Answer:
1700 kg
Explanation:
Let’s use conservation of momentum
32.5 * 388 = 7.42 * mc
mc = 1699.46
mc = 1700 kg
Say the turbine is 10 feet in diameter (that's the radius of the dashed circle). Also say that the coil has 100 turns and has a square cross-section with a length of 10 feet and a height of 6 feet. Say that the magnetic rotor has the same height but is only 2 feet wide, it has a magnetic field strength is 0.1T, and it is rotating at 60Hz (note this is not the angular frequency). A typical turbine supplies 10kW of power. Use Faraday's law to find the induced emf in the coil and the amount of induced current.
Answer:
a. ε = 21,014sin(120πt) V
b. 0.476cosec(120πt)
Explanation:
a. Induced emf
We know the induced emf, ε = -dΦ/dt where Φ = magnetic flux through coil = NABcosθ where N = number of turns of coil =, 100, A = area of coil = 10 ft × 6 ft = 60 ft² = 60 × 1 ft² = 60 × (0.3048)² m² = 5.574 m², B = magnetic field strength = 0.1 T and θ = angle between B and normal to A = ωt.
So, Φ = NABcosθ = 100 × 5.574 m² × 0.1 T cosθ = 55.74cosθ Tm²
So, ε = -dΦ/dt = ε = -d(55.74cosθ Tm²)/dt = -d(55.74cosθ Tm²)/dθ × dθ/dt = -55.74 ×(-sinθ) Tm²)/dθ × ω (ω = dθ/dt = angular frequency of shaft = 2πf where f = frequency of rotor = 60 Hz )
ε = 55.74sinθ Tm²) × 2πf
ε = 55.74sinθ Tm²) × 2π(60 Hz)
ε = 6689πsinθ V
ε = 21,014sinθ V
ε = 21,014sinωt V
ε = 21,014sin(2πft) V
ε = 21,014sin(2π(60 Hz)t) V
ε = 21,014sin(120πt) V
b. Current in coil
Since power P = Iε where I = current and ε = induced emf = 21,014sinθ V.
Since power, P = 10 kW = 10000 W
I = P/ε
= 10000 W/21,014sinθ V
= 0.476/sinθ
= 0.476cosecθ
= 0.476cosecωt
= 0.476cosec(120πt)
The maximum current is obtained when θ = 90°
I = 10000 W/21,014sin90 V
I = 10000 W/21,014 V
I = 0.476 A
I = 476 mA
Please help!!! Explain the type of graph that could be used for the data below.
(Will give Brainliest) Some scientists calculated that a whale can develop 150 kW of power when it is swimming under the water surface at a constant speed 7.77 m/s. Find the resistance force of the water exerted on the whale.
The resistance force of the water exerted on the whale is 19305 Newton.
What is power?
The quantity of energy moved or converted per unit of time is known as power in physics. The watt, or one joule per second, is the unit of power in the International System of Units. Power is also referred to as activity in ancient writings. A scalar quantity is power.
Power = 150 kW = 150,000 Watt.
Constant speed = 7.77 m/s.
Now, Power = the resistance force × speed
150000 Watt = the resistance force × 7.77 m/s
Hence, the resistance force = 150000 Watt/ 7.77 m/s
= 19305 Newton.
Learn more about power here:
https://brainly.com/question/29575208
#SPJ1
A pulley system uses a flat belt of c.s.a. 4x100 mm2 and density 11x100 kg/m3. The angle of lap is 165o on the smaller wheel. The coefficient of friction is 0.39. The maximum force allowed in the belt is 637 N. Calculate the power (kW) transmitted when the belt runs at 13 m/s and centrifugal force is included.
