243 rad is the angle through which the wheel turns during this time.
What is torque and angular speed?
Torque is a measure of the force that can cause an object to rotate about an axis.
Angular speed is define as the measuring angle of rotation over a given amount of time.
Mathematically , ω = θ t
From the given question ,
Torque = 19.8 rad/s
ω = 23.5 rad/s
t = 11.2 s
We get the equation,
[tex]\frac{ 19.8 +23.5}{2} * 11.2[/tex]
= 243 rad
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What are the effects of gravity on earth?
Answer:
Without it, we could not survive on Earth. Earth orbits the sun due to the gravity of the sun, which maintains us at a convenient distance from it to enjoy the sun's warmth and light. It keeps the air we need to breathe and our atmosphere in place. Our planet is held together by gravity.
Tatenda is making tea and
toast. He uses an 800W
toaster for 2.5 minutes and
a 2kW kettle for 5 minutes.
What is the total cost for
the energy used if
electricity costs 10p per
unit?
The total cost for the energy used if electricity costs 10p per unit is determined as 2p.
Total energy consumedThe total energy consumed during the process is calculated as follows;
E = Pt
where;
P is power (kW)t is time (hr)E = (800 W/1000) x (2.5 /60) + (2 kW) x (5/60)
E = 0.8 kW x 0.042 hr + 2kW x 0.083 hr
E = 0.0336 kW-hr + 0.166 kW-hr
E = 0.1996 kW-hr
Cost of the energy consumptionC = E x 10p
C = 0.1996 kW-hr x 10p
C = 1.996p
C ≈ 2p
Thus, the total cost for the energy used if electricity costs 10p per unit is determined as 2p.
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If a drag racing motorcyclist has an initial speed of 10 m/s, and then he/she
accelerates for 15 seconds at 15 m/s2, what is the velocity after 15 seconds?
O 30 m/s
O235 m/s
O225 m/s
Answer:
235 m/s
Explanation:
v = u + at
where v = final speed,
u = initial speed (10 m/s),
a = acceleration (15 m/s²),
t = time taken (15 s).
Substituting into the formula:
v = 10 + (15 x 15)
v = 10 + 225
v = 235 m/s
When an electromagnet has an iron core inserted, what happens to the strength of the magnet?.
Answer:
The strength of the electromagnet increases.
Explanation:
The mercury thermometer operates on the principle of
The mercury thermometer operates on the principle of dilation.
What is the working principle of a mercury thermometer?Like all liquids, mercury expands as it is heated, so it moves along the thermometer tube, determining the temperature. Its expansion rate is calibrated on the glass scale, expansion is linear and can be accurately calibrated.
Mercury allows it to be used in a thermometer by its liquid expansion fast enough to measure something so that it still maintains an accurate measurement.
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what is periscope ? where it is used?
Explanation:
The periscope is used in the submarines to see what is going on the water surface.
It is also used in some gun turrets and it is used in armed vehicles.
✨Hope it helps.✨
True or false? ultrasonic cleaners are based on the same principle as echolocation in bats and some other animals.
The given statement is true ultrasonic cleaners are based on the same principle as echolocation in bats and some other animals.
What is echolocation?A physiological method for identifying far-off or unseen items (like prey) using sound waves that the objects reflect back to the source, such as a bat.
High-frequency sound waves are used in ultrasonic cleaning to scour clean objects that are submerged using liquid as a medium.
The cavitation of the solution's molecules is brought on by the high-frequency sound waves, which are generally 40 kHz in frequency.
Although bats have developed an advanced kind of echolocation that allows them to travel and find food in the dark, they have vision that is comparable to that of humans.
Bats use high frequency sound pulses emitted through their mouth or nose and listen for the echoes to achieve echolocation.
It is accurate to say that ultrasonic cleaners work on the same principles as creatures like bats and certain others that use echolocation.
Hence the given statement is true.
