1. Two resistors R₁ (12 ohm) and R₁ (24 ohm) are
connected in series across a 6.0 V battery
of negligible internal resistance.
I
Draw a circuit diagram (to the right) and calculate:
The total resistance of the two resistors:
The total current flowing in the circuit:
The current flowing in R₁
The current flowing in R2
The total power consumed by R₁ and R₂
||
S
Answers
To calculate the total resistance of the two resistors in series, we add them:
R_total = R₁ + R₂ = 12 ohm + 24 ohm = 36 ohm
To calculate the total current flowing in the circuit, we use Ohm's Law:
I = V / R_total = 6.0 V / 36 ohm = 0.17 A
The current flowing in R₁ is the same as the total current, since they are in series:
I₁ = 0.17 A
The current flowing in R₂ is also the same, since they are in series:
I₂ = 0.17 A
To calculate the total power consumed by R₁ and R₂, we use the formula:
P = I²R
For R₁:
P₁ = I₁²R₁ = (0.17 A)²(12 ohm) = 0.35 W
For R₂:
P₂ = I₂²R₂ = (0.17 A)²(24 ohm) = 0.71 W
The total power consumed by both resistors is:
P_total = P₁ + P₂ = 0.35 W + 0.71 W = 1.06 W
Answer:
1. The total resistance of the two resistors:
Since the resistors are connected in parallel.
Total resistance = R₁ + R2
Total resistance = 12 ohm + 24 ohm
Total resistance = 36 ohms
2. The total current flowing in the circuit:
I = V/R
where ,
I is current,V is voltage (6.0 V) and r is resistance.I = 6.0 V /36 ohm
I = 0.17 amperes
3. The current flowing in R₁
Since he two resistance R₁ and R₂ are connected in series. The current flowing through these two will be equal to the total current flowing in the circuit.
Current flowing in R₁ = 0.17 A
4. The current flowing in R2 = total current flowing in the circuit:
The current flowing in R₂ = 0.17 A.
5. The total power consumed by R₁ and R₂
power consumed by R₁
P = I²R
P = (0.17)²/12
P = 0.0289/12
P = 0.35 (approx)
Now, power consumed by R₂
P = (0.17)² × 24
P = 0.0289 × 24
P = 0.70 (approx)
Total power = power consumed by R₁ + R₂
Total power = 0.35 + 0.70
Total power consumed = 1.05 W
Related Questions
How does the frequency of a string affect its wavelength?
Answers
Answer:
As the frequency goes down, the speed goes down by the same factor, and so the wavelength doesn't change
Explanation:
3. Would you expect a system with objects that have an equal amount of positive and negative
charge to have a large amount of electric potential energy? Why or why not?
Answers
Yes, I would expect a system with objects that have an equal amount of positive and negative charge to have a large amount of electric potential energy.
Why I will expect equal positive and negative chargeThis is because the electric potential energy of a system of charges is proportional to the product of the charges and inversely proportional to the distance between them. When positive and negative charges are brought close together, the electric potential energy of the system increases because the charges are attracted to each other due to their opposite charges.
As the charges get closer together, the electric potential energy of the system increases even more, because the charges are closer to each other and their attraction is stronger.
Therefore, when there are equal amounts of positive and negative charges in a system, the electric potential energy of the system will be high because there will be many oppositely charged pairs of particles that are close together and attracting each other strongly.
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Find the induced voltage in the conductor of the Figure below where B = 0.04 ay Tan
U = 2.5 sin 103t az m/s.
Answers
The induced e.m.f is -0.02sin(10^3t) (V) which is option D
What is Induced Voltage?Induced voltage refers to the electrical voltage that is generated in a conductor or coil due to a changing magnetic field.
This phenomenon is known as electromagnetic induction and is the basis for many electrical devices such as generators and transformers.
Induced voltage can be calculated using Faraday's law, which states that the induced electromotive force (EMF) is equal to the rate of change of magnetic flux.
The induced voltage can be either positive or negative depending on the direction of the changing magnetic field and the orientation of the conductor or coil.
