=83333.33\;m\;(2\;d.p.)\)
A bucket is being lowered by a very light rope with a constant downward velocity. The tension in the rope must be
Answer:
The tension in the light rope must be equal to the weight of the bucket
Explanation:
Given that,
Constant velocity of bucket and direction of bucket in downward
We need to find the tension in the rope
Using given data,
When a bucket moves downward with a constant velocity then the net force does not applied on the bucket.
So, The weight of the bucket will be equal to the tension in the light rope
In mathematically,
\(T=mg\)
Where, T = tension
m = mass of bucket
g = acceleration due to gravity
Hence, The tension in the light rope must be equal to the weight of the bucket.
Calculate the binding energy for IRON-56.
Answer:
With 8.8 MeV binding energy per nucleon, iron-56 is one of the most tightly bound nuclei.
Pls mark brainliest
What kind of exercise should you do when you're cooling down after an
intense workout?
Answer:
Planks?
Explanation:
It's kinda resting
Answer:
weights
walking
stretching
etc.
Why is DNA a useful evolutionary clock?
a question was asked by a teacher to a student. She gave the student a jumbled word and told him to make words out of it. The jumbled word is gzeysktqix. Now you know what to do. see ya!
When the teacher asked the student to make words out of the jumbled word gzeysktqix, the student was being tested on his ability to unscramble words. Unscrambling words is the process of taking a word or series of letters that are out of order and rearranging them to form a word that makes sense.
When trying to unscramble a word, it is important to look for any patterns that can help identify smaller words within the jumbled letters. This can help make the process easier and quicker. For example, in the jumbled word gzeysktqix, one might notice that the letters "sktqix" appear together.
This could indicate that these letters could potentially form a word. By looking at the remaining letters, one could notice that the letters "g", "z", "e", and "y" could also form smaller words. After some rearranging, the letters can be unscrambled to form the words "sky", "zig", "sex", and "yet". These are just a few examples, as there are likely many other words that can be formed from this jumbled word.
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There are caps that accompany the boomwhacker tubes, which change the sound of the note we are hearing. Explain how this works (the underlying physics), using a visual with a written description accompanying it.
The caps used with boomwhacker tubes alter the sound of the notes by changing the effective length of the air column inside the tube.
This modification affects the fundamental frequency produced when the tube is struck or tapped against a surface.The fundamental frequency determines the pitch of the sound we hear.
When a boomwhacker tube is struck without any cap, the air column inside vibrates at its natural frequency, producing a specific pitch. By adding caps to the tube, we effectively shorten its length, which increases the frequency of the vibrations and raises the pitch. Conversely, removing caps increases the effective length, lowering the frequency and lowering the pitch.
To visualize this, imagine a tube with a cap on one end. The cap acts as a barrier, preventing the air column from vibrating in that direction. Therefore, the effective length of the tube becomes the distance between the cap and the open end. This shorter length results in a higher pitch. Removing the cap increases the effective length, resulting in a lower pitch.By using different combinations of caps on the boomwhacker tubes, we can produce a range of pitches, creating a musical and colorful experience.
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A ball is projected at an angle of 53°. If the initial velocity is 48 meters/second, what is the vertical component of the velocity with which it was launched?
A.) 31 meters/second
B.) 38 meters/second
C.) 44 meters/second
D.) 55 meters/second
Answer:
The vertical component of the velocity can be found using the formula:
V₀y = V₀ * sin(θ)
where V₀ is the initial velocity, θ is the angle of projection, and V₀y is the vertical component of the velocity.
Substituting the given values, we have:
V₀y = 48 * sin(53°)
Using a calculator, we can evaluate sin(53°) to be approximately 0.799:
V₀y = 48 * 0.799
V₀y ≈ 38.352
Therefore, the vertical component of the velocity with which the ball was launched is approximately 38 meters/second, which corresponds to option B.
Answer:
B.) 38 meters/second
Explanation:
A computer monitor accelerates electrons between two plates and sends them at high speed to form an image on the screen. If the elec- trons gain 4.1 * 10-15 J of kinetic energy as they go from one accelerat- ing plate to the other, what is the voltage between the plates?
The voltage between the plates is 3.9 × \(10^-^3\) V.
The work-energy theorem states that the delta in the equation equals the change in kinetic energy plus the change in potential energy. Here, a charge's potential energy is expressed as qV, where V is the position's electric potential. The greater the change in voltage per unit distance, the greater the electric field.