Answer:
Note that the angle of lap is 165 degrees at the question above
So the power (kW) transmitted when the belt runs at 13 m/s and centrifugal force is included = 3.79782kW
Explanation:
Centrifugal force, Fc = pAv^2
Where p = density, A = c.s.a. v = veelocity
= 11x100 kg/m3 X 4x100 mm2 X (13 m/s)^2
= 1100 kg/m3 X 400 mm2 x 10^-6 X 169m/s
= 74.36N
P v (f - Fc) (1-e^-μθ)
The θ = (165 degrees ÷ 180 degrees) X π = 2.878 rads (π = 3.14)
So power p, = 10 (637 N - 74.36N) (1 - e^-0.39 x 2.878)
= 10 X 562.64 X 0.675
P = 3797.82 watts = 3.79782kW
A block is given an initial velocity of 3.00 m/s up a frictionless incline of angle 20 degrees. How far up the incline does the block slide
Answer:
The distance moved by the block is 1.34 m
Explanation:
Given;
initial velocity of the block, u = 3 m/s
angle of inclination, θ = 20⁰
The net horizontal force acting on the block;
∑Fx = - mgsinθ
Apply Newton's second law of motion, to determine the constant acceleration of the block.
∑Fx = ma
- mgsinθ = ma
-gsinθ = a
Apply the following Kinematic equation, to determine how far up, the block moved before coming to rest.
[tex]V_f^2 = V_i^2 + 2a(x_f -x_i)\\\\0 = V_i^2 + 2[-gsin \theta(x_f-0)]\\\\0 = V_i^2 - 2gsin \theta(x_f)\\\\ 2gsin \theta(x_f) = V_i^2\\\\x_f = \frac{V_i^2}{2gsin \theta} = \frac{(3)^2}{2 \ \times \ 9.8 \ \times \ sin(20)} = 1.34 \ m[/tex]
Therefore, the distance moved by the block is 1.34 m
Define 1ohm resistance
Answer:
1 ohm is equal to one volt (V)/ one ampere (1A) 1 Ohm is defined as the resistance of a conductor with a potential difference of 1 volt applied to the ends through which 1-ampere current flows. Ohms is the SI unit of electrical resistance.
Explanation:
I hope it's help u
This 11.0-kg box is pulled 2.00 m to the right along the floor by applied
force
P
35.0 N at
O=
30.0
The coefficient of kinetic friction is
Mk
=
0.21. What is the magnitude of the work done by the kinetic friction
force? [Round your answer to the nearest whole number.]
ө
E
FR
Вk
Answer:
fffcdcffffdxxfxxtdyfycycycycy
from
Which energy transformation is correct?
O From A to C, kinetic energy is transformed into
gravitational potential energy.
O From C to D, kinetic energy is transformed into
gravitational potential energy.
O From C to E, gravitational potential energy is
transformed into kinetic energy.
O From D to E, gravitational potential energy is
transformed into kinetic energy.
B. The energy transformation that is correct is From C to D, kinetic energy is transformed into gravitational potential energy.
What is law of conservation of energy?The law of conservation of energy states that energy can neither be created nor destroyed but can be transformed from one form to another.
Energy transformation in the pendulum;
At point A, there's only gravitational potential energy and no kinetic energy, because the pendulum is at rest at A. At point C, it has maximum speed since all of the potential energy is transformed into kinetic energy. Therefore, at this point there is only kinetic energy and no potential energy.At point E, it is the same as at point A, but in opposite side. So, at this point there is no kinetic energy.At points B and D there are both kinetic and potential energy. At point B the kinetic energy is increasing and at point D it is decreasing.Thus, the energy transformation that is correct is From C to D, kinetic energy is transformed into gravitational potential energy.
option B is the correct answer.
Learn more about energy transformation here: https://brainly.com/question/2667612
#SPJ1
Answer:
B is Correct
Explanation:
From C to D, kinetic energy is transformed into gravitational potential energy.
the sun transfers heat to earth through ___ this method of heat transfer is evidence that ___ is not necessary for heat to move from place to place
Answer:
electromagnetic waves, physical contact
Explanation:
The sun transfers heat to earth through electromagnetic radiation. This method of heat transfer is evidence that direct contact is not necessary for heat to move from place to place.
