If mass A is 1.0 kg, mass B is 5.0 kg, and the frictional pulley has a mass of 0.5 kg and a radius of 0.15 m, what is the velocity of A and B at 0.5 seconds?
a. A = 1.72 m/s, B = 0.22 m/s
c. A = 0.22 m/s, B = 1.72 m/s
b. A = 3.14 m/s, B = -3.14 m/s
d. A = -3.14 m/s, B = 3.14 m/s
Answers
Answer:
b. A = 3.14 m/s, B = -3.14 m/s
Explanation:
Assuming this refers to an Atwood machine, draw free body diagrams for each mass.
For mass A, there are two forces: tension T₁ pulling up and weight m₁g pulling down.
For mass B, there are two forces: tension T₂ pulling up and weight m₂g pulling down.
For the pulley, there are two torques: tension T₁r pulling counterclockwise and tension T₂r pulling clockwise.
Sum of forces on A in the +y direction:
∑F = ma
T₁ − m₁g = m₁a
T₁ = m₁g + m₁a
Sum of forces on B in the -y direction:
∑F = ma
m₂g − T₂ = m₂a
T₂ = m₂g − m₂a
Sum of torques on the pulley in the clockwise direction:
∑τ = Iα
T₂r − T₁r = (½ mr²) (a/r)
T₂ − T₁ = ½ ma
Substitute:
m₂g − m₂a − (m₁g + m₁a) = ½ ma
m₂g − m₂a − m₁g − m₁a = ½ ma
m₂g − m₁g = m₂a + m₁a + ½ ma
g (m₂ − m₁) = a (m₂ + m₁ + ½ m)
a = g (m₂ − m₁) / (m₂ + m₁ + ½ m)
a = (9.8 m/s²) (5.0 kg − 1.0 kg) / (5.0 kg + 1.0 kg + ½ (0.5 kg))
a = 6.272 m/s²
Given:
v₀ = 0 m/s
a = 6.272 m/s²
t = 0.5 s
Find: v
v = at + v₀
v = (6.272 m/s²) (0.5 s) + 0 m/s
v = 3.14 m/s
Therefore, mass A will rise at 3.14 m/s, and mass B will fall at 3.14 m/s.
Related Questions
A is easier to solve with mental math b. There is more work to be done for B, for both man and machine c. Both problems are of similar difficulty if computational thinking is applied d. All of the above
Answers
The correct option is d. All of the above. All the options are correct and satisfy the conditions mentioned below.
a. A is easier to solve with mental math. This condition is correct because the problem A involves smaller numbers which are easier to manipulate mentally compared to the large numbers involved in B.
b. There is more work to be done for B, for both man and machine. This condition is correct because problem B involves larger numbers which are difficult to handle manually as well as through machines compared to A.
c. Both problems are of similar difficulty if computational thinking is applied. This condition is correct because computational thinking involves breaking down a complex problem into small and manageable parts. Both problems A and B can be solved using computational thinking by breaking down the large numbers into small parts. This makes both the problems of similar difficulty when computational thinking is applied.
Therefore, the correct answer is d. All of the above.
Learn more about mental math visit:
brainly.com/question/1056269
#SPJ11
A solid block of wood of density 0.6gcm^-3weighs 3.06 N in air Determine(A)Volume of the block (b)the volume of the block immersed when placed freely in a liquid of density 0.9gcm^-3?
Answers
The volume of the solid is 5.1 * 10^-4 m^3.
What is the volume of the block?The term density is used to describe the ratio of the mass to the volume of a substance. We now have to find the volume of the substance from the information provided.
Density of the solid = 0.6gcm^-3 or 600 Kg/m^3
Mass of the solid = 3.06 N/10 m/s^2 = 0.306 Kg
Now;
volume = mass/density = 0.306 Kg/ 600 Kg/m^3 = 5.1 * 10^-4 m^3
Given that the force = 3.06 N
Density = 0.9gcm^-3 or 900 Kg/m^3
Then;
Volume = 3.06/900 Kg/m^3 * 10 m/s^2
Volume = 3.04 * 10^-4 m^3
Learn more about density:https://brainly.com/question/15164682
#SPJ1
An astronaut travels to a distant star with a speed of 0.56 c relative to Earth. From the astronaut's point of view, the star is 7.6 ly from Earth. On the return trip, the astronaut travels with a speed of 0.88 c relative to Earth.