The kinetic energy of the electrons = 4.1 × \(10^-^1^5\) J
Charge of the electron = 1.602 × \(10^-^1^9\) coulomb
Using,
ΔU = q × ΔV
4.1 × \(10^-^1^5\) = 1.602 × \(10^-^1^9\) × ΔV
ΔV = 3.9 × \(10^-^3\) V
Therefore, the voltage between the plates is 3.9 × \(10^-^3\) V.
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what element is produced when a gold nucleus loses a proton?
can result.
When lost fluid is not replaced adequately,
A. heat stroke
B. hypothermia
C. dehydration
D. emphysema
Answer:
Dehydration could possibly take place if lost fluid is not replaced adequately. Hypothermia can not possibly take place due to loss of fluid. Nor can emphysema. So, dehydration looks to be the more suitable answer
Describe the effect on acceleration when applying the same force to a baseball and a filing cabinet
Newton's second law allows to find the result for the acceleration of the file and the ball is:
The acceleration of the ball is greater because it has less mass than the filing cabinet.
Newton's second law says that the force is proportional to the product of the acceleration for the mass of a body.
F = ma
Where F is the force, the acceleration and m the mass of the body.
\(a = \frac{F}{m}\)
In this case we have a baseball with a mass m and a filing cabinet with a mass M.
M> m
Therefore, using Newton's second law, the acceleration of the cabinet must be less than the acceleration of the ball since the mass of the cabinet is greater than mass ball.
In conclusion using Newton's second law we can find the result for the acceleration of the filing cabinet and the ball is:
The acceleration of the ball is greater because it has less mass than the filing cabinet.
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9. When air or water is cools it...
A.) Sinks
B.) Becomes less dense
Answer:
when air or water cools it sinks
A carousel is (more or less) a disk of mass, 15,000 kg, with a radius of 6.14. What torque must be applied to create an angular acceleration of 0.0500 rad/s^2?round to 3 significant figures
(Plssss help me im suffering from severe brainrot)
To calculate the torque required to create an angular acceleration, we can use the formula:
Torque = Moment of Inertia × Angular Acceleration
The moment of inertia of a disk can be calculated using the formula:
Moment of Inertia = (1/2) × Mass × Radius^2
Given:
Mass = 15,000 kg
Radius = 6.14 m
Angular Acceleration = 0.0500 rad/s^2
First, calculate the moment of inertia:
Moment of Inertia = (1/2) × Mass × Radius^2
Moment of Inertia = (1/2) × 15,000 kg × (6.14 m)^2
Next, calculate the torque:
Torque = Moment of Inertia × Angular Acceleration
Torque = Moment of Inertia × 0.0500 rad/s^2
Now, let's plug in the values and calculate:
Moment of Inertia = (1/2) × 15,000 kg × (6.14 m)^2
Moment of Inertia ≈ 283,594.13 kg·m^2
Torque = 283,594.13 kg·m^2 × 0.0500 rad/s^2
Torque ≈ 14,179.71 N·m
Rounding to three significant figures, the torque required to create an angular acceleration of 0.0500 rad/s^2 is approximately 14,180 N·m.
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Unbeknownst to most students, every time the school floors are waxed, the physics teachers get together to have a barrel of phun doing friction experiments in their socks (uhm - they do have clothes on; its just that they don't have any shoes on their feet). On one occasion, Mr. London applies a horizontal force to accelerate Mr. Schneider (mass of 84 kg) rightward at a rate of 1.2 m/s/s. If the coefficient of friction between Mr. Schneider 's socks and the freshly waxed floors is 0.35, then with what force (in Newtons) must Mr. London be pulling?
The frictional force is taken away from the net force. Mr. London will pull with a force of 388.9 N
What is Force ?Force can simply be defined as a pull or push. It is a product of mass and acceleration. It is a vector quantity.
Given that Mr. London applies a horizontal force to accelerate Mr. Schneider (mass of 84 kg) rightward at a rate of 1.2 m/s/s. If the coefficient of friction between Mr. Schneider 's socks and the freshly waxed floors is 0.35, then the force F in which Mr. London is pulling will be;
F - Fr = ma
Where
F = ?m = 84 kga = 1.2 m/s²N = ?μ = 0.35N = mg
N = 84 × 9.8
N = 823.2 N
Fr = μN
Fr = 0.35 × 823.2
Fr = 288.12 N
F - 288.12 = 84 × 1.2
F - 288.12 = 100.8
F = 100.8 + 288.12
F = 388.92 N
Therefore, Mr. London must be pulling with a force of 388.9 N
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A motorcycle stoop is at a traffic light, when the light turns green, the motorcycle accelerates to a speed of 78 km/h over a distance of 50 m. What is the average acceleration of the motorcycle over this distance?