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Kory was on the porch when a loud sound caught his attention. Looking up, he saw a red car spinning across the intersection and a white car stopped in the intersection. He knew the typical sequence of events for a car collision involved two vehicles moving at speed. As he tried to make sense of the scene, he filled in missing details that he had not actually observed. This will likely result in:
The information illustrates that this will likely result in schema distortion.
What is schema?It should be noted that schema simply means a mental model of an object that includes knowledge, beliefs, and expectations.
In this case, the information illustrates that this will likely result in schema distortion. This led to the missing details.
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pls the explanation of archimedes principle
Explanation:
Hello !
Archimedes' principle''states that the upward buoyant force that is exerted on a body immersed in a fluid, whether fully or partially, is equal to the weight of the fluid that the body displaces.''
Archimedes principle equation is given as
buoyant force = density of fluid x volume of displaced fluid x acceleration due to gravity. or
Fb=-density*gravity*volume
For example, a ship that is launched sinks into the ocean until the weight of the water it displaces is just equal to its own weight.
Answer:
Archimedes principle states that"When a body is totally or partially immersed in a liquid,it experience an upthrust which is equal to the weight of the liquid displaced"
This shows that the weight of liquid displaced when a certain object is placed in water is equal to the weight of the object.
We have an Atwood device, two blocks connect by a string strung over a pulley, but the twist this time is that both blocks are on perfectly smooth inclines. The upper block is on an incline 15 degrees to the horizontal and has a mass of 7kg. The lower block is on an incline of 65 degrees to the horizontal and has a mass of 11kg. Find the acceleration of the system?
The Acceleration of the system is 6.41 m/s².
Given,
α= 15°, m₁ = 7kg
β= 65°, m₂ = 11 kg
Let, a be the acceleration and T is the tensions at the end it's the cord.
Let, the mass m₂ be coming down along the inclined plane along the inclined surface towards downward m₂g sin β and the tension in the upward direction,
Resultant force, m₂a=m₂g sin β -T
11a=((11) ×g sin 65°) -T ...(i)
Now, considering the motion of m₁ which moves downwards, the forces are m₁g sinα, and T both are acting downwards.
Resultant force m₁a = m₁g sin α+T
7a =7g sin 15°+T ...(ii)
Solving both the equations by adding them,
18a=11gsin 65°+7g sin 15°-T+T
18a=11gsin 65°+7g sin 15°=115.45
a=115.45/18=6.41 m/s²
Hence, the Acceleration of the system is 6.41 m/s².
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5. On a hot summer day the grass feels cooler than the sidewalk, because
O
O
the grass has a higher specific heat
the grass has a smaller surface area
the sidewalk is at a higher temperature
Answer:
because the side walk is at high temperature
When is a secondary source more helpful than a primary source?
A. When you want to know the exact data values
B. When you do not need to know the conclusion of the experiment
C. When you do not need many details about the experiment
D. When you are an expert in the field being studied in the experiment
Answer:
I think the answer is C.
Explanation:
A primary source is a first hand account of an event while a secondary source is a retelling or second hand account meaning as many details will be prevalent.
B
Which actions most likely cause the domains within a material to lose their alignment and become more
randomized? Check all that apply.
heating the material
Orubbing the material against a magnet
O passing electricity around the material
O placing the material in a magnetic field of opposite polarity
O placing the material near a strong magnet
O hitting the material
Mark this and return
Next
Submit
Answer: 2, 3, and 5
Explanation:
Anita knows that she is one of the best basketball players on her team. Several colleges have been interested in recruiting her. One has offered her the opportunity to work with a specialist in biometrics once she joins the team. Anita does not think that this is really necessary since she is already a very skilled athlete. What is the BEST advice to give Anita?
A.
If everyone else on the team is doing it, she probably should too.
B.
Even the most skilled athletes can benefit from attention to biometrics.
C.
Using biometrics will help with her overall fitness but probably not her game.
D.
She probably already has all of the necessary skills since colleges are scouting her.
Anita has to pay attention to biometrics since even the most accomplished athletes may benefit from it.Option B is correct.
