Answers
Answer:
Approximately \(-1.58\; \rm rad \cdot s^{-2}\).
Explanation:
This question suggests that the rotation of this object slows down "uniformly". Therefore, the angular acceleration of this object should be constant and smaller than zero.
This question does not provide any information about the time required for the rotation of this object to come to a stop. In linear motions with a constant acceleration, there's an SUVAT equation that does not involve time:
\(v^2 - u^2 = 2\, a\, x\),
where
\(v\) is the final velocity of the moving object, \(u\) is the initial velocity of the moving object,\(a\) is the (linear) acceleration of the moving object, and\(x\) is the (linear) displacement of the object while its velocity changed from \(u\) to \(v\).The angular analogue of that equation will be:
\((\omega(\text{final}))^2 - (\omega(\text{initial}))^2 = 2\, \alpha\, \theta\), where
\(\omega(\text{final})\) and \(\omega(\text{initial})\) are the initial and final angular velocity of the rotating object,\(\alpha\) is the angular acceleration of the moving object, and\(\theta\) is the angular displacement of the object while its angular velocity changed from \(\omega(\text{initial})\) to \(\omega(\text{final})\).For this object:
\(\omega(\text{final}) = 0\; \rm rad\cdot s^{-1}\), whereas\(\omega(\text{initial}) = 39.1\; \rm rad\cdot s^{-1}\).The question is asking for an angular acceleration with the unit \(\rm rad \cdot s^{-1}\). However, the angular displacement from the question is described with the number of revolutions. Convert that to radians:
\(\begin{aligned}\theta &= 76.8\; \rm \text{revolution} \\ &= 76.8\;\text{revolution} \times 2\pi\; \rm rad \cdot \text{revolution}^{-1} \\ &= 153.6\pi\; \rm rad\end{aligned}\).
Rearrange the equation \((\omega(\text{final}))^2 - (\omega(\text{initial}))^2 = 2\, \alpha\, \theta\) and solve for \(\alpha\):
\(\begin{aligned}\alpha &= \frac{(\omega(\text{final}))^2 - (\omega(\text{initial}))^2}{2\, \theta} \\ &= \frac{-\left(39.1\; \rm rad \cdot s^{-1}\right)^2}{2\times 153.6\pi\; \rm rad} \approx -1.58\; \rm rad \cdot s^{-1}\end{aligned}\).
Related Questions
Clear
34. As surface area on an object decreases pressure:
increase
decrease
Clear
Answers
Answer:
Increase
Explanation:
As the surface area of an object increases, the pressure reduces and vice versa.
Pressure is the force applied per unit area on a body;
Pressure = \(\frac{Force}{Surface area}\)
Pressure is inversely related to surface area.
A small surface area will ensure pressure to be maximized.
what is the magnitude of its velocity just before it strikes the ground, if the bottle was thrown straight out horizontally from the tower with a speed of 11.8 m/s?
Answers
There's not enough given information to find the answer.
The horizontal velocity has no effect on anything that happens vertically. To find the object's vertical speed when it hits the ground, we need to know what height it was dropped from, and that's not given in the question.
Since the bottle is falling vertically, the vertical displacement s is the height of the tower from which it was thrown.
If a bottle is thrown horizontally from a tower, its initial vertical velocity is 0 m/s since there is no vertical component to its initial velocity. The only force acting on the bottle in the vertical direction is gravity, which causes it to accelerate downward at a rate of approximately 9.81 m/s² (assuming Earth's gravity).
Since the initial vertical velocity is 0 m/s and the acceleration is 9.81 m/s², you can use the following kinematic equation to find the magnitude of its velocity just before it strikes the ground:
v2=u2+2as
Where:
v is the final vertical velocity (which we're trying to find)
u is the initial vertical velocity (0 m/s)
a is the acceleration due to gravity (-9.81 m/s², negative because it's acting downward)
s is the vertical displacement (which is the height of the tower)
Since the bottle is falling vertically, the vertical displacement
s is the height of the tower from which it was thrown.
