(a) The amount of work required to change the rotational rate is 0.0112 J.
(b) The decrease in the rotational inertia when the outermost particle is removed is 64.29%.
Moment of inertia of the rod
The moment of inertia of the rod from the axis of rotation is calculated as follows;
I = md² + m(2d)² + m(3d)²
where;
m is mass = 10 g = 0.01 kgd = 3 equal division of the lengthd = 6/3 = 2 cm = 0.02 m
I = md²(1 + 2² + 3²)
I = 14md²
I = 14(0.01)(0.02)²
I = 5.6 x 10⁻⁵ kg/m³
Work done to change the rotational rateK.E = ¹/₂Iω²
K.E = ¹/₂(5.6 x 10⁻⁵)(60 - 40)²
K.E = ¹/₂(5.6 x 10⁻⁵)(20)²
K.E = 0.0112 J
Percentage decrease of rotational inertia when the outermost particle is removedI₂ = md² + m(2d)²
I₂ = 5md²
ΔI = 14md² - 5md²
ΔI = 9md²
η = (ΔI/I) x 100%
η = (9md²/14md²) x 100%
η = 64.29 %
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An object is placed at 0 on a number line. It moves 3 units to the right, then 4 units to the left, and then 6 units to the
right. What is the displacement of the object?
1
5
7
13
Answer: 5
Explanation: If you use a real graph it could be easier to check, but here’s it the easy way.
You start at 0, add 3 as you are going right on the right , subtract 4 as you are going left, then again add 6 as you are going right, and you should get 5.
0+3= 3
3-4= -1
-1+6= 5
How many dogs can cross at one
What constant acceleration, in SI units, must a car have to go from zero to 30 m/s in 14 s ?
Express your answer with the appropriate units.
Answer:
Acceleration = 2.143m/s²
Explanation:
Vf=Vi+at
(30)=(0)+a(14)
a=2.143m/s²
Which units are used to measure both velocity and speed? Select three options.
m/s
d/t
km/h
mph
lph
Answer:
m/s
km/h
mph
Explanation:
speed is measured with distance which does in velocity too that is why I chose this answer
A block with mass m = 2 kg slides down from a friction less ramp (mu = 0). If the angle theta is 25 degrees, find the acceleration of the block.
Based on the calculations, the acceleration of this block as it slides down from the friction less ramp is equal to 0.85 m/s².
How to determine the acceleration of the block?In order to determine the acceleration of this block, we would apply Newton's Second Law of Motion while taking moment about the tensional force.
The vertical component of the tensional force that is acting on the block as it slides down from this friction less ramp is given by:
T = Ma - Mgsinθ
0 = Ma - Mgsinθ
Ma = Mgsinθ
a = gsinθ
Substituting the given parameters into the formula, we have;
a = 9.8 × sin25
a = 9.8 × 0.4226
Acceleration, a = 0.85 m/s².
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Study the image.
Which of the following choices best explains how the lever made the task easier?
The final force on the rock was the same as the original force from the person and the distance the rock traveled was smaller than the original distance the lever moved, so the total work decreased.
The final force on the rock was greater than the original force from the person and the distance the rock traveled was smaller than the original distance the lever moved, but the total work remained the same.
The final force on the rock was smaller than the original force from the person and the distance the rock traveled was greater than the original distance the lever moved, so the total work stayed the same.
The final force on the rock was greater than the original force from the person and the distance the rock traveled was the same as the original distance the lever moved, so the total work increased.
The final force on the rock was smaller than the original force from the person and the distance the rock traveled was greater than the original distance the lever moved, so the total work stayed the same.
What is the 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.
The total work done on the process will be conserved.
The lever is a simple machine which makes work easier by reducing the force applied to the load and increasing the distance traveled by the load.
Thus, the final force on the rock was smaller than the original force from the person and the distance the rock traveled was greater than the original distance the lever moved, so the total work stayed the same.
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The heat of fusion for ice at 0°C is 333.7 kJ/kg, the specific heat of water 4.186 kJ/kg °C, and the heat of vaporization of water
at 100°C is 2,256 kJ/kg. What is the energy needed to vaporize 100 grams of ice at starting at 0°C?
Select one:
500 kJ
The energy needed to vaporize 100 grams of ice at starting at 0°C is 300.83 kJ.
What is heating?When the temperature is increased , the body or particle is said to be heating.
Given is the mass of water =100g =0.1 kg, Latent heat of fusion L = 333.7 kJ/kg,
Energy required to melt ice into water at 0°C.