What is biometrics?Biometrics is the measurement of physiological traits that may be used to identify a person, including but not limited to fingerprint, iris pattern, and face features.
Anita is aware that she is one of her team's top basketball players. She has drawn interest from several colleges.
One has offered her the chance to collaborate with a biometrics expert once she joins the company. Since she is already a very accomplished athlete.
Anita does not believe that this is truly essential. The best piece of advice I can give Anita is to pay attention to biometrics since even the most accomplished athletes may benefit from it.
Hence,option B is correct.
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A 50-kg block is at rest on a 15o slope. A force of 250 N is acting on the block up the slope parallel to it. If the block does not slide up the slope, what is the minimum value of the coefficient of static friction between the block and the slope
The minimum value of the coefficient of static friction between the block and the slope is 0.53.
Minimum coefficient of static frictionApply Newton's second law of motion;
F - μFs = 0
μFs = F
where;
μ is coefficient of static frictionFs is frictional forceF is applied forceμ = F/Fs
μ = F/(mgcosθ)
μ = (250)/(50 x 9.8 x cos15)
μ = 0.53
Thus, the minimum value of the coefficient of static friction between the block and the slope is 0.53.
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Name and Title:
Include your name, instructor's name, date, and name of lab.
Objectives(s):
In your own words, what is the purpose of this lab?
Hypothesis:
In this section, please include the predictions you developed during your lab activity. These statements reflect your predicted outcomes for the experiment.
Procedure:
The materials and procedures are listed in your virtual lab. You do not need to repeat them here. However, you should note if you experienced any errors or other factors that might affect your outcome. Using your summary questions at the end of your virtual lab activity, please clearly define the dependent and independent variables of the experiment.
Data:
Record the elements present in each unknown astronomical object. Be sure to indicate “yes” or “no” for each element.
Hydrogen Helium Lithium Sodium Carbon Nitrogen
Moon One
Moon Two
Planet One
Planet Two
Conclusion:
Your conclusion will include a summary of the lab results and an interpretation of the results. Please answer all questions in complete sentences using your own words.
Using two to three sentences, summarize what you investigated and observed in this lab.
Astronomers use a wide variety of technology to explore space and the electromagnetic spectrum; why do you believe it is essential to use many types of equipment when studying space?
If carbon was the most common element found in the moons and planets, what element is missing that would make them similar to Earth? Explain why. (Hint: Think about the carbon cycle.)
We know that the electromagnetic spectrum uses wavelengths and frequencies to determine a lot about outer space. How does it help us find out the make-up of stars?
Why might it be useful to determine the elements that a planet or moon is made up of?
The variable that is altered by the independent variable is called the dependent variable. the spectrum given out by the hypothetical unknown celestial object.
Name : Christopher Andre
Instructor name : Albert brown
Name of the lab : ELS Laboratory
The term electromagnetic spectrum refers to the range of electromagnetic radiation's frequencies, as well as the wavelengths and photon energies connected to each frequency.
By analyzing the absorption spectra of the planets and moons, the electromagnetic spectrum experiment seeks to identify the components that make up their atmospheres.
From below one hertz to over 1025 hertz, electromagnetic waves are included in the electromagnetic spectrum.
The wavelengths that correlate to the frequency range from tens of thousands of kilometers to a small portion of the size of an atomic nucleus.
Starting at the low frequency (long wavelength) end of the spectrum, each frequency band's electromagnetic waves are referred to by a variety of names.
Hence the dependent variable is the one that changes as a result of the independent variable.
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How are step-up transformers used in the transmission of electrical energy?
How are step-up transformers used in the transmission of electrical energy?
They increase the voltage for efficient long-distance transmission.
They decrease the voltage before it leaves a power plant.
They increase the current for efficient long-distance transmission.
They increase the voltage and the current for a short-distance transmission.
The step-up transformers are used in the transmission of electrical energy in the way they increase the voltage for efficient long-distance transmission.
What is transformer?