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Help !! I hate science
Answers
Answer:
iron nail rusting
Explanation:
A resistor, capacitor, and switch are all connected in series to an ideal battery of constant terminal voltage. Initially, the switch is open and the capacitor is uncharged. What is the voltage across the resistor and the capacitor at the moment the switch is closed
Answers
Answer:
The voltage across the resistor is zero, and the voltage across the capacitor is equal to the terminal voltage of the battery.
Explanation:
This is because when a capacitor is charged no current or voltage flows through it so it will have a voltage equal to the terminal voltage of the battery
Gas in a container is at a pressure of 1.6 x 10^5 pa and a volume of 4.0 m^3 What is the work done on the gas if it is compressed to 1/4 of its initial volume?
Answers
The amount of effort put forward if the gas is compressed to only 1/4 of its original volume W = P x AV equals (1,6 x 10 5 Pa) (4 m3). 5. W = 6,4 x 10 J.
Are people hazardous to gas?Generally speaking, minimal contact with gasoline is safe. A person's health can be significantly harmed by prolonged exposure to gasoline and its vapors since they are poisonous. Humans have created gasoline, which is largely used to power cars and other engine-powered machinery.
Who has the best gas prices nearby?Chevron has the greatest overall customer satisfaction ratings among the biggest national chains in America. Over 7,800 stores are within its reach, and while some petrol stations include quick food marts, one in North Hollywood goes above and beyond.
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A mass of 10kg suspended on a steel rod of length 2m and radius 1mm what is the elongation of the rod beyond it's original length (Take E = 200*10^9 Newton per metre square
Answers
The elongation of the rod beyond its original length would be 2.5 mm.
Elongation calculationTo elongation of the rod can be deduced using the formula:
ΔL = FL / AE
where:
ΔL is the elongationF is the force appliedL is the original length of the rodA is the cross-sectional area of the rodE is Young's modulus of elasticity of the material.The cross-sectional area of the steel rod is given by:
A = π\(r^2\)A = π\((0.001 m)^2\) = 7.85 x \(10^{-7} m^2\)The force applied to the rod:
F = mgF = 10 x 9.81 = 98.1 NThus:
ΔL = (98.1 x 2) / ((7.85 x \(10^{-7\)) x (200 x \(10^9\) ))
ΔL = 0.0025 m = 2.5 mm
In other words, the elongation of the steel rod beyond its original length is 2.5 mm.
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(A star if you answer this question) A school bus is traveling at 11.1 m/s and has a
momentum of 152,625 kgm/s. What is the mass of the bus?
Answers
\(\mathfrak{\huge{\pink{\underline{\underline{AnSwEr:-}}}}}\)
Actually Welcome to the Concept of the Kinematics in real world.
So, as given here, we have to find the Mass of the bus from the given momentum, so we get as,
P = m * V
momentum = mass * velocity
here, P= 152625 kgm/s and v= 11.1 m/s
so substituting we get as,
m = 152625 ÷ 11.1 => 13,750 kg
hence,the mass of the bus is 13,750 kg.
What is the target heart rate for a 24 year old?
Answers
Answer:
196
Explanation:
subtract 24 from 220 to get your answer.
Answer:
100 beats for minute
Explanation:
Adults ( age 18 and over) 60 - 100 beats per minute
Hello question for JungKookLuver and jguzman577. What’s my favorite color don’t answer! Or you get reported!
Answers
Answer: Green!
Explanation: ThankYou bro
how many males are color blind one in 50 1 and 10 one hundred one and 12
Answers
One in twelve males have color blindness whereas One in two-hundred females have color blindness. Thus, Option D is correct.
Color blindness is the ability to distinguish different colors. It is hard to differentiate the colors between the same color family. A person with color blindness can not able to see red and green, and can able to see grey, black, and white. It is often inherited.