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A 100-volt electromotive force is applied to an RC-series circuit in which the resistance is 400 ohms and the capacitance is 10−4 farad. Find the charge q(t) on the capacitor if q(0) = 0
And also the current in I(t)
Answers
The charge q(t) on the capacitor would be, [tex]q(t)= 0.25c(1-e^{-t/0.04s})[/tex]
And the current I(t) in the circuit will be,[tex]I(t)= 0.25mA(1-e^{-t/0.04s})[/tex]
To find the charge q(t) on the capacitor at any time t, we can use the equation for the charge on a capacitor in an RC circuit:
[tex]q(t)= Q_{max} (1-e^{-t/RC})[/tex]
where Qmax is the maximum charge on the capacitor, R is the resistance, C is the capacitance, and t is time.
To find Qmax, we can use the equation for the maximum charge on a capacitor in an RC circuit:
Qmax = E × C
where E is the electromotive force.
So, we have:
Qmax = 100 V × 10⁻⁴F = 0.01 C
Using the given values of R and C, we have:
R*C = 400 ohms × 10⁻⁴F = 0.04 s
Substituting these values into the equation for q(t), we get:
[tex]q(t)= Q_0.01(1-e^{-t/0.04C})[/tex]
To find the current I(t), we can use Ohm's law and the equation for the charge on a capacitor:
I(t) = (1/R) × d(q(t))/dt
where d(q(t))/dt is the derivative of q(t) with respect to time.
Taking the derivative of q(t), we get:
[tex]dq(t)/dt= 0.01C (1-e^{-t/0.04C})[/tex]
Substituting this into the equation for I(t), we get:
[tex]I(t)= (1/400ohm)(0.01/0.04s) (1-e^{-t/0.04C})[/tex]I
Simplifying, we get:
[tex]I(t)= 0.25mA(1-e^{-t/0.04C})[/tex]
Therefore, the charge q(t) on the capacitor is:
[tex]q(t)= 0.25c(1-e^{-t/0.04s})[/tex]
And the current I(t) in the circuit is:
[tex]I(t)= 0.25mA(1-e^{-t/0.04s})[/tex]
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Before taking a personality test, Jackie sets her mind on growth. How might this affect her understanding of the test?
Choose two anSwers-
1.She will score high in the areas she chooses to.
2.She will respond based on what's best in her desired career path.
3. She will think of the results as an opportunity to find joy.
4. She will identify areas for self- development in her results.
Answers
Answer:
The two answers that are likely to be true are:
She will think of the results as an opportunity to find joy.
She will identify areas for self-development in her results.
By setting her mind on growth, Jackie is likely to approach the personality test with a positive and open mindset. This can lead to the following outcomes:
She will think of the results as an opportunity to find joy: Jackie may view the test results as a chance to discover aspects of her personality that bring her joy and satisfaction. She might focus on finding strengths and positive qualities that can contribute to her personal and professional growth.
She will identify areas for self-development in her results: Rather than viewing the test results as fixed labels or limitations, Jackie is likely to see them as valuable feedback for self-improvement. She may actively seek out areas where she can further develop her skills, knowledge, and personality traits to enhance her personal and career growth.
It's important to note that the other options listed in the question (1. She will score high in the areas she chooses to and 2. She will respond based on what's best in her desired career path) are not directly related to having a growth mindset. They suggest a more biased or strategic approach to the test, which may not align with the concept of growth and self-improvement.
A clown figurine is located 21.0 cm in front of a thin lens that has a focal length of 17.0 cm. Where would the image appear, and would it be real or virtual?
15.2 cm, virtual
89.3 cm, real
111 cm, real
−65.2 cm, virtual
Answers
c) 111 cm, real.
Explanation:
We can use the thin lens equation to determine the location and nature of the image:
1/f = 1/do + 1/di
where f is the focal length of the lens, do is the distance from the object to the lens, and di is the distance from the image to the lens.
Substituting the given values, we get:
1/17 = 1/21 + 1/di
Simplifying and solving for di, we get:
di = 1 / (1/17 - 1/21)
di = 111 cm
Since the value of di is positive, the image is formed on the opposite side of the lens as the object, which means it is a real image.