What is the distance covered on the return trip, as measured by the astronaut? Give your answer in light-years.
L=___lightyear
Answers
An astronaut travels to a distant star with a speed of 0.56 c relative to Earth and from the astronaut's point of view, the star is 7.6 ly from Earth. On the return trip, the astronaut travels with a speed of 0.88 c relative to Earth.
To explain, "c" represents the speed of light and is approximately 299,792,458 meters per second. The distance between two objects is measured in light-years (L) which is the distance that light travels in a year.
In this scenario, the astronaut is traveling at 0.56 times the speed of light, which is incredibly fast. From their point of view, the star is 7.6 light-years away from Earth. On the return trip, they travel even faster at 0.88 times the speed of light relative to Earth.
It's important to note that time dilation occurs at these speeds, meaning that time will appear to move slower for the astronaut than it does for people on Earth. This is due to the theory of relativity and the fact that as an object approaches the speed of light, its mass increases and time slows down.
To know more about speed of light refer to
https://brainly.com/question/29216893
#SPJ11
Distinguish between the terms strength, power, and endurance as they are used in weightlifting
Answers
Answer:
Yes
Explanation:
Because I know
Answer:
Strength is measured in terms of how much weight can be lifted no matter how much time is taken. Power is measured in terms of how much weight can be lifted in a specific time period. Endurance training is based on progressive repetition exercises. ""HOPE THIS HELP""
I WILL GIVE BRAIN LIST PLS HELP
Answers
Answer:
C is corret answer okay
(ANSWER NOW PLS) A diver with a mass of 90kg is at a height of 10m, and he has not jumped off of the board yet (v=0m/s) what's his kinetic energy?
Answers
Answer: there is zero kinetic energy but there is Gravitational Potential Energy (GPE) and GPE = 8826.3 J
Explanation:
compared to a solid wire of the same gauge, stranded wire? select one: a. has a slightly larger diameter b. will carry more current c. is less susceptible to interference d. is more susceptible to interference
Answers
compared to a solid wire of the same gauge, stranded wire is more susceptible to interference.
A solid wire consists of a solid metal core while stranded wires are made of a quantity of thinner wires that are twisted together into an organized bundle.
But because of the bundle feature of the stranded wires, they have more surface areas in comparison to the solid wires, so there is more chances to have dissipation in this type of wires, specially when high frequency current is being passed.
Due to more dissipation it is more likely to have interference.
To learn more about stranded wire, visit here
https://brainly.com/question/28987082
#SPJ4
A concrete parking garage has a 6-in concrete slab at each level. The 6-in slab weighs 75 psf (NOTE : psf =lb/ft∧2). If the columns are placed on a rectangular grid with 25−ft spacing in the long direction and 20 - t spacing in the short direction. What is the concentrated reaction to the column due to the weight of the slab on a single level? Assume all framing is simply supported, with a regular spacing, and equal reactions at each end . ( 25 Points) 37,500lb 30.000lb 225,000fo 46675lb
Answers
The concentrated reaction to the column due to the weight of the slab on a single level is 37,500 lb.
To calculate the concentrated reaction to the column, we need to determine the total weight of the slab on a single level.
Given that the weight of the 6-inch concrete slab is 75 psf (pounds per square foot), we first convert it to pounds per square inch (psi) by dividing by 144 (since 1 square foot is equal to 144 square inches).
Weight of slab per unit area = 75 psf / 144 = 0.5208 psi
Next, we calculate the area of the slab on a single level by multiplying the spacing in the long direction (25 ft) by the spacing in the short direction (20 ft).
Area of slab = 25 ft * 20 ft = 500 sq. ft
Finally, we multiply the weight per unit area by the area of the slab to find the total weight of the slab on a single level.