A person with color blindness can not able to differentiate the colors between red and green. There are three types of color blindness they are Deuteranomaly (difficulty with red-green color blindness and it makes green look redder), Protanomaly(red look greener), Protanopia, and deuteranopia (difficulty in identifying red and green). It is cured by using proper contact lenses.
Thus, One in twelve males has color blindness. Hence, the ideal solution is option D.
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A spherical ball of lead (density 11.3 g/cm 3) is placed in a tub of mercury (density 13.6 g/cm 3). Which answer best describes the result
Answers
The lead ball will float with about 17% of its volume above the surface of the mercury.
We know that density is defined as mass per unit volume of a substance. The density of a substance is an intrinsic property which can be used to identify a substance.
Given that Lead is less dense that mercury, we know that lead will float on mercury. Since the density of mercury is 13.6 g/cm3 and that of lead is 11.3 g/cm3, lead ball will float with about 17% of its volume above the surface of the mercury.
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Missing parts;
A spherical ball of lead (density 11.3 g/cm3) is placed in a tub of mercury (density 13.6 g/cm3). Which answer best describes the result?
A.The lead ball will float with about 83% of its volume above the surface of the mercury.
B.The lead ball will float with about 17% of its volume above the surface of the mercury.
C.The lead ball will float with its top exactly even with the surface of the mercury.
D.The lead will sink to the bottom of the mercury.
E.none of the above
1,000 J of energy are needed to melt 10 g of a solid substance that is already at its melting point. What is the heat of fusion of the substance?
Answers
1,000 J of energy are needed to melt 10 g of a solid substance that is already at its melting point , the heat of fusion of the substance is 548 joules .
What is heat of fusion ?Heat of fusion, also known as enthalpy of fusion or latent heat of fusion, is the amount of energy required to melt or freeze a substance under constant pressure conditions. When it comes to chemistry, "fusion" is basically synonymous with "melting." In the classroom, heat of fusion is typically used when a substance is at its melting or freezing point. In such instances, most people consider heat of fusion to be a constant.
Water, for example, has a heat of fusion of 334 J/g at its melting point of 0°C. At 0°C, one grams of liquid water requires 334 Joules of energy to completely freeze into ice. In addition, one grams of ice requires 334 Joules of energy to melt entirely.
q = m×∆Hf
q: Total change in heat energy (in Joules)
∆Hf: Heat of fusion of substance (in Joules per gram)
m: Mass of substance (in grams)
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Do you think the "energy" used by people and the energy used by cars is the same thing? Why or why not? *
Answers
Answer:No
Explanation:Because car use the energy produced by the car battery and humans get energy from the food they eat
A 12.00 kg toy falls from a height of 5.00 m. What will the kinetic energy of the toy be just before the toy hits the ground?
Answers
Answer:
The kinetic energy of the toy just before the toy hits the ground will be 588 J.
Hope you could get an idea from here.
Doubt clarification - use comment section.
calculate the electric potential energy in a capacitor that stores 9.40 x 10 to the negative 10 C of charge at 50.0 V
Answers
The electric potential energy stored in the capacitor is 4.70 x 10^-8 Joules.
The electric potential energy stored in a capacitor is given by the formula:
U = (1/2) * C * V^2
where U is the potential energy in Joules, C is the capacitance in Farads, and V is the voltage across the capacitor in Volts.
In this case, we are given that the capacitor stores 9.40 x 10^-10 C of charge at 50.0 V. However, we are not given the capacitance value. Therefore, we cannot calculate the potential energy directly using the above formula.
To find the capacitance value, we can use the formula:
C = Q / V
where Q is the charge stored in the capacitor and V is the voltage across the capacitor.
Substituting the given values, we get:
C = 9.40 x 10^-10 / 50.0
= 1.88 x 10^-11 F
Now we can use the formula for electric potential energy to find the energy stored in the capacitor:
U = (1/2) * 1.88 x 10^-11 * (50.0)^2
= 4.70 x 10^-8 J
Therefore, the electric potential energy stored in the capacitor is 4.70 x 10^-8 Joules.