A transformer transfers electric energy from one AC circuit to one or more other circuits, either stepping up or stepping down the voltage.
In step up transformers, the voltage are increased from low to high. Step ups are used of long distance transmission In step down transformers, the voltage is decreased from high to low based on the purpose.
Thus, they increase the voltage for efficient long-distance transmission.
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suggest why it is better to use light gates and a computer than to use a stopwatch and a ruler to measure the speed of a toy car
Answer:
light gates are more reliable
Explanation:
when using a manual stop watch it's difficult to stop it at an exact time. light gates able to detect when an object passes through a 'gate' with the infrared transmitter and receiver. (sorry for my explanation)
A 1.5 x 10^4 kg railroad car moving at 7m/s to the north collides with and sticks to another car of 2 x 10^4 kg that is moving in the opposite direction. What is the velocity of the 2x10^4 kg car just before the collision if their final velocity is found to be 3 m/s.
The velocity of the 2x10^4 kg car just before the collision is 0 m/s.
What is conservation of momentum principle?When two bodies of different masses move together each other and have head on collision, they travel to same or different direction after collision.
The external force is not acting here, so the initial momentum is equal to the final momentum. For inelastic collision, final velocity is the common velocity for both the bodies.
m₁u₁ +m₂u₂ =(m₁ +m₂) v
Substitute the values for m₁ = 1.5 x 10^4 kg, m₂ =2 x 10^4 kg and u₁ =7 m/s, the final velocity is 3m/s/
1.5 x 10^4 x 7+2 x 10^4 x u₂ = (1.5 x 10^4 + 2 x 10^4) x 3
u₂ = 0 m/s
So, the car with mass 2x10^4 kg is stationary.
Thus, the velocity of the 2x10^4 kg car just before the collision is 0 m/s.
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This diagram shows a wire with a current flowing through it. What do the circles and arrows around the wire represent?
A) They represent an electromagnetic field.
B) They represent an electric field.
C) They represent attraction between charged particles.
D) They represent a magnetic field.
1. A racing car moving with constant acceleration covers two successive kilometres in 30 seconds and 50 seconds respectively. find the acceleration of the car.
2. A ball is thrown vertically upwards with a velocity of 20 metre per second from the top of a multi-storey building the height of the point from where the ball is from 25 m from the ground.
The acceleration of the car is calculated as 10 m/s.
What is acceleration?The acceleration is the rate of change of velocity with time. Given that;
s = ut + 1/2 at^2
Assuming that the motion started from rest, u = 0 m/s
s = 1/2 at^2
2000 = 0.5 * a * (20)^2
a = 2000/ 0.5 * (20)^2
a = 10 m/s^2
2) The time taken to reach the maximum height is gotten from;
v=u+at
0=20+(−10)t
t=2s
Then time taken to reach the maximum height;
s = ut + 1/2 at^2
s = 20(2)+0.5(−10)(2)^2
s = 20m
The maximum height is therefore 45 m thus;
45=0+0.5(10)(t)^2
t = 3s
Total time= 3+2= 5s
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acceleration = a
1000 = u(30) + 0.5a(30)²
1000 = 30u + 450a
velocity after covering 1 km = u + 30a
1000= (u+30a) (20) + 0.5a (20)²
1000= 20u + 800a
u = 35a
putting the value of u in above equation
so, a = 2/3
2. refer to the above attachment
To reach a distance of 2 km, a car has to cover a path of 2.4 km in 10 minutes. Calculate its average speed and velocity
Answer:
Average speed = 0.24 km/min.
Average velocity = 0.2 km/min.
Explanation:
Finding average velocity :
Least possible distance / Time taken2 km / 10 min0.2 km/min.Finding average speed :
Path distance / Time taken2.4 km / 10 min0.24 km/min.briefly describe how the micrometre screw gauge is used
Answer:
the micrometre screw gauge is used for making precise linear measurements (e.g to measure diameter of a wire)
If the slowest instruction in the SCA executes in 12.5 ns, then what is maximum system clock frequency in MHz
Since the slowest instruction in the SCA executes in 12.5 ns, the maximum system clock frequency is 80 MHz
To answer the question, we need to know what frequency is.