Total weight of slab = 0.5208 psi * 500 sq. ft = 260.4 lb
Therefore, the concentrated reaction to the column due to the weight of the slab on a single level is 37,500 lb.
To learn more about weight,click here:
brainly.ph/question/58869
#SPJ11
The drag on an object depends on several variables. The most important of them, to understand the experiments you carried out is: Group of answer choices The largest length of the object. The roughness of the object. The specific gravity of the object. The material the object is made of. The density of the object. The area of the object.
Answers
Among the variables mentioned, the most important factor that influences drag on an object in the experiments conducted is the object's area.
Drag is the force that opposes the motion of an object through a fluid (such as air or water). It depends on several factors, including the object's area, shape, speed, and the properties of the fluid. However, in the context of the experiments conducted, the area of the object is the most significant factor.
The larger the surface area of an object facing the fluid flow, the greater the drag force it experiences. This is because a larger area creates more resistance to the fluid, resulting in higher drag. Other variables mentioned, such as the length, roughness, specific gravity, material, and density of the object, may indirectly influence drag by affecting the object's shape or ability to streamline, but they are not as directly correlated to drag as the area.
By controlling the area of the object in the experiments, researchers can investigate the impact of drag on the object's motion. Altering the object's area allows for comparative analysis to understand how changes in surface area affect the drag force experienced, providing insights into fluid dynamics and the relationship between objects and their environment.
Learn more about fluid flow here:
https://brainly.com/question/14272057
#SPJ11
if energy cannot be destroyed, why do some people worry about the energy supply?
Answers
it is true that energy can not be destroyed, it can be converted into different forms and can be lost through inefficient use. So some people worry about the energy supply
While it is true that energy cannot be destroyed, it can be converted into different forms and can be lost through inefficient use. This is why people worry about the energy supply. The world's energy demand is constantly increasing, and we need to ensure that we have a steady and reliable supply of energy to meet our needs. Additionally, the production and use of energy can have negative environmental impacts, such as greenhouse gas emissions and pollution, so people are also concerned about finding sustainable and clean sources of energy. Ultimately, while the conservation of energy is a physical law, the supply and availability of energy are important considerations for ensuring that we have the resources we need to power our lives.
To learn more about energy visit: https://brainly.com/question/13881533
#SPJ11
an elevator is moving from up in a building. as it nears the 6th floor it slows down at a rate of 0.10m/s. a 75 kg man is standing on a scale inside the elevator. what is the scale reading?
Answers
Weight = mass * gravitational acceleration
where the mass is given as 75 kg and the gravitational acceleration is 9.8 m/s^2.
So the weight of the 75 kg man would be:
Weight = 75 kg * 9.8 m/s^2 = 735 N
Now, when the elevator slows down, there is a force acting on the person in the opposite direction of the motion, called the apparent weight and it is given by the equation:
Apparent weight = weight - normal force
where the normal force is given by:
Normal force = m * a
where m is the mass of the object and a is the acceleration of the elevator.
As the elevator slows down, the acceleration of the elevator is the negative of the deceleration, which is -0.10 m/s^2.
So, the normal force = m * a = 75 kg * -0.10 m/s^2 = -7.5 N
Now, the apparent weight = weight - normal force = 735 N - (-7.5 N) = 735 N + 7.5 N = 742.5 N
So the scale will read 742.5 N or 742.5 kg.
a jet was going 100 m/s. over a distance of 200m, the jet accelerated up to a speed of 150 m/s. how long did this take?
Answers
It took jet 1.6 seconds to accelerate from 100 m/s to 150 m/s over the distance of 200m.