The average acceleration of the motorcycle over the given distance is approximately 9.39 m/s².
To calculate the average acceleration of the motorcycle, we can use the formula:
Average acceleration = (final velocity - initial velocity) / time
First, let's convert the final velocity from km/h to m/s since the distance is given in meters. We know that 1 km/h is equal to 0.2778 m/s.
Converting the final velocity:
Final velocity = 78 km/h * 0.2778 m/s = 21.67 m/s
Since the motorcycle starts from rest (initial velocity is zero), the formula becomes:
Average acceleration = (21.67 m/s - 0 m/s) / time
To find the time taken to reach this velocity, we need to use the formula for average speed:
Average speed = total distance/time
Rearranging the formula:
time = total distance / average speed
Plugging in the values:
time = 50 m / 21.67 m/s ≈ 2.31 seconds
Now we can calculate the average acceleration:
Average acceleration = (21.67 m/s - 0 m/s) / 2.31 s ≈ 9.39 m/s²
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Need help solving this problem
a) The tension in the rope is 123.9 N.
b) The moment of inertia of the wheel is 0.09 kg m².
c) The angular speed of the wheel 3.50 s after it begins rotating, starting from rest, is 58.5 rad/s.
(a) To determine the tension in the rope, we need to analyze the forces acting on the object. There are two forces: the force of gravity pulling the object down the incline and the tension force pulling the object up the incline.
The force of gravity can be broken down into two components: one parallel to the incline and one perpendicular to the incline.
The parallel component causes the object to accelerate down the incline, while the perpendicular component is balanced by the normal force of the incline.
The tension force is responsible for the object's acceleration down the incline, so we can set up the following equation:
T - mg sin(theta) = ma
where T is the tension force, m is the mass of the object, g is the acceleration due to gravity, theta is the angle of the incline, and a is the acceleration of the object down the incline.
Putting in the given values, we get:
T - (12.5 kg)(9.81 m/s²)(sin(37°)) = (12.5 kg)(2.00 m/s²)
Solving for T, we get:
T = 123.9 N
Therefore, the tension in the rope is 123.9 N.
(b) To determine the moment of inertia of the wheel, we can use the following equation:
I = (1/2)MR²
where I is the moment of inertia, M is the mass of the wheel, and R is the radius of the wheel.
Putting in the given values, we get:
I = (1/2)(12.5 kg)(0.12 m)²
= 0.09 kg m²
Therefore, the moment of inertia of the wheel is 0.09 kg m².
(c) To determine the angular speed of the wheel after 3.50 s, we can use the following equation:
ω = ω₀ + αt
where ω is the final angular speed, ω₀ is the initial angular speed (which is zero in this case), α is the angular acceleration, and t is the time.
We can find the angular acceleration using the following equation:
α = a/R
where a is the acceleration of the object down the incline (which we already know) and R is the radius of the wheel.
Putting in the given values, we get:
α = 2.00 m/s² / 0.12 m
= 16.7 rad/s²
Putting in the values for α and t, we get:
ω = 0 + (16.7 rad/s²)(3.50 s)
= 58.5 rad/s
Therefore, the angular speed of the wheel 3.50 s after it begins rotating, starting from rest, is 58.5 rad/s.
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A body moving in the positive x direction passes the origin at time t=0 . Between t=0 and t=1 second , the body has a constant speed of 24 metres per second . At t=1 second , the body is given a constant acceleration of 6 metres per second squared in the negative x direction . The position at t=11 seconds is?
Answer:
The position at t=11 seconds is -96 m or 96 m to the left of the origin
Explanation:
Constant speed and constant acceleration motion
If a body travels the same distance per unit of time, the body has a constant speed. The equation for the distance x is:
\(x=v.t\)
Where v is the constant speed and t is the time.
At time t=0 the body is moving at a constant speed of v=24 m/s in the positive x-direction. It keeps that condition for t=1 sec. The distance traveled is:
\(x=24m/s\cdot 1\ s=24\ m\)
Now the body is given a constant acceleration of 6 m/s^2 in the negative x-direction, that is, a=-6 m/s^2
The distance traveled by a body at constant acceleration is given by:
\(\displaystyle x=v_o.t+\frac{a.t^2}{2}\)
Where vo is the initial speed and t is the time.
