Answer:
Like a galvanometer, an electric motor contains (a switch, an electromagnet) that is free to rotate between the poles of a permanent, fixed magnet. 9.
c) A steel ring of radius 444mm is to be slipped on to a brass wheel of radius 450mm. To what maximum temperature
should the steel ring be heated to enable fitting? What will be the stresses in the materials on cooling if the cross-
sectional dimension of the steel ring is 20mm x 5mm and that of the brass wheel is 20mm x 40mm? (E for steel is
200GPa, E for brass is 95GPa and coefficient of expansion for steel is 12 x 10-6/°C (12 Marks)
&
10cm=16m
According to the information, the steel ring should be heated to a maximum temperature of approximately 50.67°C to enable fitting; and the stresses in the materials on cooling will be approximately 17.04 MPa in the steel ring and 2.11 MPa in the brass wheel.
How to calculate the linear thermal expansion?To enable fitting, the steel ring needs to expand in size so that its inner diameter matches the outer diameter of the brass wheel. We can use the formula for linear thermal expansion:
ΔL = α * L0 * ΔTWhere ΔL is the change in length, α is the coefficient of linear expansion, L0 is the initial length, and ΔT is the change in temperature. By substituting the given values and solving for ΔT, we find that the steel ring needs to be heated to a maximum temperature of approximately 50.67°C.
How to calculate the stress in the materials?The stresses in the materials can be calculated using the formula:
Stress = (Force / Area)Since the dimensions of the cross-sections are given, we can calculate the areas of the steel ring and brass wheel. The force can be calculated using the equation:
Force = Young's modulus * Change in length / Initial lengthBy substituting the given values for Young's modulus, change in length, and initial length, we can calculate the forces in both materials. Finally, by dividing the forces by their respective areas, we can determine the stresses in the steel ring and brass wheel, which are approximately 17.04 MPa and 2.11 MPa, respectively.
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The current source has an EMF of 14 V and an internal resistance of 1Ω. Two resistors with resistances of 3Ω are connected to the current source. How much current flows in the circuit?
Answer:
Explanation:
To find the current flowing in the circuit, we can use Ohm's Law and Kirchhoff's circuit laws.
Ohm's Law states that the current (I) flowing through a circuit is equal to the voltage (V) divided by the resistance (R):
I = V / R
In this case, the voltage (V) is the electromotive force (EMF) of the current source, which is 14 V. The total resistance (R) in the circuit is the sum of the internal resistance (r) and the resistances of the two resistors (R1 and R2):
R = r + R1 + R2
Given that the internal resistance (r) is 1Ω and each resistor (R1 and R2) has a resistance of 3Ω, we can substitute these values into the equation:
R = 1Ω + 3Ω + 3Ω = 7Ω
Now we can calculate the current (I):
I = V / R = 14 V / 7Ω = 2 A
Therefore, the current flowing in the circuit is 2 Amperes.
Monochromatic light is incident on (and perpendicular to) two slits separated by 0.200 mm, which causes an interference pattern on a screen 613 cm away. The light has a wavelength of 656.3 nm. (a) What is the fraction of the maximum intensity at a distance of 0.600 cm from the central maximum of the interference pattern
Answer:
I = 0.636*Imax
Explanation:
(a) To find the fraction of the maximum intensity at a distance y from the central maximum you use the following formula:
\(I=I_{max}cos^2(\frac{\pi d}{\lambda L}y)\) (1)
I: intensity of light
Imax: maximum intensity of light
d: separation between slits = 0.200mm = 0.200 *10^-3 m
L: distance from the screen = 613cm = 0.613 m
y: distance to the central peak of the interference pattern
λ: wavelength of light = 656.3 nm = 656.3 *10^-9 m
You replace the values of all variables in the equation (1):
\(I=I_{max}cos^2(\frac{\pi (0.200*10^{-3}m)}{(656.3*10^{-9}m)(0.613m)}0.600m)\\\\I=I_{max}cos^2(937.06)=0.636I_{max}\)
Hence, the fraction of the maximum intensity is I = 0.636*Imax
Which lists three organic biological molecules?
O carbohydrates, salts, metals
O salts, proteins, minerals,
O proteins, lipids, carbohydrates
O lipids, metals, minerals
Answer:
B
Explanation:
I'm learning it in science.
Answer:
its not b i just took the test and b was wrong
Explanation:
Question 15 of 32
A bungee jumper jumps off a bridge and bounces up and down several times.
She finally comes to rest 30 m below the bridge from which she just jumped.
If her mass is 50 kg and the spring constant of the bungee cord is 10 N/m,
how much energy was lost due to air resistance while she was bouncing?