What is frequency?Frequency is the number of oscillations per second of a wave.
It is given by f = 1/T where T = period of wave
Now, given that the slowest instruction in the SCA executes in t = 12.5 ns, we need to calculate maximum system clock frequency, f.
What is the maximum system clock frequency?So, f = 1/t
= 1/12.5 ns
= 1/(12.5 × 10⁻⁹ s)
= 1/12.5 × 10⁹ Hz
= 0.08 × 10⁹ Hz
= 80 × 10⁻³ × 10⁹ Hz
= 80 × 10⁶ Hz
= 80 MHz
So, the maximum system clock frequency is 80 MHz
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A crate hangs from a ring at the middle of a rope, as the drawing illustrates. a person is pulling on the right end of the rope to keep the crate in equilibrium. can the rope ever be made to be perfectly horizontal
Answer:
No
Explanation:
In order for the rope to be perfectly horizontal, there must be a vertical component in tension
An empty container has a mass of 62.000 grams. You fill it with 24.6 mL of a liquid. The final mass of the container is 81.34 grams. What is the density of the liquid to the correct number of significant figures?
density = mass / volume
mass = 81.34 - 62
= 19.34 g
volume = 24.6 ml
density = 0.786 g/ml
The human nerve cells have a net negative charge and the material in the interior of the cell is a good conductor. if the cell has a net charge of - 7.85 pc, what are the magnitude and direction (inward or outward) of the net flux through the cell boundary
The magnitude and direction (inward or outward) of the net flux through the cell boundary is - 0.887 wb.m².
What is flux?
Flux describes any effect that appears to pass or travel through a surface or substance.
The magnitude and direction (inward or outward) of the net flux through the cell boundary is calculated as follows;
Ф = Q/ε
where;
Q is net chargeε is permittivity of free spaceΦ = (-7.85 x 10⁻¹²)/(8.85 x 10⁻¹²)
Φ = - 0.887 wb.m²
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When the sun runs out of hydrogen in its core, it will become larger and more luminous because:.
Answer:
Because the size of the star has expanded, the surface cools down and goes from white-hot to red-hot. Because the star is brighter, redder and physically larger than before, we dub these stars "red giants"
Question 8 of 10
What is the equivalent resistance of the circuit?
120.0 V
OA. 40.0 2
Β. 200.0 Ω
C. 20.02
D. 80.0 2
60.002
20.0 Ω
The equivalent resistance of the circuit will be option (D) 80.0 Ω
According to Ohm's law, the voltage across two places is precisely proportional to the current flowing through a conductor between them.
The obstruction to current flow in an electrical circuit is measured by resistance. The Greek letter omega (Ω) represents the unit of measurement for resistance, known as ohms. Georg Simon Ohm is the name given to ohms.
Since in the given figure the resistance are in series so there equivalent resistance will be sum of the two resistance. If they were in parellal connection then we will add reciprocal of their resistance.
Let R1 = 60 Ω and R2 = 20 Ω. So their equivalent resistance will be as follow:
R = R1 + R2
R = 60 + 20
R = 80 Ω
Hence the equivalent resistance of the circuit will be 80 Ω
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I need help!1
An ambulence is currently travelling at 15m/s and is accelerating with a constant acceleration of 5m/s^2, the ambulence is attempting to pass a car which is moving at a constant velocity of 30m/s. how far must the ambulence travel until it matches the car's velocity?
Answer:
67.5m
Explanation:
Use the kinematics equation.[tex]\frac{vf^2-vo^2}{2a} =x[/tex]
[tex]vf=30[/tex] [tex]vo=15[/tex] [tex]a=5[/tex]
[tex]\frac{30^2-15^2}{10} =x\\[/tex]
[tex]67.5=x[/tex]