We need to find the position at t=11 sec, but we must subtract the one second already passed, thus t=10 s
\(\displaystyle x=24m/s\cdot 10s+\frac{-6m/s^2.(10)^2}{2}\)
\(\displaystyle x=240\ m-360\ m=-120\ m\)
This distance must be added to the actual position of the body, that is:
-120 m + 24 m = -96 m
The position at t=11 seconds is -96 m or 96 m to the left of the origin
х
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Pre-video question: What type of cell division produces sperm and
ova?
Answer:
HI THERE
Explanation:
MEIOSIS produces sperm and ova
thank you
I am also reading this chapter
it will come in my exams
About the four terrestrial planets (Earth, Mars, Mercury, and Venus), which of the following statements is NOT correct?A. The orbital periods of the four planets in order from shortest to longest are: Mercury, Venus, Earth, and MarsB. The distances from the Sun for the four planets in order from closet to farthest are: Mercury, Venus, Earth, and MarsC. The four planets all have mantle, core, and stable atmospheric layersD. The four planets in order from smallest to biggest are: Mercury, Mars, Venus, and Earth
All four planets contain stable atmospheric layers, a mantle, and a core. One of the following is FALSE regarding the four terrestrial planets (Earth, Mars, Mercury, and Venus).
Which of the following traits do the four terrestrial planets share?Terrestrial planets include Mercury, Venus, Earth, and Mars because of their compact, stony surfaces that resemble terra firma on Earth. The four innermost planets in the solar system are the four terrestrial planets.
What are the four features of planets that are terrestrial?The four innermost planets are known to as terrestrial planets and feature a moon or moons, valleys, volcanoes, and craters. They also have a liquid heavy-metal core.
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I want the answer and that’s all
Answer:
Cuboid?
Explanation:
Evaluate (2-3)^(4) - 9 - 3.
-7
VX
-2.
1
2
Answer:
−10.1−3.−7VX,2
Explanation:
Answer:
Evaluate (2 - 3)4(4) - 9 ÷ 3.
-7
-2
1
2
Explanation:
answer is 1
Find the average speed from t = 0 - 12 seconds.0.917 m/s1.25 m/s1.33 m/s0.583 m/s
Given data:
* The initial value of the time is 0 s.
* The final value of the time is 12 s.
Solution:
The average speed from the graph is,
\(s=\frac{\text{Total distance}}{\text{ Total time taken}}\)Substituting the known values,
\(\begin{gathered} s=\frac{7}{12} \\ s=0.583\text{ m/s} \end{gathered}\)Thus, the average speed from 0 to 12 seconds is 0.583 m/s.
Hence, fourth option is the correct answer.
please help me out with this
The current flowing through the 1Ω resistor in the circuit is 0.66 A.
The emf of the cells, V = 1.1 V
Internal resistance of the cells, r = Ω
Resistance across the circuit, R = 1 Ω
According to Kirchhoff's current law, the total current flowing into and out of a junction in an electrical circuit is equal.
According to Kirchoff's current law,
(1.1 - V'/2) + (1.1 - V'/2) + (1.1 - V'/2) = V'/1
3/2(1.1 - V') = V'
3.3 - 3V' = 2V'
5V' = 3.3
Therefore, the terminal velocity of the battery is,
V' = 3.3/5
V' = 0.66 V
Therefore, according to Ohm's law, the current flowing through the 1Ω resistor is given by,
I = V'/R
I = 0.66/1
I = 0.66 A
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A person is hauling their taco stand and it takes 3,500 Joules of work to stop the taco stand. What force was exerted on the taco stand if it took 1.5 meters to stop the motion?
Given the work done, the force exerted on the taco stand through the given distance is 2.3 × 10³ Newtons.
What is Work done?Work done is simply defined as the energy transfer that takes place when an object is either pushed or pulled over a certain distance by an external force. It is expressed as;
W = f × d
Where f is force applied and d is distance travelled.
Given that;
Work done W = 3500J = 3500kgm²/s²Distance covered d = 1.5mForce applied F = ?W = f × d
3500kgm²/s² = f × 1.5m
f = 3500kgm²/s² ÷ 1.5m
f = 2.3 × 10³ kgm/s²
f = 2.3 × 10³ N
Given the work done, the force exerted on the taco stand through the given distance is 2.3 × 10³ Newtons.
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