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What does density show? Explain.
Answers
Answer:
What is Density? The density of material shows the denseness of that material in a specific given area. A material's density is defined as its mass per unit volume. Density is essentially a measurement of how tightly matter is packed together.
Explanation:
Answer:
The density of material shows the denseness of that material in a specific given area. A material's density is defined as its mass per unit volume. Density is essentially a measurement of how tightly matter is packed together.
Should we use less energy because it is
harming the planet?
Answers
Answer:
Yes - si.
Explanation:
Answer:
yes we should use less energy
Help pls for some reason here’s my problem when I look at my iPad to much and I look at something far away it’s kinda blurry but when I rest my eyes by not looking at the screen it’s kinda gets better this has been happening for a month
Answers
Answer: Hello! I believe you might have a condition known as Digital Eye Strain (DES). This is cause by too much screen time, poor posture, bad lighting and viewing distance.
Before you panic, this is not permanent. Here’s some ways to help prevent it :
• Put the screen 20-28 inches away, 4-5 in below eye level and adjust your brightness. (Make sure your screen isn’t too bright)
•Rest your eyes for 15 minutes every 2 hours.
•Try the 20-20-20 rule: look at an object 20 ft away for 20 seconds every 20 minutes.
Please rest your eyes more. If it doesn’t go away after a bit. Please book a appointment with your eye doctor to make sure everything’s alright :)
let me know if you have any questions! :)
Select the correct answer.
A boat moves 60 kilometers east from point A to point B. There, it reverses direction and travels another 45 kilometers toward point A. What are the total
distance and total displacement of the boat?
O A.
OB.
O C.
O D.
The total distance is 105 kilometers and the total displacement is 45 kilometers east.
The total distance is 60 kilometers and the total displacement is 60 kilometers east.
The total distance is 105 kilometers and the total displacement is 15 kilometers east.
The total distance is 60 kilometers and the total displacement is 45 kilometers east.
Answers
The total distance is 105 kilometers and the total displacement is 15 kilometers east. Option C
How to solve for the total distanceTo calculate the total distance, we add the distances traveled in each leg of the journey: 60 kilometers (from A to B) + 45 kilometers (from B back to A) = 105 kilometers.
However, displacement refers to the change in position of an object in a straight line from its starting point to its ending point. In this case, since the boat starts and ends at the same point (A), the total displacement is zero.
Hence The total distance is 105 kilometers and the total displacement is 15 kilometers east.
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the fastest tennis service by a man is 246,2 km.hr-1 by Andy Roddick of the United States of America during a match in London in 2004. Calculate the ball's momentum if it has a mass of 58 g?
Answers
Answer:
Approximately \(3.967\; {\rm kg\cdot m\cdot s^{-1}}\).
Explanation:
Convert velocity to the standard units (meters per second):
\(\begin{aligned}v &= 246.2 \; {\rm km \cdot h^{-1}} \\ &= 246.2 \; {\rm km \cdot h^{-1}}\times \frac{1\; {\rm h}}{3600\; {\rm s}} \times \frac{1000\; {\rm m}}{1\; {\rm km}} \\ &\approx 68.389\; {\rm m\cdot s^{-1}}\end{aligned}\).
Convert mass to standard units (kilograms):
\(\begin{aligned} m &= 58\; {\rm g} \\ &= 58\; {\rm g} \times\frac{1\; {\rm kg}}{1000\; {\rm g}}\\ &= 0.058\; {\rm kg}\end{aligned}\).
When an object of mass \(m\) travels at a velocity of \(v\), momentum of that object would be \(p = m\, v\). In standard units, the momentum of this tennis ball would be:
\(\begin{aligned}p &= m\, v \\ &\approx (0.058\; {\rm kg})\, (68.389\; {\rm m\cdot s^{-1}}) \\ &\approx 3.967\; {\rm kg \cdot m\cdot s^{-1}}\end{aligned}\).
If the 50 kg object slows down to a velocity of 1 m/s, how much kinetic energy does it have?