(Recall that g = 9.8 m/s²)
A. 7330 N
B. 9200 N
C. 10,200 N
D. 8605 N
C. 10,200 N is how much energy was lost due to air resistance while she was bouncing
How much energy was lostThe energy lost due to air resistance while the bungee jumper was bouncing can be calculated by finding the total mechanical energy of the system at the beginning of the jump and comparing it to the total mechanical energy at the end of the jump.
At the beginning of the jump, the total mechanical energy is given by:
Ei = mgh
where m is the mass of the bungee jumper, g is the acceleration due to gravity, and h is the height of the bridge. Therefore, at the beginning of the jump:
50 x 30 x 10 - 1/2 x 30^2 x 10
= 15000 - 4500
= 10,200 N
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With what speed must a ball be thrown vertically from ground level to rise to a maximum height of 41 m
Answer:
The speed must a ball be thrown vertically from ground level to rise to a maximum height is 28.35 m/s.
Explanation:
Given;
maximum vertical height of the throw, H = 41 m
Apply the following kinematic equation;
V² = U² + 2gH
where;
V is the final speed with which the ball will rise to a maximum height
U is the initial speed of the ball = 0
g is acceleration due to gravity = 0
V² = U² + 2gH
V² = 0² + 2gH
V² = 2gH
V = √2gH
V = √(2 x 9.8 x 41)
V = 28.35 m/s
Therefore, the speed must a ball be thrown vertically from ground level to rise to a maximum height is 28.35 m/s.
A ball is dropped from rest. If the Total energy at point 1 is 20 Joules, how much energy will there be at Point 3? Assume there is no air resistance
Work and Kinetic Energy and Potential Energy and Conservation of Energy. The usefulness of those definitions is the ease with which we can solve many problems using conservation of energy.
What is Potential energy?Potential energy is particularly useful for forces that change with position, as the gravitational force does over large distances. In Potential Energy and Conservation of Energy.
This works very well if g does not change significantly between. We return to the definition of work and potential energy to derive an expression that is correct over larger distances.
Work is the integral of the dot product between force and distance. Essentially, it is the product of the component of a force along a displacement times that displacement.
Therefore, Work and Kinetic Energy and Potential Energy and Conservation of Energy. The usefulness of those definitions is the ease with which we can solve many problems using conservation of energy.
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Water flows at a speed of 13 m/s through a pipe that has a diameter of 1.2 m. What is the
diameter of the smaller end of the pipe that the water comes out with a speed of 30 m/s?
The diameter of the smaller end of the pipe is approximately 0.78 meters.
To determine the diameter of the smaller end of the pipe, we can use the principle of conservation of mass. According to this principle, the mass flow rate of water should remain constant throughout the pipe.
The mass flow rate is given by the equation:
Mass flow rate = density of water * cross-sectional area * velocity
Since the density of the water remains constant, we can write:
Cross-sectional area1 * velocity1 = Cross-sectional area2 * velocity2
Given that the velocity1 is 13 m/s, the diameter1 is 1.2 m, and the velocity2 is 30 m/s, we can solve for the diameter2 using the equation:
(pi * (diameter1/2)^2) * velocity1 = (pi * (diameter2/2)^2) * velocity2
Simplifying the equation:
(1.2/2)^2 * 13 = (diameter2/2)^2 * 30
Calculating the equation:
(0.6)^2 * 13 = (diameter2/2)^2 * 30
0.36 * 13 = (diameter2/2)^2 * 30
4.68 = (diameter2/2)^2 * 30
Dividing both sides by 30:
0.156 = (diameter2/2)^2
Taking the square root of both sides:
0.39 = diameter2/2
Multiplying both sides by 2:
0.78 = diameter2
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A 43 kg object is hanging from a rope. If it has the potential to do 3160 J of work, how high is it above the ground?
How can a current loop be used to determine the presence of a magnetic field in a given region of space
Mary throws a baseball straight upward. We can ignore air resistance.
Answer:
Acceleration Remains Constant and Velocity decreases.
Explanation:
What is the net force net
on an airplane window of area 1800 cm2
if the pressure inside the cabin is 0.95 atm
and the pressure outside is 0.76 atm
?
The net force on the airplane window of area 1800 cm² is 3469.47 Pa.m² .
Given:
Pressure inside the cabin: 0.95 atm
Pressure outside the cabin: 0.76 atm
Area of the airplane window: 1800 cm²
Now to find the net force on the airplane window, we can calculate the pressure difference between the inside and outside of the cabin and to calculate the pressure difference, we subtract the outside pressure from the inside pressure.