What is Acceleration?Acceleration is defined as the rate of change of velocity (v) with respect to time. Mathematically, the instantaneous measurement of acceleration is given by-
a = dv/dt
Given is a jet moving at 100 m/s such that it accelerated to a speed of 150 m/s over the distance of 200m. From this, we can write -
Initial velocity [u] = 100 m/s
Final velocity [v] = 150 m/s
Distance covered [d] = 200m
Using the third equation of motion -
v² - u² = 2aS
150 x 150 - 100 x 100 = 2 x a x 200
250 x 50 = 400a
a = (250 x 50)/400
a = 31.25 m/s²
Using first law of motion -
v = u + at
150 = 100 + 31.25t
t = 50/31.25
t = 1.6 seconds
Therefore, it took jet 1.6 seconds to accelerate from 100 m/s to 150 m/s over the distance of 200m.
To solve more questions on Kinematics, visit the link below-
https://brainly.com/question/6594405
#SPJ1
As a wave links of electromagnetic waves increase the frequencies ____ for waves moving in a ____
Answers
your question seems incomplete, I think you are asking the question which is given below.
Question: As the frequency of electromagnetic waves increases, what happens to the wavelength?
when the frequency of an electromagnetic wave increases, its wavelength would decrease, according to eq (i).
speed of light = frequency X wavelength ............(i)
as the speed of light is constant in the same medium.
see this to get the idea :
brainly.com/question/17831582
Not far from the mirror showcase (the figure shows a top view) there is a person (indicated by point H in the figure), and closer to the showcase there is a lamppost (point C). By building, find the positions at which the observer (points H, which are indicated for example and are not the answer) will see in the window: a person to the left of the pillar; the person to the right of the pillar; a pole blocking a person
Answers
The observer (point H) must be positioned to the right of the person and to the left of the lamppost, to the left of the person and to the right of the lamppost, or behind the lamppost to see the person obstructed by it.
To determine the possible positions of the observer (point H) relative to the mirror showcase, we need to consider the given information about the position of the person and the lamppost.
If the person is to the left of the lamppost (point C) as seen in the window, then the observer (point H) must be positioned to the right of the person and to the left of the lamppost. This is because the mirror will reflect the image of the person to the right, and the observer must be positioned to the right of the reflected image to see it.
If the person is to the right of the lamppost (point C) as seen in the window, then the observer (point H) must be positioned to the left of the person and to the right of the lamppost. This is because the mirror will reflect the image of the person to the left, and the observer must be positioned to the left of the reflected image to see it.
If the lamppost (point C) obstructs the view of the person as seen in the window, then the observer (point H) must be positioned behind the lamppost, either to the left or to the right of it. This is because the mirror will not be able to reflect the image of the person due to the obstruction caused by the lamppost.
In summary, the possible positions of the observer (point H) relative to the mirror showcase are:
To the right of the person and to the left of the lamppost, to see the person to the left of the lamppost. To the left of the person and to the right of the lamppost, to see the person to the right of the lamppost. To the left or right of the lamppost, behind it, to see the obstruction of the person caused by the lamppost.
To learn more about observers
https://brainly.com/question/31715625
#SPJ4
Complete question:
Using the given information, determine the possible positions of the observer (point H) relative to the mirror showcase such that the following are observed:
1 - The person is to the left of the lamppost (point C) as seen in the window.
2 - The person is to the right of the lamppost (point C) as seen in the window.
3 - The lamppost (point C) obstructs the view of the person as seen in the window.
Two identical, side-by-side springs with spring constant 280 N/m support a 1.50kg hanging box. By how much is each spring stretched?
Answers
Answer:
Approximately \(0.0263\; {\rm m}\) (assuming that \(g = 9.81\; {\rm N \cdot kg^{-1}}\).)
Explanation:
The weight of this \(m = 1.50\; {\rm kg}\) box is:
\(\begin{aligned}(\text{weight}) &= m\, g \\ &= (1.50\; {\rm kg})\, (9.81\; {\rm N\cdot kg^{-1}}) \\ &\approx 14.715\; {\rm N}\end{aligned}\).
The tensions in the two springs, combined, is equal to the weight of this box.
To determine how the weight is split between the two springs, consider Hooke's Law. By Hooke's Law, the tension in the spring is proportional to the distance (displacement) by which the spring is stretched:
\((\text{tension}) = (\text{spring constant})\, (\text{displacement})\).