Therefore, the image of the clown figurine would appear 111 cm behind the lens, and it would be a real image.
The correct option is (c) 111 cm, real.
A model of a helicopter rotor has four blades, each 3.40 m long from the central shaft to the blade
trip. The model is rotated in a wind tunnel at 550 rev/min. (a) What is the linear speed of the blade
tip, in m/s? (b) What is the radial acceleration of the blade tip expressed as a multiple of the
acceleration of gravity, g?
Answers
The linear speed of the blade tip is approximately 114 m/s.
The radial acceleration of the blade tip is approximately 488 times the acceleration of gravity, g.
(a) To calculate the linear speed of the blade tip, we need to convert the rotational speed from revolutions per minute (RPM) to radians per second. One revolution is equivalent to 2π radians, so the angular velocity of the rotor is 550 rev/min x (2π/60) = 57.54 radians/second.
The linear speed of the blade tip is then the product of the angular velocity and the length of the blade, giving us 57.54 radians/second x 3.40 m = 195.6 m/s. The blade tip is only a small fraction of the total length of the blade, so we can assume that the linear speed of the blade tip is approximately equal to the linear speed of the rotor at a radius of 3.40 m. Therefore, the linear speed of the blade tip is approximately 114 m/s.
(b) The radial acceleration of the blade tip is given by the formula ar = rω², where r is the radius of the blade and ω is the angular velocity of the rotor in radians per second. Substituting in the values given, we get ar = (3.40 m) x (57.54 radians/second)² = 11,976 m/s². To express this in terms of g, we divide by the acceleration due to gravity, g = 9.81 m/s², giving us ar/g ≈ 488.
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There are two major types of data storage: Hard copy (paper) and digital storage. Both have strengths and weaknesses. Which do you think is better and why?
Your response should be 3-5 sentences long
Answers
Answer:
Both hard copy and digital storage have their own advantages and disadvantages, and which one is better largely depends on the specific use case and personal preferences. Hard copies can be more reliable in case of power outages or system failures, and can be easily transported without requiring any special equipment. Digital storage, on the other hand, can be more convenient for accessing, sharing, and searching large amounts of data, and can be easily backed up and protected from physical damage. Ultimately, the choice between the two depends on the needs and priorities of the user.
Explanation:
I think that digital storage would be the better option of the two. The waste produced by paper-related industries does great harm to our ecosystem, using digital storage would help keep a reduction in pollution.
Also, having a hard copy paper, you might misplace and lose it. If you use digital storage you have easy access and retrieval. It can hold much more information, take up less space, and be created in a shorter amount of time than analog methods.
Two billard balls with identical mass move toward each other, with the positive x-axis to the right. Assume that the collision between them is elastic. If the initial velocities of the balls are +40.0 cm/s and -30.0 cm/s, what are the velocities of the balls after the collision? Assume friction and rotation are unimprotant.
Answers
The velocities of the two balls after the collision are +70.0 cm/s to the right for both balls.
What is velocity?Velocity is described as the directional speed of an object in motion as an indication of its rate of change in position as observed from a particular frame of reference and as measured by a particular standard of time.
The initial momenta of the two balls are:
p1 = mv1 = m(+40.0 cm/s) = +40m
p2 = mv2 = m(-30.0 cm/s) = -30m
m= mass of each ball.
We know that by the conservation of momentum, the total momentum before the collision is equal to the total momentum after the collision.
p1 + p2 = mv1' + mv2'
mv1 + m(-v2) = mv1' + mv2'
We then Substitute the values for the momenta and solving for v1 and v2
v1 = (-v2) + v1 = (-(-30.0 cm/s)) + (+40.0 cm/s) = +70.0 cm/s
v2 = v1 - v2 = (+40.0 cm/s) - (-30.0 cm/s) = +70.0 cm/s
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which of the following best describe the weather conditions at location B
Answers
The best description on the weather conditions at location A and B is :It is warmer at position A than at position B.
Therefore Option (D) is correct
What is meant by weather conditions?Weather condition is described as the regional weather during a defined time period from one up to several weeks describing typical weather phenomena, such as a series of thunderstorm in hot summer, foggy month in autumn or other weather conditions which are typical for a specific region and/or season.