What is meant by heat transfer ?Heat transfer is defined as the flow of heat or thermal energy from one point to another due to the temperature difference between the two points.
Here,
Due to the temperature difference between, heat transfer occurs between two points through various methods such as conduction, convection and radiation.
Conduction is the process of heat transfer through which heat is transferred between two objects that are in direct contact with each other. It can occur in solids, liquids and gases.
Convection is the process of heat transfer through which the heat is transferred by the movement of fluids. Air and water currents are the examples for it.
Radiation is the process of heat transfer in which the heat is transferred in the form of electromagnetic waves.
The heat energy from the sun reaches the earth through the phenomenon called electromagnetic radiation. Mainly infrared radiations carry the heat towards earth.
Unlike conduction and convection, radiation does not require any matter to transfer the heat energy.
Hence,
The sun transfers heat to earth through electromagnetic radiation. This method of heat transfer is evidence that direct contact is not necessary for heat to move from place to place.
To learn more about heat transfer, click:
https://brainly.com/question/16951521
#SPJ7
Wha is the definition of health?
A student rubs a rubber balloon on their hair for several seconds. The student then rubs a second rubber balloon on her hair for the same length of time. The student determines that the first rubber balloon is repelled by the second rubber balloon, but the first rubber balloon is attracted to her hair. Which of the following claims, with appropriate evidence, if any, supports the notion of the two- charge model? Justify your selection.
A. The first rubber balloon is repelled by the second rubber balloon, but the first rubber balloon is attracted to the hair. These results show that two charges must exist because certain combinations of charges attract and certain combinations of charges repel.
B. The first rubber balloon is repelled by the second rubber balloon. This result shows that the charge of both objects must have the same sign.
C. The first rubber balloon is attracted to the hair. This result shows that the charge of both objects must be opposite in sign.
D. None of the claims nor evidence support the notion of the two-charge model.
Answer:
Option A
Explanation:
In this experiment, when balloon is rubbed on the chair electrons are transferred from the hair to the surface of the balloon thereby making balloon negatively charged and hair positively charged. When two negatively charged balloon are brought close to each other, they repel while when balloon is brought closer to the hair, they attract each other
Hence, option A is correct
FAST PLEASE!
In Which reaction are the atoms of elements rearranged?
WILL GIVE BRAINLIEST
A. Two isotopes of hydrogen fuse to form helium.
B. Methane gas combines with oxygen to form carbon dioxide and
water.
C. Plutonium-240 breaks apart into xenon, zirconium, and three
neutrons.
D. Uranium-235 breaks apart into krypton, barium, and three
neutrons.
Answer:
B) methane gas
Explanation:
A p e x
100 g of Ice at -10°C is added into a
liquid juice at 20°c . The temperature of Juice
dropped to l0°c after all the Ice has melted.
Calculate the mass of the Juice responsible
for metting an Ice
Answer:
The mass of the juice responsible for melting the ice is 949.043 grams.
Explanation:
By the First Law of Thermodynamics, we understand that juice releases heat to the ice, which turns into water under the assumption that interactions between the ice-juice system and surroundings are negligible and energy processes are done in steady-state. Since juice is done with water, its specific heat will be taken as of the water. The process is described by the following formula:
[tex]m_{i} \cdot [c_{i}\cdot (T_{1}-T_{2}) - L_{f} + c_{w}\cdot (T_{2}-T_{3})] + m_{w} \cdot c_{w}\cdot (T_{4}-T_{3}) = 0[/tex] (1)
Where:
[tex]m_{i}[/tex] - Mass of ice, in grams.
[tex]m_{w}[/tex] - Mass of the juice, in grams.
[tex]c_{i}[/tex] - Specific heat of ice, in joules per gram-degree Celsius.
[tex]c_{w}[/tex] - Specific heat of water, in joules per gram-degree Celsius.
[tex]L_{f}[/tex] - Latent heat of fusion, in joules per gram.
[tex]T_{1}[/tex] - Initial temperature of ice, in degrees Celsius.