The spring constant of the two springs in this questions are equal. For the springs to hold the box side-by-side, their displacements also need to be equal. Hence, the tension in the two springs would be the same.
Therefore, the weight of the box would be evenly split between the two springs. The tension in each spring would be:
\(\begin{aligned}\frac{(\text{weight})}{2} &= \frac{14.715\; {\rm N}}{2} \approx 7.3575\; {\rm N}\end{aligned}\).
To find the displacement of the spring, divide the tension in each spring by the spring constant:
\(\begin{aligned}(\text{displacement}) &= \frac{(\text{tension})}{(\text{spring constant})} \\ &\approx \frac{7.3575\; {\rm N}}{280\: {\rm N\cdot m^{-1}}} \\ &\approx 0.0263\; {\rm m}\end{aligned}\).
Luke stands on the edge of a roof throws a ball downward. It strikes the ground with 100J of kinetic energy. Luke now throws another identical ball upward with the same initial speed, and this too falls to the ground. Neglecting air resistance, the second ball hits the ground with kinetic energy of____J
A) Less than 100
B) 100
C) 200
D) More than 200
Answers
An airplane pilot wishes to fly due west. a wind of 88.0 km/h is blowing toward the south.
a. if the airspeed of the plane (its speed in still air) is 420.0 km/h, in which direction should the pilot head?
b.what is the speed of the plane over the ground?
Answers
The typical speed of commercial aircraft is approximately 460-575 mph, or 740-930 km/h, according to Flight Deck Friend.
How do you calculate an airplane's speed?The amount of time needed to cover a particular distance on the ground is referred to as ground speed. For instance, when flying at cruising altitude, airplanes may have a ground speed of 300-600 knots (555-1,110 kmph). However, depending on the wind, the plane's speed over the ground may alter.
Calculation:The aircraft must travel south at a component speed that is opposite of and equal to 80 km/h. The plane's overall speed can only be the same after that. There will be a speed of 320 kilometers per hour.
The typical speed of a commercial airplane is between 460 and 575 mph (740 to 930 km/h).
To know more about speed visit:-
https://brainly.com/question/28224010
#SPJ4
As you approach a steady light source, the wavelength of the emitted light appears.
Answers
As you approach a steady light source, the wavelength of the emitted light appears shorter.
The distance over which a periodic wave's shape repeats is known as its wavelength. It is a property of both traveling waves and standing waves, as well as other spatial wave patterns. It is the distance between two successive corresponding locations of the same phase on the wave, such as two neighboring crests, troughs, or zero crossings. The spatial frequency is the reciprocal of the wavelength. The Greek letter lambda () is frequently used to denote wavelength. The term wavelength is also sometimes used to describe modulated waves, their sinusoidal envelopes, or waves created by the interference of several sinusoids.
Wavelength and frequency are inversely related for a sinusoidal wave traveling at a constant speed.
Learn more about wavelength here:
https://brainly.com/question/13533093
#SPJ4
A scientist plans to find out the cause of decrease in bird population in a location. He interviews 50 people who work in the local oil mine and 45 of them believe that the mine does not affect the birds. The scientist concludes that 90 percent of people in the location believe that the local oil mine does not cause decrease in bird population. Why is the scientist's conclusion most likely unreliable?
A. the source of information could be biased
B. the investigation is done by only one person
C. bird population cannot be measured accurately
D. the results of the investigation cannot be repeated
Answers
The correct option is A. The source of information could be biased.
The scientist's conclusion is most likely unreliable because the sample used for the investigation is not representative or diverse enough to draw a generalized conclusion about the beliefs of the entire population.
Interviewing only 50 people who work in the local oil mine introduces a potential bias, as those individuals may have a vested interest in downplaying the impact of the mine on bird population decline.
Additionally, the sample size is relatively small, which reduces the statistical reliability of the conclusion.
To obtain a more accurate and reliable conclusion, a larger and more diverse sample should be used, including individuals from various backgrounds and perspectives, along with other data collection methods such as field surveys or scientific studies.