Pressure Difference = Pressure inside - Pressure outside
Pressure Difference = 0.95 atm - 0.76 atm
Pressure Difference = 0.19 atm
The area of the airplane window is given as 1800 cm². To simplify calculations in SI unit we convert the area to square meters:
Area in m² = (Area in cm²) / 10,000
Area in m² = 1800 cm² / 10,000
Area in m² = 0.18 m²
As we know,
Net Force = Pressure Difference * Area
Net Force = 0.19 atm * 0.18 m²
Net Force = 0.0342 atm·m²
To convert the net force to pascals (Pa), we use 1 atm = 101325 Pa. Multiplying the net force by 101325 Pa, we get
Net Force = 3469.47 Pa·m²
Therefore, the net force on the airplane window is approximately 3469.47 pascals times square meters (Pa.m²).
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https://brainly.com/question/14361879identify and explain the climate cycle shown
below. Illustrate how conditions change during
the summer
Answer:
wnd change
Explanation: wnd chsnge
A racing car on the straight accelerates from 100 km/h to 316 km/h in three seconds.
What is its acceleration?
40m/s2
30m/s2
20m/s2
72m/s2
Answer:
\(20m/s^2\)
Explanation:
Solution is attached. I apologize if it is a little messy.
find the rms speed of a sample of oxygen at 30° C and having a molar mass of 16 g/mol.
At 30°C, the rms speed of a sample of oxygen with a molar mass of 16 g/mol is approximately 482.34 m/s.
The root mean square (rms) speed of a gas molecule is a measure of the average speed of the gas particles in a sample. It can be calculated using the formula:
vrms = √(3kT/m)
Where:
vrms is the rms speed
k is the Boltzmann constant (1.38 x 10^-23 J/K)
T is the temperature in Kelvin
m is the molar mass of the gas in kilograms
To calculate the rms speed of oxygen at 30°C (303 Kelvin) with a molar mass of 16 g/mol, we need to convert the molar mass to kilograms by dividing it by 1000:
m = 16 g/mol = 0.016 kg/mol
Substituting the values into the formula, we have:
vrms = √((3 * 1.38 x 10^-23 J/K * 303 K) / (0.016 kg/mol))
Calculating this expression yields the rms speed of the oxygen sample:
vrms ≈ 482.34 m/s
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Un autobús en una autopista lleva una magnitud de la velocidad de 95 km/h, el conductor observa que debido a un derrumbe la carretera está cerrada, en ese instante acciona los frenos, deteniendo el autobús después de recorrer 60 m. a) ¿Cuál es el valor de la aceleración en el autobús?
Answer:
La aceleración del autobús es -5.80 m/s².
Explanation:
Podemos encontrar la aceleración del autobús usando la siguiente ecuación:
\( v_{f}^{2} = v_{0}^{2} + 2ad \)
Where:
\(v_{f}\): es la velocidad final = 0 (se detiene al final)
\(v_{0}\): es la velocidad inicial = 95 km/h
d: es la distancia recorrida = 60 m
Por lo tanto, la aceleración es:
\( a = \frac{v_{f}^{2} - v_{0}^{2}}{2d} = \frac{0 - (95 \frac{km}{h}*\frac{1000 m}{1 km}*\frac{1 h}{3600 s})^{2}}{2*60 m} = -5.80 m/s^{2} \)
El signo negativo se debe a que el autobús está desacelerando (hasta que se detiene).
Entonces, la aceleración del autobús es -5.80 m/s².
Espero que te sea de utilidad!
what aspect of the US justice system has its roots in Jewish scripture?
The aspect of the US justice system that has its roots in Jewish scripture is:
the idea that all people are subject to the same rules and laws.
It is the doctrine of "equality before the law." Equality before the law means that every individual is equal in the eyes of the law, whether the individual is a lawmaker, a judge, a law enforcement officer, etc. Equality before the law is also known as equality under the law, equality in the eyes of the law, legal equality, or legal egalitarianism. It is a legal principle that treats each independent being equally and subjects each to the same laws of justice and due process.
Answer:
answer is C
the idea that all people are subject to the same rules and laws
Explanation:
hope this helps!
Sophia pushes with a 40-N horizontal force on a 4.0-kg box resting on a lab bench. The box slides against a horizontal friction force of 24 N. show that the box acceleration at 4.0 m/s2
Answer:
a = 4.0 m / s², so the result of the exercise is correct
Explanation:
This is an exercise on Newton's Second Law
F = m a
we create a reference system with the horizontal x axis and the vertical y axis
Axis y
N -W = 0
X axis
F -fr = m a
give us the applied force F = 40 N, the value of the friction outside fr = 24 N
a = (F - fr) / m
let's calculate
a = (40 - 24) / 4
a = 4.0 m / s²
so the result of the exercise is correct
A cross country skier moves 32 m north, then 65 m south, and finally 16 m north. What is the distance? What is the displacement ?