[tex]T_{2}[/tex] - Melting point of water, in degrees Celsius.
[tex]T_{3}[/tex] - Final temperature of the ice-juice system, in degrees Celsius.
[tex]T_{4}[/tex] - Initial temperature of the juice, in degrees Celsius.
If we know that [tex]m_{i} = 100\,g[/tex], [tex]c_{i} = 2.090\,\frac{J}{g\cdot ^{\circ}C}[/tex], [tex]c_{w} = 4.18\,\frac{J}{g\cdot ^{\circ}C}[/tex], [tex]L_{f} = 334\,\frac{J}{g}[/tex], [tex]T_{1} = -10\,^{\circ}C[/tex], [tex]T_{2} = 0\,^{\circ}C[/tex], [tex]T_{3} = 10\,^{\circ}C[/tex] and [tex]T_{4} = 20\,^{\circ}C[/tex], then the mass of the juice is:
[tex]m_{w} = \frac{m_{i}\cdot [c_{i}\cdot (T_{1}-T_{2}) - L_{f} + c_{w}\cdot (T_{2}-T_{3})]}{c_{w} \cdot (T_{3}-T_{4})}[/tex]
[tex]m_{w} = \frac{(100\,g)\cdot \left[\left(2.090\,\frac{J}{g\cdot ^{\circ}C} \right)\cdot (-10\,^{\circ}C) - 334\,\frac{J}{g} +\left(4.18\,\frac{J}{g\cdot ^{\circ}C} \right)\cdot (-10\,^{\circ}C) \right]}{\left(4.180\,\frac{J}{g\cdot ^{\circ}C} \right)\cdot (-10\,^{\circ}C)}[/tex]
[tex]m_{w} = 949.043\,g[/tex]
The mass of the juice responsible for melting the ice is 949.043 grams.
True or False all elements emitt the same amount of light?
1 point
A.True
B.False
Which of these uses the force of gravity to make it move?
OA
A sailboat moving across a lake
ОВ:
A car making a right turn
ОС:
A snow sled going downhill
OD
A bicycle rolling to a stop
Plz somebody help this is a test
Answer:
C: A snow sled going down hill
Facts about ecstasy
Consider a loop of wire with a resistor. In the same plane, (with switch S closed) a long wire has a current I flowing from left to right. R I S If switch S is closed for a long period of time, and then suddenly opened, what is the direction of the induced current through R as the current I rapidly decreases
Solution :
The given figure is a loop of a wire with a resistor.
When the switch S is closed for long time and is suddenly opened, the direction of the induced current can be find out by using the rule of right hand screw. According to the right hand screw rule, the direction of the magnetic field at the loop is in the direction that points outwards. The strength of the current rapidly decreases as it is switch off and the magnetic flux that is linked with the loop wire will also decrease.
According to the Lenz's law, the direction of the induced current must be such [tex]$\text{that it opposes}$[/tex] the decrease in the magnetic flux. It means the direction of the magnetic field must be outwards and also normal to the plane of the screen. The direction of the induced anti clockwise or from right to left in the resistance.
Why does a transformer require alternating volt age?
1. Alternating voltage leads to electromagnetic induction which is necessary for the transformer to work.
2. Due to economic reasons; alternating voltage is cheaper to produce.
3. If we apply a constant. voltage to the primary coil, it will burn out due to short circuit.
4. No specific reason; the constant voltage would work just as well.
5. The magnetic field produced by the primary coil can reach the secondary coil more easily.
6. Energy can be transferred more efficiently if alternating voltage is used.
Answer:
Alternating voltage leads to electromagnetic induction which is necessary for the transformer to work.
Explanation:
According to Oxford dictionary; an alternating current is "an electric current that reverses its direction many times a second at regular intervals".
A transformer works on the principle of electromagnetic induction. A transformer requires an alternating current which can create a changing magnetic field leading to induced voltage in the coil.
Hence, a transformer requires alternating voltage because alternating voltage leads to electromagnetic induction which is necessary for the transformer to work.