For more such questions on information, click on:
https://brainly.com/question/29182165
#SPJ11
Calculate the answer to the correct
number of significant digits.
15.3 + 1.285
Answers
joshua is attracted toward earth by a 500 -n gravitational force. the earth is attracted toward joshua with a force of zero. 500 n. 250 n. 1000 n. none of the above
Answers
none of the above. According to Newton's third law of motion, for every action, there is an equal and opposite reaction.
In this case, if Joshua is attracted toward Earth by a 500 N gravitational force, then by Newton's third law, Earth is also attracted toward Joshua with an equal and opposite force of 500 N. The gravitational force between two objects is always mutual and equal in magnitude but opposite in direction.
Newton's third law of motion states that for every action, there is an equal and opposite reaction. This means that when an object exerts a force on another object, the second object exerts an equal and opposite force on the first object. The forces always occur in pairs and act on two different objects.
For example, if you push against a wall with a certain amount of force, the wall pushes back on you with an equal amount of force in the opposite direction. Another example is the propulsion of a rocket. The rocket pushes exhaust gases backward, and in response, the gases push the rocket forward with an equal force.
Learn more about Newton's third law of motion here:
https://brainly.com/question/29768600
#SPJ11
¿A qué altura se podría haber elevado un cuerpo de 100 kilogramos de peso con esa misma energía? Rta=3673.5m
Answers
Respuesta:
3673.5m
Explicación:
Falta el dato de energía para poder resolver el problema pero vamos a suponer un dato para ver el procedimiento.
Supongamos que se emplean 3600030 J para elevar un cuerpo de 100 kg una cierta altura, aumentando su energía potencial. Los datos son:
Energía potencial (Ep): 3,600,030 JMasa del cuerpo (m): 100 kgGravedad terrestre (g): 9.8 m/s²Para calcular la altura alcanzada (h), podemos usar la siguiente fórmula.
Ep = m × g × h
h = Ep/m × g
h = 3,600,030 J/100 kg × 9.8 m/s² = 3673.5m
Melissa was putting on her makeup when she accidentally ran into a stopped car at a red light, 11. 01 m in front of her. Melissa's 1,219 kg car was moving at 8. 133 m/s and came to a complete stop in 0. 3994 seconds. What is the magnitude of the force that stopped Melissa's car?
a
2. 970E4 N
b
1. 535E4 N
c
1. 934E4 N
d
4. 550E4 N
e
4. 295E4 N
f
3. 400E4 N
g
3. 821E4 N
h
2. 482E4 N
Answers
The required magnitude of the force that stopped Melissa's car is 118608.7 N.
What are 1st 2nd and 3rd laws of motion?According to the first law, unless a force acts on an object, it will not alter its motion. According to the second law, an object's force is determined by multiplying its mass by its acceleration. According to the third law, when two objects interact, they exert equal-sized and opposite-direction forces upon one another.
According to question:An object at rest remains at rest, and an object in motion remains in motion at constant speed and in a straight line unless acted on by an unbalanced force.
Given,
speed=8.133 m/s
final velocity=0 (due to impact)
time=0.3994 seconds
distance=11.01m
Then,
S = ut + (at^2)/2
a = 2(s - ut)t^2
a = 97.3 m/s^2
So,
Force = ma
Force = 1219(97.3)
Force = 118608.7 N
To know more about acceleration visit:-
brainly.com/question/12550364
#SPJ4
A 10-gram marble has a speed that is 5 times faster than that of a 100-gram marble. Both marbles roll off the table at the same time. Answer the following questions. In your explanations, address the fact that the marbles have different masses and. different speeds. [1] (a) Which marble hits the ground first and why? (b) Which marble travels farther and why?
Answers
(a) It can be stated that the 10-gram marble hits the ground first because it has a higher acceleration and travels faster.
(b) Both marbles will travel the same distance since their horizontal components of velocity and initial velocity with respect to the ground are the same.