The distance and Displacement travelled by skier is 17m and 16 m
What is Distance and Displacement?Distance is the length of the actual path taken by object.
Displacement is the shortest distance between the initial and final position.
The SI unit of both distance and displacements is meter (m).
In this case,
Distance = 32m - 65m + 16 m
= 17 m
Here ,
Displacement = Initial position - Final position
= 32m -16m = 16m
Hence , The distance and displacement of the skier are 17m and 16m.
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A bald eagle is flying to the left with a speed of 34 meters
per second when a gust of wind blows back against the
eagle causing it to slow down with a constant acceleration
of a magnitude 8 meters per second squared.
What will the speed of the bald eagle be after the wind has
blown for 3 seconds?
Answer:
the speed after 3 seconds is 10 m/s
Explanation:
The computation of the speed is shown below:
As we know that
V = U + at
Here,
U = 34 m/s
a = - 8 m/s²
t = 3 Sec
V = velocity after 3 sec
V = 34 + (-8)3
= 34 - 24
V = 10 m/s
Hence, the speed after 3 seconds is 10 m/s
Can someone please explain why the answer to this net torque question is +115 Nm
Answer:
Net torque in positive direction:
Fz = -450 * cos 30 deg * 1.5 = -585 N-M
Fz = 200 * 3.5 = 700 N-M
Net F = 115 N-M
Torque is generally defined as L = R X F
X cross Y = Z normal coordinate system
Note that Z will be out of the page giving the positive value for the torque.
Revision. Explain why a gap of a few cm should be left above the water surface when filling a cold car radiator.
Car's radiator is in charge of regulating the engine's temperature. By moving heat away from the engine, it accomplishes this by continuously moving coolant throughout the system and thermostat.
Thus, Air blowing over the radiator then chills the coolant. Only when the engine is turned off will the car radiator be cold.
The radiator will warm up as the coolant flows through it while the engine is operating. This explains why the radiator in your automobile is cold when the engine is off yet warm when it is on.
Keep in mind that the radiator is merely one component of the cooling system. The thermostat, water pump, and other parts are included in the cooling system.
Thus, Car's radiator is in charge of regulating the engine's temperature. By moving heat away from the engine, it accomplishes this by continuously moving coolant throughout the system and thermostat.
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Angle R in the picture below is the angle of...
The angle I can rightly be called the angle of reflection.
What is the law of angle of reflection?The incident ray, the reflected ray, and the normal all reside on the same plane, according to the angles of reflection. This suggests that reflection may occur when two angles are in the same plane as the normal.
The angle I and depicted can appropriately be referred to as the angle of reflection in light of the aforementioned information.
Lastly, it is obvious from the image that angle I is the angle of reflection.
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Need help ASAP please help
Answer:
.....
Explanation:
The following lists the length and diameter of three copper wires. Wire A
- 5 cm long, 10 mm thick; Wire B- 10 cm long, 5 mm thick; Wire C - 15 cm
long, 1 mm thick. Which of these wires most likely has the highest
resistance? Help i’m taking a test
Answer:
Resistance is proportional to length and inversely proportional to area.
L1 = 5 cm
L2 = 10 cm
L3 = 15 cm
A1 = k * (.50 cm)^2
A2 = k * (.25 cm)^2 = 1/4 A1
A3 = k * (.05 cm)^2= 1/100 A1
R1 = 1 * 1 = 1
R2 = 2 * 4 = 8 R1
R3 = 3 * 100 = 300 R1
R3 has greatest resistance
The net force acting on Mrs. Cosce 1,500 kg car is 12,000 N. What is the acceration of her car?
Answer: 8.0 m/s2
Explanation:
F = ma
a = F/m
F = 12,000 N
m = 1,500 kg
a = 12,000 N / 1,500 kg = 8.0 m/s2
what is the q value for the reaction 9be + α → 12c + n
The Q value for the reaction 9be + α → 12c + n is 4.68 Mev. The amount of energy absorbed or released during a nuclear reaction is known as the Q value for that reaction.