A radio station broadcasts with a carrier frequency of 920 kHz. What is the wavelength of the radio waves?
a. 276 m
b. 175 m
c. 22.6 m
d. 326 m
e. 226 m
Answer: 326m
Explanation:
To find the the wavelength of the radio waves, we can use the equation:
Wavelength = c/f
where,
c = 3 × 10^8 m/s
f = 920 × 10^3 kHz
Wavelength = 3 × 10^8 / 920 × 10³
Wavelength = 326.08696
Wavelength = 326m
If an object is placed 10cm in front of a converging lens that has a focal length of 15cm. What are the properties of the image?
Answer:
Enlarged [Size]
Virtual and Erect [Nature]
On the same side of the lens as the object [Position]
Explanation:
Will give brainliest! 50 points!!!
When the polarity of a moving magnet through a coil doubles the electromagnetic field _________.
A. Increases
B. Decreases
C. Stays the same
Answer:
A. Increases
Explanation:
Mark as Brainliest
In a photoelectric effect experiment you illuminate a metal with light of an unknown wavelength and measure the maximum kinetic energy of the photoelectrons to be 0.75 eV. Then you illuminate the same metal with light of a wavelength known to be 2/3 of the first wavelength and measure a maximum kinetic energy of 1.8 eV for the photoelectrons.
Required:
a. Find the first wavelength, in nanometers
b. Find the metals work function, in electron volts
Answer:
A.) 1658 nm
B.) 1.05 ev
Explanation:
Given that in a photoelectric effect experiment you illuminate a metal with light of an unknown wavelength and measure the maximum kinetic energy of the photoelectrons to be 0.75 eV. Then you illuminate the same metal with light of a wavelength known to be 2/3 of the first wavelength and measure a maximum kinetic energy of 1.8 eV for the photoelectrons.Required:
a. Find the first wavelength, in nanometers
The formula to use is:
E = hf
Where f = c/ wavelength.
C = speed of light.
Convert the electron volts to Joule.
0.75 × 1.6 × 10^-19 = 1.2 × 10^-19 J
Substitute the values into the formula
1.2 × 10^-19 = (6.63 × 10^-34 × 3 × 10^8) ÷ wavelength
Wavelength = (6.63×10^-34 × 3×10^8) ÷ 1.2×10^-19
Wavelength = 1.6575 × 10^-6 m
Therefore, the wavelength of the first light in nanometers will be
Wavelength = 1658 nm
b. Find the metals work function, in electron volts
The metal works function will be:
WF = 1.8 - 0.75 = 1.05 eV
Which force binds the nucleus together despite the fact there are protons in close proximity to each other?
A.weak nuclear
B
strong nuclear
C
gravitational
D
electromagnetic
Answer:
The correct answer is B. Strong Nuclear.
Explanation:
An atom contains protons, neutrons, and electrons. The nucleus of an atom consists of bound protons and neutrons (nucleons). The negatively charged electrons are attracted to the positively charged protons and fall around the nucleus, much like a satellite is attracted to the gravity of the Earth. The positively-charged protons repel each other and aren't electrically attracted or repelled to the neutral neutrons, so you may wonder how the atomic nucleus sticks together and why protons don't fly off.
The explanation for why protons and neutrons stick together is known as "the strong force." The strong force is also known as the strong interaction, color force, or strong nuclear force. The strong force is much more powerful than the electrical repulsion between protons, however, the particles have to be close to each other for it to stick them together.
HELPPP 40 POINTS!!!! Mr. Tedesco has two metal cubes, one made of
tin and the other made of silver. He heats the tin
cube to 80°C and places the silver one in the
freezer until it reaches 5°C. He places the cubes
in a beaker containing water at 20°C. The cubes
do not touch. Which best describes how heat
will flow in the system?
Answer: Heat energy is transferred from warmer objects to cooler objects.