From the given image, a warm front is being shown. Here, the region comprising letter A is the warm zone and the region above the front comprising the letter B indicates a cold zone. The position A forms a low-pressure zone, so it is comparatively warmer than the position B.
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#complete question:
Which of the following statements best describes the weather conditions at positions A and B shown below?
A. It is raining at position A and clear at position B.
B. It is cloudy at position A and clear at position B.
C. It is cooler at position A than at position B.
D. It is warmer at position A than at position B.
draw the magnetic field lines inside and outside on the solenoid
Answers
Answer:
U Can check it out
Explanation:
the wire wound in a form of loop forms a coil or solenoid .when an electric current is passed through a coil or solenoid the resultant magnetic field is similar to that of a bar magnet .One end of the solenoid is North N-pole and other is S-pole like bar magnet .Since the field lines cannot cross each other, the Field lines are packed closer together inside. Therefore the field is stronger and uniform inside and weaker outside the coil.
When light is restricted to oscillating in a single plane, that is known as
diffraction
dispersion
interference
polarization
Answers
the answer is polarization.
Polarization
Explanation:
Polarization is a property of transverse waves, such as light waves, that describes the direction of the oscillation of the wave in space. When light is polarized, it oscillates in a single plane, rather than in all directions. This can occur naturally, as in the case of sunlight scattered by the atmosphere, or it can be artificially induced, such as by passing light through a polarizing filter.
Polarization is a result of the way that light waves interact with certain materials, such as crystals or filters. These materials allow light waves oscillating in a particular direction to pass through while blocking those oscillating in other directions. This property of polarization is used in many applications, such as 3D movies, where polarized glasses are used to separate the left and right images, or in photography, where polarizing filters can reduce glare and reflections from surfaces like water or glass.
In a parallel circuit, the current amplitude is the same through the inductor branch, the capacitor branch, and the resisitor branch. For this circuit, L =
20.0 mH and C = 10.0 mF.
a. What is the source angular frequency?
b. What is the resistance of the resistor?
Answers
part a.
The source angular frequency is 2.23 rad/s.
part b.
The resistance of the resistor is 4.46 Ω.
How do we calculate?The source angular frequency is given as:
ω = 1/√(LC)
where = is the inductance,
C = capacitance,
ω= angular frequency.
Substituting the values, we have:
ω = 1/√(20.0 mH x 10.0 mF) = 1/√(0.2) = 1/0.447 = 2.23 rad/s
part b.
We use the impedance in a parallel RLC circuit:
Z = R/(1 - ω^2LC)
impedance of the inductor branch is given as:
Z = jωL
impedance of the capacitor branch :
Z = -j/(ωC)
impedance of the resistor branch :
Z = R
We set all the impedances together at:
jωL = -j/(ωC) = R
We now solve for
R = ωL/ωC
R = = (2.23 rad/s)(20.0 mH)/(10.0 mF)(2.23 rad/s)
R = 4.46 Ω
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5.
The mass in a moving spring system has no velocity when the
kinetic energy of the system reaches zero.
potential energy of the system reaches zero.
mass returns to equilibrium.
restoring force reaches zero.
Answers
Answer: The mass has no velocity when kinetic energy=0.
Explanation: K=1/2mv^2 so if K=0, velocity must also equal 0.
Two moles of helium gas initially at 268 K
and 0.51 atm are compressed isothermally to
1.5 atm. Find the final volume of the gas. Assume
that helium behaves as an ideal gas. The
universal gas constant is 8.31451 J/K · mol.
answer in units m^3
Answers
The final volume of the gas is 1,515.24 m³.
What is the final volume of the gas?The final volume of the gas is calculated by applying ideal gas law;
PV = nRT
Where;
P is the pressureV is the volumen is the number of molesR is the universal gas constantT is the temperature.At a constant temperature, we will have the following equation;
P₁V₁ = P₂V₂
V₂ = (P₁V₁) / P₂
V₂ = (0.51 atm)(2 mol)(8.31451 J/K·mol)(268 K) / (1.5 atm)
V₂ = 1,515.24 m³
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Please help me Quick !!!!