According to the given statement, a 10-gram marble has a speed that is 5 times faster than that of a 100-gram marble. Both marbles roll off the table at the same time. The questions to answer are as follows:
(a) The acceleration due to gravity is constant at 9.8 m/s², according to Newton's Law of Gravitation.
According to the law of physics, heavier objects fall faster than lighter ones, but since the 10-gram marble has a speed that is five times faster than the 100-gram marble, it implies that the 10-gram marble covers more ground in less time than the 100-gram marble as acceleration is directly proportional to the force applied.
The time taken by both marbles to reach the ground is given byt = √(2h/g)where h is the height from which the marbles were dropped, and g is the acceleration due to gravity.
The height from which the marbles were dropped is the same in both cases, so it can be stated that the 10-gram marble hits the ground first because it has a higher acceleration and travels faster.
(b) The range traveled by both marbles is determined by the horizontal component of their velocity. It's worth noting that the horizontal components of their velocities are identical since they were launched from the same height, so there's no advantage for either marble.
The range of a projectile is determined by the formula:
R = u²sin(2θ)/g where R is the range, u is the velocity of the object, θ is the angle of the initial velocity with the horizontal, and g is the acceleration due to gravity.
Since the angle of the initial velocity with the horizontal is the same for both marbles, and their initial velocity is also the same, it can be stated that both marbles travel the same distance.
Therefore, both marbles will travel the same distance since their horizontal components of velocity and initial velocity with respect to the ground are the same.
For more such questions on acceleration, click on:
https://brainly.com/question/460763
#SPJ8
A wave has frequency of 50 Hz and a wavelength of 10 m. What is the speed?
Answers
Answer:
v=500 m/s
Solution:v=(10m)(50/s)
How much work does it take to move 12 C of charge from point A to point B if the electrical potential difference between the two points is 3.0 V? O 64) 0.25 J 1.3 J O ) 4.0) 36 For which of the following angles, is the magnetic flux through a loop of wire the maximum When the angle between the normal to the area inside the loop is perfectly aligned with the magnetic field vector. When the angle between the normal to the area inside the loop is 60 degrees from the magnetic field vector. When the angle between the normal to the area inside the loop is 45 degrees from the magnetic field vector. When the angle between the normal to the area inside the loop is exactly perpendicular to the magnetic field vector. How much energy is stored by a capacitor if its capacitance is 65 pF (picofarads) and the voltage across the capacitor is 18 volts? Give your answer to the nearest hundredth (0.01) n) (nanojoule). Do NOT give units in your answer (since the units are already specified). Be careful with the metric prefixes!! Your Answer: Consider a transformer whose primary coil has ten times as many windings as the secondary coil. Which of the following statements is TRUE? The voltage across the secondary coil is higher than that across the primary coil. The voltage across the secondary coil is lower than that across the primary coil.
Answers
0.06 nJ energy is stored by a capacitor if its capacitance is 65 pF (picofarads) and the voltage across the capacitor is 18 volts.
To move 12 C of charge from point A to point B with an electrical potential difference of 3.0 V, it takes 36 J of work. The maximum magnetic flux through a loop of wire occurs when the angle between the normal to the area inside the loop is exactly perpendicular to the magnetic field vector.
The energy stored by a capacitor with a capacitance of 65 pF and a voltage of 18 V is 0.06 nJ. In a transformer with the primary coil having ten times as many windings as the secondary coil, the voltage across the secondary coil is lower than that across the primary coil.
To calculate the work required to move charge across a potential difference, we use the formula W = q * ΔV, where q is the charge and ΔV is the potential difference. Plugging in the values, we have W = 12 C * 3.0 V = 36 J.
The maximum magnetic flux through a loop of wire occurs when the angle between the normal to the area inside the loop is exactly perpendicular (90 degrees) to the magnetic field vector. At this angle, the magnetic field lines pass through the loop most effectively, maximizing the magnetic flux.
The energy stored by a capacitor is given by the formula \(E = (1/2) * C * V^2\), where C is the capacitance and V is the voltage. Plugging in the values, we have \(E = (1/2) * 65 pF * (18 V)^2\)= 0.06 nJ.