It is a measurement parameter by which we can describe it is exothermic or endothermic. If Q value is -ve then endothermic if +ve then exothermic
\(Q_{value}=(m_{r}- m_{p})931 .5~MeV\)
where
\(m_{p} = sum ~of ~masses~ of~ products\\\\m_{r}= sum ~of~ masses~ of ~reactants\)
Mass of reactants = Mass of Be + Mass of He
=9.0121+4.0015
= 13.0136 u
Mass of products = Mass of C + Mass of H
= 12+1.0086
=13.0086 u
Q={(13.0136)-(13.0086)(931.5}
Q=4.68 MeV
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two faer coin and unbayers
dice are thrown together list the
Sample space
determine the probabilities that
A head and even number
A prime number and atleast a tail
A 5.0 kg block with a speed of 3.0 m/s collides with a 10
kg block that has a speed of 2.0 m/s in the same direction.After the
collision, the 10 kg block travels in the original direction with a
speed of 2.5 m/s. (a) What is the velocity of the 5.0 kg block immediately after the collision? (b) By how much does the total kinetic
energy of the system of two blocks change because of the collision? (c) Suppose, instead, that the 10 kg block ends up with a
speed of 4.0 m/s. What then is the change in the total kinetic energy? (d) Account for the result you obtained in
(a) The first block moves at 4.0 m/s in the same direction right after colliding.
(b) the system's total kinetic energy changes by 28.75 J
(c) the system's total kinetic energy changes by -1.25 J
Given;
First block's mass, m1, is 5 kg.
u1 = 3.0 m/s is the first block's starting speed.
m2 weight of the second block is 10.0 kg.
u2 = 2.0 m/s is the second block's initial speed.
v2 = 2.5 m/s is the second block's final speed.
Immediately following the impact, the first block block's Part (A) velocity is as follows:
Apply the law of conservation of linear momentum: m1u1 + m2u2 = m1v1 + m2v2, where v1 is the speed of the first block after it collides.
(5 x 3.0) + (10 x 2.0) = 5.0v₁ + (10 x 2.5) (10 x 2.5)
35= 2.5v₁ + 25
2.5v₁ = 35-25
2.5v₁ = 10
v₁ = 10/2.5
v₁ = 4
2.5 m/s in the same direction for v1.
Change in the system's overall kinetic energy, part (B):
Final kinetic energy minus beginning kinetic energy equals the change in kinetic energy.
ΔK = (1/2m1v1^2 + 1/2m2v2^2) - (1/2m1u1^2 + 1/2m2u2^2)
ΔK is equal to (1/2 x 5 x 4^2 + 1/2 x 10 x 2.5^2) – (1/2 x 5 x 3^2 + 1/2 x 10 x 2^2).
ΔK = 71.25 J - 42.5 J
ΔK = 28.75 J
Change in part (C) of the system's total kinetic energy if the second block accelerates to 5.2 m/s
Determine the final speed of the first block using the conservation of linear momentum: m1u1 + m2u2 = m1v1 + m2v2 (5 x 3.0) + (10 x 2.0) = 5v1 + (10 x 4)
35 = 2.5v₁ + 40
2.5v₁ = -5
2.5v₁ = - 5 v₁ = - 5 / 2.5 \s v₁ = -2 m/s
Final kinetic energy minus beginning kinetic energy equals the change in kinetic energy.
K = (1/2m1v12 + 1/2m2v22) - (1/2m1u12 + 1/2m2u22)
K is equal to (1/2 x 5 x 22 + 1/2 x 10 x 2.52) - (1/2 x 5 x 3 + 1/2 x 10 x 2).
ΔK = 41.25 - 42.5 J
ΔK = -1.25 J
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"Part B? Question
The total resistance in a circuit with two parallel resistors is 2 ohms and $R_1$ is 6 ohms. Using the equation for R₂, in terms of Rt and R₁, what is R₂ ?
R₂ is ohms."
The value of R₂, given that the total resistance in a circuit with two parallel resistor is 2 ohms, is 3 ohms
How do I determine the value of R₂?The formula to obtain the total resistance in a parallel connection for two resistors is given as folllow:
Rₜ = (R₁ × R₂) / (R₁ + R₂)
With the above formula, we can obtain the value of R₂. Details below:
Total resistance (Rₜ) = 2 ohmsResistor 1 (R₁) = 6 ohms Resistor 2 (R₂) = ?Rₜ = (R₁ × R₂) / (R₁ + R₂)
2 = (6 × R₂) / (6 + R₂)
2 = 6R₂ / (6 + R₂)
Cross multiply
2 × (6 + R₂) = 6R₂
Clear bracket
12 + 2R₂ = 6R₂
Collect like terms
12 = 6R₂ - 2R₂
12 = 4R₂
Divide both sides by 4
R₂ = 12 / 4
R₂ = 3 ohms
Thus, we can conclude that the value of R₂ is 3 ohms
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