Answers
Answer:
Explanation:
Yes, an object can travel with a non-zero velocity even when the net external force on it is zero. The object in this case is moving to the right with constant velocity and will continue in its state of motion as long as there are no external unbalanced forces acting on it. This is Newton's First Law of Motion (aka the Law of Inertia).
A 500 kg cannon fires a 10 kg cannon ball at 100 m/s. Assuming no force is stopping the cannon. What is the initial speed of the cannon ?
Answers
The initial speed of the cannon was 2 m/s.
The law of conservation of momentum states that the total momentum of a closed system remains constant if no external forces act on it. In this case, the cannon and the cannonball form a closed system, and no external forces are acting on it. Therefore, the total momentum of the system before and after the firing must be equal.
According to the law of conservation of momentum, the total momentum of the cannon and the cannonball must be conserved before and after the firing. Therefore, we can use the equation:
m(cannon) * v(cannon) = m(cannonball) * v(cannonball)
where m is the mass and v is the velocity.
Substituting the given values, we get:
500 kg * v(cannon) = 10 kg * 100 m/s
Solving for v(cannon), we get:
v(cannon) = 2 m/s
As a result, the cannon's starting speed was 2 m/s.
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A 5.0 kg block and a 4.0 kg block are connected by a 0.6 kg rod. The links between the blocks and the rod are denoted by A and B. A force F is applied to the upper block.
In Figure 4.2, the blocks and rod assembly move downward at constant velocity. The applied force F is closest to:
a)88 N
b)90 N
c)92 N
d)94 N
e)96 N
Answers
Answer::
D) 94 N
F = M a = (5.0 + 4.0 + .6) a
a = 9.80 m/s^2 since only acceleration is gravitational
F = 9.6 * 9.8 = 94 N
b) A rocket initially moving at v0=3.5 km/s in space fires its engines. The initial mass of rocket is m0=200,000 kg and the final mass of the rocket is m=20,000 kg. If the exhaust velocity is ve=5.2 km/s, calculate the final speed in km/s.
Answers
The final speed of the rocket is -11.8 km/s.
What is the final speed of the rocket?The final speed of the rocket is calculated by applying the principle of conservation of linear momentum.
m0v0 = mv + (m0 - m)ve
where;
m0 is initial massv0 is the initial speedve is exhaust velocityThe final speed of the rocket is calculated as;
200,000 kg x 3.5 km/s = 20,000 kg x v + (200,000 kg - 20,000 kg) x 5.2 km/s
700,000 = 20,000v + 936,000
v = -236,000/20,000
v = -11.8 km/s
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A boy of mass 60 kg and a girl of mass 40 kg are together and at rest on a frozen pond. What is the initial momentum of the girl?
A. 100 kgm/s
B. 40 kgm/s
C. 10 kgm/s
D. 0 kgm/s
Answers
Answer:
Explanation:
The answer is D. 0 ;
As We know when the net external force on an isolated system is absent then the total linear momentum of the system remains conserved.
=> By Conservation of linear Momentum of the system;
=> P1=P2 i.e initial momentum= final momentum;
=>if final momentum is '0' that is they are in rest position velocity is 0;
So momentum is 0 By p=mv;
Hence initial momentum will be zero;
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The initial momentum of the girl can be calculated using the formula:
p = mv
where p is the momentum, m is the mass, and v is the velocity.
Since the boy and the girl are at rest on the frozen pond, their initial velocity is zero. Therefore, the initial momentum of the girl is:
p = mv = (40 kg)(0 m/s) = 0 kgm/s
So, the answer is D. 0 kgm/s.
16. Other things constant, what do you expect will happen in the next 50 years to the relative demand for each of the following. a. Nursing homes. Demand b. Baby high chairs. Demand Price Price
Answers
The thing that I expect will happen in th the below is each of the following.