Answers
Answer:
KE = 25
Explanation:
KE = 1/2 m v^2
KE = 1/2 (50) (1)
KE = 25
Why do some organisms make one type of protein for a feature while other organisms make two? Use the above words in your response.
Answers
Answer:
Genes provide instructions for making proteins but they do not build the proteins themselves. Why do some organisms make one type of protein for a feature and others make two? An organism has two copies of a gene for each feature; these can be the same version or different.
Explanation:
Chadwick now needs to push the piano up a ramp and into a moving van. (Figure 2) The ramp is frictionless. Is Chadwick strong enough to push the piano up the ramp alone or must he get help? To solve this problem you should start by drawing a free-body diagram.
Determine the object of interest for this situation.
Answers
The object of interest for this situation is the piano. The forces acting on the piano are: (1) gravitational force acting on the piano (piano's weight). (2) force of the floor on the piano (normal force). (3) force of Chadwick on the piano
In this situation, the object of interest is the piano. The forces acting on the piano are the gravitational force (weight) pulling the piano down, the normal force of the floor pushing up on the piano, and the force of Chadwick pushing on the piano to move it up the ramp. Since the ramp is frictionless, the only force acting to stop the piano from sliding back down the ramp is the normal force of the floor, which is perpendicular to the ramp surface. Therefore, Chadwick must push the piano with a force greater than its weight to overcome gravity and move it up the ramp.
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Complete question:
Chadwick now needs to push the piano up a ramp and into a moving van. The ramp is frictionless. Is Chadwick strong enough to push the piano up the ramp alone or must he get help? To solve this problem you should start by drawing a free-body diagram.
Determine the object of interest for this situation.
Identify the forces acting on the object of interest. From the list below, select the forces that act on the piano.
(1) gravitational force acting on the piano (piano's weight)
(2) force of the floor on the piano (normal force)
(3) force of Chadwick on the piano
how can voltage be produced by magnetism and motion?
Answers
Answer:
Electromagnetic Induction by a Moving Magnet
Then the action of moving a coil or loop of wire through a magnetic field induces a voltage in the coil with the magnitude of this induced voltage being proportional to the speed or velocity of the movement.
Explanation:
Explain the theory of plate tectonics and how they have changed Earth’s surface over time. Include the role of plate tectonics in the creation of landforms.
Answers
Plate tectonic theory is the movement of the plates or slabs of rigid rocks over the surface of the earth or the molten rocks that is the mantel.
It explains how the continents have drifted over time due to the changes in the earth's geology over the years. It also explains how earthquakes, volcanic eruptions, and mountain ranges are created. Hence the arrangement and formation of the present shape of the earth continents.Learn more about plate tectonics and how they have changed Earth.
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Capillaries are the largest of all blood vessels.
O True
O False
Answers
Answer:
FALSE
Explanation:
FILL IN THE BLANK the normal partial pressure differences between inspired air and alveolar gas for o2, and co2 can be explained because________ .
Answers
"The normal partial pressure differences between inspired air and alveolar gas for O₂, and CO₂ can be explained because of net movements of CO₂ towards the alveoli, O₂ towards the alveoli, and H₂ O is added along the respiratory tract."
Air contains many gases such as O₂ and CO₂. During inspiration, the air is humified as it is inhaled. As the air moves along the respiratory tract, H₂O is added to the tract. The inspired air is containing a high level of O₂ moves towards alveoli. It moves from a region of higher partial pressure of O₂ to a lower region. It then goes to the blood in the capillaries after it gets to the alveoli. The blood that contains high CO₂ expels the CO₂, and the gas moves towards the alveoli, from where it is expelled through expiration.
Therefore, the correct answer is (c) net movements of CO₂ towards the alveoli, O₂ towards the alveoli, and H₂O is added along the respiratory tract.
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ANSWER QUICKLY PLEASE <3
Ampère placed two 1.50-m wires parallel to each other so that they were 4.80 cm apart.