Explanation:
You have just landed your first job as a structural engineer and you have been asked to design a regional airport for small planes. Your manager informs you that the planes that will use this runaway must reach a speed before takeoff of at least 28.1 m/s, and can accelerate at 2 m/s2. What is the minimum length your runaway must have to facilitate a safe take off
Answer: [tex]197.40\ m[/tex]
Explanation:
Given
final velocity at takeoff [tex]v=28.1\ m/s[/tex]
Acceleration of the plane can be [tex]a=2\ m/s^2[/tex]
Initial velocity is zero for the plane i.e. [tex]u=0[/tex]
Using the equation of motion
[tex]\Rightarrow v^2-u^2=2as\quad [\text{s=displacement}]\\\text{Insert the values}\\\Rightarrow (28.1)^2-0=2\times 2\times s\\\\\Rightarrow s=\dfrac{789.61}{4}\\\\\Rightarrow s=197.40\ m[/tex]
Thu,s the minimum length must be [tex]197.40\ m[/tex]
A cylindrical space colony 8.00 km in diameter and 30.0 km long has been proposed as living quarters for future space explorers. Such a habitat would have cities, land, and lakes on the inside surface and air and clouds in the center. All this would be held in place by the rotation of the cylinder about the long axis. How fast would such a cylinder have to rotate to produce a 1-g gravitational field at the walls of the cylinder
Answer:
ω = 0.05 rad/s
Explanation:
In order to produce the acceleration equal to the acceleration due to gravity at the surface of Earth, the centripetal acceleration must be equal to the value of g:
[tex]a_c = g\\g = \frac{v^2}{r}\\\\but,\ v=r\omega\\therefore,\\\\g = \omega^2r\\\\\omega = \sqrt{\frac{g}{r}}[/tex]
where,
ω = angular speed = ?
g = acceleration due to gravity on the surface of the Earth = 9.81 m/s²
r = radius of cylinder = 8 km/2 = 4 km = 4000 m
Therefore,
[tex]\omega = \sqrt{\frac{9.81\ m/s^2}{4000\ m}}[/tex]
ω = 0.05 rad/s
Determine the impulse required to stop a 0.145-kg baseball moving at 35.7 m/s (80.0 mi/hr)
Answer:
Impulse = -5.177 Ns
Explanation:
Given the following data;
Mass = 0.145-kg
Velocity = 35.7 m/s
To find the Impulse to stop the baseball;
Now, we would find the change in velocity.
[tex] Change \; in \; velocity = final \; velocity - initial \; velocity [/tex]
Substituting into the equation above;
Change in velocity = 0 - 35.7 = -35.7m/s
[tex] Impulse \; of \; force = mass * change \; in \; velocity [/tex]
Substituting into the formula, we have;
Impulse = 0.145 * -35.7
Impulse = -5.177 Ns
Nite: Since it's working to stop the ball, it would be negative.
The picture shows an investigation conducted by Galileo many years ago. He learned that the speed of each ball increased as it fell, and that the balls fell at the same average speed. image Which of these statements is best supported by Galileo’s investigation?
Answer:
Italian astronomer Galileo Galilei provided a number of scientific insights that laid the foundation for future scientists. His investigation of the laws of motion and improvements on the telescope helped further the understanding of the world and universe around him.Nov 14, 2017
Explanation:
What is the total amount of force needed to keep a 6.0 kg object moving at speed
of 5.0 m/s? (F=ma)
A. 30 N
B. 60 N
C.ON
D. 10 N
A proton traveling due north enters a region that contains both a magnetic field and an electric field. The electric field lines point due west. It is observed that the proton continues to travel in a straight line due north. In which direction must the magnetic field lines point
Answer:
upward
Explanation:
In the electromagnetic system of force if the direction of motion of proton does not changes it means that the electric and magnetic forces are such a ways that they are cancelling each other's effect.
Since, electric field lines will exert a force on the proton to the west, hence, the magnetic force must force it to the east. It is well known that magnetic force acts perpendicular to the direction of magnetic field. magnetic field should point upward direction.