Nursing Homes: Demand for nursing homes is likely to increase in the next 50 years due to the aging population. Baby High Chairs: Demand for baby high chairs may increase or decrease depending on demographic and lifestyle trends. What is the justification?With regards to Nursing Homes as the population ages, there will certainly be a greater demand for nursing homes during the next 50 years. The need for long-term care facilities is anticipated to increase as people live longer. More patients might need specialized care that can only be offered in a nursing home setting as medical technology advances. However, future changes to healthcare and governmental policy may also have an impact on the demand for nursing homes.
Baby High Chairs depending on demographic and lifestyle trends, demand for baby high chairs may rise or fall. Baby high chairs may become less popular if birth rates keep falling or if parents choose more adaptable seating solutions. However, if more parents opt to
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write any two difference between watt and pascal
Answers
watt is a unit of power and pascal is unit of of pressure.
watt is J/s and pascal is N/m².
Pressure is defined as force per unit area. i.e. P = F/A it gives the force on unit area. its SI unit is Pascal (Pa) which is equal to N/m². is a scalar quantity. its dimensions are [M¹ L⁻¹ T⁻²].
Power is the rate of doing work. Power is also defined as work divided by time. i.e. Power = Work ÷ Time. Its SI unit is Watt denoted by letter W. Watt(W) means J/s or J.s-1. Something makes work in less time, it means it has more power. Work is Force times Displacement. Dimension of Power is [M¹ L² T⁻³]
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can someone please explain Question 1 a and e go to me :) ?
i have the answers. i just don't understand why the answers are what they are.
Answers
In the context of a scientific investigation, it is often important to provide accurate measurements. In this particular case, the mass of water used in the investigation is 0.05 kg.
How to calculate the massEnergy transferred = mass × specific heat capacity × temperature change
E = m × c × ΔT
We can rearrange this equation to solve for the mass of water:
m = E / (c × ΔT)
Substituting the given values, we get:
m = 1050 J / (4200 J/kg·°C × 0.6 °C) = 0.05 kg
Therefore, the mass of water used in the investigation is 0.05 kg.
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A bicyclist travels 69.05 kilometers in 4.332 hours. What is the cyclist's average speed?
Answers
Answer:
v = 15.939 km/h
Explanation:
distance (d) = 69.05 km
time (t) = 4.332 hours
Speed (v) = ?
v = d / t
v = 69.05 / 4.332
v = 15.939 km/h
How long will the light take in travelling a distance of 500 m in water refractive index of water is 1.33 and velocity of light in vacuum is 3 × 108 m/s. [2] Ans: 2.2 x 10 s
Answers
The light will take 2.2 μs in travelling a distance of 500 m in water refractive index of water is 1.33 and velocity of light in vacuum is 3 × 10⁸ m/s.
When a light is going from medium 1 to medium 2. The refractive index is defined as a ratio of velocity of light in medium 1 to velocity of light in medium 2. Refractive index is the factor which deals with the amount of bending of light. More refractive index means more it will bend in the medium 2. When it is 1 we can say that light has not been bent.
refractive idex of the medium is given by,
μ = velocity of light in vacuum/ velocity of light in medium
velocity of light in water = velocity of light in vacuum/ μ
velocity of light in water = 3 × 10⁸ m/s. / 1.33
velocity of light in water = 2.25 × 10⁸ m/s
Time = distance/velocity
Time = 500 m / 2.25 × 10⁸ m/s
time = 222 × 10⁸ s
time = 2.2 μs
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Would two observers standing on opposite sides of the truck hear the same pitch at the same time? Explain.
Answers
No, two observers standing on opposite sides of the truck would not hear the same pitch at the same time.
Why are sound wavelengths different?This is due to the fact that the sound waves produced by the truck's horn would move at a specific pace that would be constant for both viewers. The distance between the horn and each viewer, however, fluctuates as the truck passes the two people, resulting in a variation in the amount of time it takes for the sound waves to reach each person.
The Doppler effect, which comes from this change in time, changes how the sound waves are perceived in terms of pitch. To be more precise, the observer in front of the truck would hear a higher pitch (shorter wavelength) and the observer behind the truck would hear a lower pitch (longer wavelength).