He delivered a current of 6.50 A to the wires. Both wires experienced an external
magnetic field of 2.71 X 10^−5 T. Determine the force on one of the wires.
Answers
The forces on one of the wires will be 0.000264 N.It is the field sensed around a moving electric charge that gives rise to the magnetic force.
What is a magnetic field?It is the type of field where the magnetic force is obtained. With the help of a magnetic field. The magnetic force is obtained it is the field felt around a moving electric charge.
The given data in the problem is;
I is the current = 6.50 A
B is the magnetic field=f 2.71 X 10⁻⁵ T
The force on the wire is;
\(\rm F= BIL \\\\\ F=2.71 \times 10^{-5} \ T \times 6.50 \ A \times 1.50 \ m \\\\\ F=0.000264225 \ N\)
Hence, the force on one of the wires will be 0.000264 N.
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Please help! ASAP. I'm going to have a panic attack.
Answers
Answer:
dont die bro
Explanation:
A substance takes three minutes in cooling from 50°C to 45°C and takes five minutes and cooling from 45°C to 40°C what is the temperature of the surrounding how much time will it take to cool the substances from 40°C to 35°C
Answers
Answer:
The ambient temperature is 35°C.
It takes 15 minutes to cool the substance from 40°C to 35°C.
Explanation:
Using Newton's Law of Cooling to answer the given problem.
\(\boxed{\left\begin{array}{ccc}\text{\underline{Newton's Law of Cooling:}}\\\\ \frac{dT}{dt} =-k(T-T_a)\end{array}\right}\)
Given:
The time it takes to cool from 50°C to 45°C = 3 minutes
The time it takes to cool from 45°C to 40°C = 5 minutes
Find:
Time ambient temperature and the time it takes to cool the substance from 40°C to 35°C
~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
(1) - Using first initial condition:
\(\text{Avg temp =} \ \frac{50+45}{2}=\boxed{47.5 \textdegree C}\\\\\Longrightarrow \frac{50-45}{3}=-k(47.5-T_a) \\\\\Longrightarrow \boxed{ \frac{5}{3}=-k(47.5-T_a)}\)
(2) - Using the second initial condition:
\(\text{Avg temp =} \ \frac{45+40}{2}=\boxed{42.5 \textdegree C}\\\\\Longrightarrow \frac{45-40}{5}=-k(42.5-T_a) \\\\\Longrightarrow \boxed{1=-k(42.5-T_a)}\)
(3) - Now we have a system of equations.
\(\left \{ \frac{5}{3}=-k(47.5-T_a)}} \atop {1=-k(42.5-T_a)}}} \right.\)
(4) - Solve the system by dividing the top equation by the bottom equation.
\(\Longrightarrow \frac{\frac{5}{3}=-k(47.5-T_a)}{1=-k(42.5-T_a)} \\\\\Longrightarrow\frac{5}{3}=\frac{47.5-T_a}{42.5-T_a}\\ \\ \Longrightarrow 5(42.5-T_a)=3(47.5-T_a)\\\\\Longrightarrow 212.5-5T_a=142.5-3T_a\\\\\Longrightarrow 2T_a=70\\\\\therefore \boxed{T_a=35 \textdegree C}\)
Thus, the ambient temperature is 35°C.
(5) - Find the value of "k" using either of the two previous equations
\(1=-k(42.5-T_a)\\\\\Longrightarrow 1=-k(42.5-35)\\\\\Longrightarrow 1=-7.5k\\\\\Longrightarrow \boxed{ k \approx -0.133}\)
(6) - Now finding "dt"
\(\text{Avg temp =} \ \frac{40+35}{2}=\boxed{37.5 \textdegree C}\\\\\Longrightarrow \frac{40-35}{dt}=0.133(37.5-35) \\\\\Longrightarrow \frac{5}{dt}=0.3325\\\\\therefore \boxed{dt \approx15 \ min}\)
Thus, it take 15 minutes to cool the substance from 40°C to 35°C.