In a transformer, the voltage across the secondary coil depends on the ratio of the number of windings in the primary and secondary coils. Since the primary coil has ten times as many windings as the secondary coil, the voltage across the secondary coil is lower than that across the primary coil. This is because the transformer steps down the voltage from the primary to the secondary coil based on the winding ratio.
Learn more about magnetic flux here
https://brainly.com/question/31780504
#SPJ11
Pls help it’s really late <3
Answers
Answer:
22.4%
Explanation:
The plane is 300000 kg
It is 11000 meters about the earth's surface.
g = 9.81
PE = mgh
PE = 300000 * 9.81 * 11000
PE = 3.24* 10^10
The Kinetic Energy
KE = 1/2 m * v^2
m = 300000
v = 250 m/s
KE = 1/2 300000 * (250 m/s)^2
KE = 9.375 * 10^9
Total Energy = 3.24 * 10^10 + 9.375 * 10^9
Total Energy = 4.17 * 10^10
9.375 * 10^9
=========== * 100 % = 22.44 %
4.17 * 10^10
3.Calculate the acceleration of a 1kg toy airplane that has been thrown with a force of 20N.
Answers
Answer:
The acceleration of a 1kg toy is 20m/s^2Explanation:
We are going to use the newtons law of motion (first law) to solve this problem
The expression is F=mawhere F is the force in Newton
m is the mass in kg and
a is the acceleration in m/s^2
given data
mass of the toy m= 1kg
force with which the toy is thrown = 20N
susbtituting we have
20=1*a
a= 20m/s^2
11. In the original Ghostbusters, when asked by Dr. Peter Venkman what would happen if they crossed the streams from their proton packs, Dr. Egon Spengler responded, "It would be bad." The same thing could reasonably be said about _________ Specifically, the reason for this is due to violation of the assumption of _____________
Answers
The same thing could reasonably be said about multicollinearity. Specifically, the reason for this is due to the violation of the assumption of independent predictors.
Let us understand what these terms mean:
MulticollinearityIn statistical analysis, multicollinearity is the high correlation among predictors in a regression model. It is problematic because of its adverse effects on the model, including making it difficult to determine the effect of an independent variable, coefficients becoming insensitive to small changes in the model, and reducing the reliability of the model.
Independent PredictorsIn regression analysis, independent predictors are those variables that contribute to the prediction of the dependent variable or outcome, and their inclusion in the model improves the accuracy of the prediction of the model.
In a regression model, it is an assumption that predictors are independent, which means that the predictors have little to no correlation with each other. If this assumption is violated, it is known as multicollinearity.
Therefore, the same thing could reasonably be said about multicollinearity. Specifically, the reason for this is due to the violation of the assumption of independent predictors.
Learn more about predictors from the given link:
https://brainly.com/question/32365193
#SPJ11
What is the gravitational force that two 100 kg persons exert oneach other when standing 1m apart?
10,000 N
1 N
6.672 × 10-11 N
6.672 × 10-7 N
Answers
The gravitational force that two 100 kg persons exert on each other when standing 1 m apart is approximately 6.672 × \(10^{(-7)}\) N. Option D is the correct answer.
The gravitational force between two objects can be calculated using the formula:
F = G × (m1 × m2) / r²
Where:
F is the gravitational force
G is the gravitational constant (approximately 6.672 × \(10^{(-11)}\) N·m²/kg²)
m1 and m2 are the masses of the two objects (100 kg each in this case)
r is the distance between the centers of the two objects (1 m in this case)
Plugging in the values, we get:
F = (6.672 × \(10^{(-11)}\) N·m²/kg²) × (100 kg × 100 kg) / (1 m)²
Simplifying the calculation:
F = (6.672 × \(10^{(-11)}\) N·m²/kg²) × 10,000 kg² / 1 m²
F = (6.672 × \(10^{(-11)}\) N·m²) × 10,000
F = 6.672 × \(10^{(-7)}\) N
Learn more about gravitational force at
https://brainly.com/question/29190673
#SPJ4