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1) Three masses hang about a 3 meter stick whose fulcrum is at
50cm. A mass of m1=60.0 kg hangs at the 90.0 cm mark, m2= 20.0 kg hangs at the 20.0 cm mark. Find the location of the mass, m3= 10 kg to obtain static equilibrium. If it is not possible to reach equilibrium, then select a new pivot point and draw a new diagram that will allow the system to reach static equilibrium with the same lever arms values as before for all masses.
Answers
The mass m3 should be placed 0.8 m away from the fulcrum to achieve static equilibrium.
Static equilibriumTo achieve static equilibrium, the net torque acting on the system must be zero. The torque is given by the product of the force and the lever arm. Taking the fulcrum as the reference point, we can write:
(m1)(g)(0.9 m - 0.5 m) + (m2)(g)(0.2 m - 0.5 m) + (m3)(g)(x - 0.5 m) = 0
where g is the acceleration due to gravity (9.81 m/s^2) and x is the distance of the mass m3 from the fulcrum.
Simplifying and solving for x, we get:
x = [(m1)(0.9 m - 0.5 m) + (m2)(0.2 m - 0.5 m)] / (m3) + 0.5 m
x = [((60.0 kg)(0.4 m) + (20.0 kg)(-0.3 m))] / (10.0 kg) + 0.5 m
x = 0.8 m
Therefore, the mass m3 should be placed 0.8 m away from the fulcrum to achieve static equilibrium.
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Four point masses 2kg, 4kg, 6kg and 8kg are placed at the corners of Square ABCD of 2cm long respectively. Find the Position of centre of mass of the system from the corner A.
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Four point masses 2kg, 4kg, 6kg and 8kg are placed at the corners of Square ABCD of 2cm long respectively. the Position of center of mass of the system from the corner A. is (1 , 1.4 ) cm.
Considering A as it origin
center of mass along X axis
[tex]X = \frac{M_{a}r_{a} + M_{b}r_{b} + M_{c}r_{c} + M_{d}r_{d} }{M_{a} + M_{b} + M_{c}+ M_{d}}[/tex]
X = 2×0+4×2+6×2+8×0 ÷ (2+4+6+8)
X = 20 ÷ 20 = 1 cm
[tex]Y = \frac{M_{a}r_{a} + M_{b}r_{b} + M_{c}r_{c} + M_{d}r_{d} }{M_{a} + M_{b} + M_{c}+ M_{d}}[/tex]
Y = 2×0+4×0+6×2+8×2 ÷ (2+4+6+8)
Y = 28 ÷ 20 = 1.4 =cm
The position of the center of the mass from the corner A which is the origin is (1 , 1.4 ) cm.
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what is gravitatinal force ?
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Answer: The force of gravity, or gravitational force, pulls objects with mass toward each other.
We often think about the force of gravity from Earth. This force is what keeps your body on the ground.
But any object with mass exerts a gravitational force on all other objects with mass. For example, there is a gravitational force between you and every object around you.
The gravitational force between two objects is larger when the masses of the objects are larger. That’s why you can feel the gravitational force between you and Earth, but the force between you and objects with smaller masses is too weak to feel.
The gravitational force between two objects also depends on the distance between their centers. The further objects are from one another, the weaker the force is.
Storm radios are designed with backup batteries so that it can be used even in case of a power outage. Which sequence best illustrates the energy conversion during power outage?
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During a power outage, storm radios rely on backup batteries to continue operating. This process involves several stages of energy conversion.
Firstly, the energy stored in the backup batteries is converted into electrical energy when the radio is turned on.
The electrical energy is then converted into electromagnetic energy when the radio waves are transmitted from the radio antenna.
When these radio waves reach the receiver, they are converted back into electrical energy, which is then converted into sound energy that can be heard through the speaker.
Throughout this energy conversion process, there is some energy loss due to factors such as resistance in the wiring and inefficiencies in the battery and speaker. However, the backup batteries are designed to provide enough energy to power the radio for a significant period, ensuring that users can stay informed and connected during a power outage.
In summary, the energy conversion sequence during a power outage involves the conversion of stored chemical energy in the battery to electrical energy, then to electromagnetic energy, and finally to sound energy that can be heard through the speaker.
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