Q₁ = mL
Q₁ = 0.1 x 333.7
Q₁ = 33.37 kJ
Energy required to heat water from 0°C to 100°C is
Q₂ = mCΔT
Q₂ = 0.1 x 4.186 x 100
Q₂ = 41.86 J
Energy required to vaporize at 100°C is
Q₃ = m Lv
Q₃ = 0.1 x 2256
Q₃ = 225.6 kJ
Total heat to vaporize 100 grams of ice at starting at 0°C is
Q = Q₁ +Q₂ +Q₃
Q = 33.37 +41.86 +225.6
Q = 300.83 kJ
Thus, the energy needed to vaporize 100 grams of ice at starting at 0°C is 300.83 kJ
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Three sticks are arranged to form a right triangle. If the lengths of the three sticks are 0.47 m, 0.62 m and 0.78 m, what are the three angles of the triangle?
The angles in the triangle are 91 degrees, 53 degrees and 36 degrees respectively.
What is the cosine rule?From the cosine rule we know that;
c^2 = a^2 + b^2 - 2abcosC
Since;
a = 0.47 m
b = 0.62 m
c = 0.78 m
Then;
(0.78)^2 = (0.47)^2 + (0.62)^2 - 2(0.47 * 0.62)cosC
0.61 = 0.22 + 0.38 - 0.58 cosC
0.61 - ( 0.22 + 0.38) = - 0.58 cosC
0.01 = - 0.58 cosC
C = cos-1(0.01/-0.58)
C = 91 degrees
Using the sine rule;
b/Sin B = c/Sin C
0.62/sinB = 0.78/sin 91
0.62/Sin B = 0.78
B = sin-1 (0.62//0.78)
B = 53 degrees
Angle A is obtained from the sum of angles in a triangle;
180 - (91 + 53)
A = 36 degrees
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Calculate 9 ∙ 10-5 divided by 3 ∙ 10-9. (Box after the "10" in answer is for the exponent.). ∙ 10 .
The result of 9 ∙ 10-⁵ divided by 3 ∙ 10-⁹ is 3 × 10⁴. Details about exponential functions can be found below.
How to calculate multiplication involving exponentiation?Exponentiation is the process of calculating a power by multiplying together a number of equal factors, where the exponent specifies the number of factors to multiply.
According to this question, the following exponential function is given:
9 × 10-⁵ ÷ 3 × 10-⁹
9/3 × 10-⁵+⁹
3 × 10⁴
Therefore, the result of 9 ∙ 10-⁵ divided by 3 ∙ 10-⁹ is 3 × 10⁴.
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x(t)=t^2-2t+1 when does it comes to rest?
Answer:
x(t) = t^2 - 2 t + 1 given
v = dx / dt = 2 t - 2 = 0
t = 1
It comes to rest after 1 second
How do a neutron and a proton compare?
O
A. The proton has much greater mass.
O
B. The proton is farther from the nucleus.
O
C. They have opposite charges.
O
D. They are both found inside the nucleus.
[tex]\qquad\qquad\huge\underline{{\sf Answer}}[/tex]
The Correct choice is : D
Neutrons and Protons are collectively known as Neucleons because they are found in nucleus of the cell and they have almost equal mass, [ but neutron has slightly greater mass than proton ]. also, Neutrons are neutral particle with no charge on them, where as protons have positive charge on them. making nucleus positively charged altogether ~
Answer:
Option D
Explanation:
Remember that neutrons and protons both are found inside the nucleus.Electrons wander around themProtons have positive chargeElectrons have negative chargeNeutrons are neutralPresent an argument about the likely kinetic energy of the ball before and after the collision with the can.
An argument about the likely kinetic energy of the ball before and after the collision with the can is can remain the same, halved and completely transferred.
What does collision mean in physics?In physics, we understand as a collision process the interaction between two or more bodies, initially free (that is, there is no interaction between them). Collision is usually divided into three categories: elastic collision, partially elastic collision and inelastic collision.
Analyzing for each of these cases we have that the kinetic energy before and after the collision will be:
elastic collision: Kinetic energy will be the same before and afterpartially elastic collision : the kinetic energy will be halved after the collision.inelastic collision: All the kinetic energy will be transferred to the other body after the collision.See more about collision at brainly.com/question/13138178
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Mr smith needs to put the paving stone dosnt to rest his arms. He does not want the paving stone to sink deep into the mud . Explain which surface of the stone he should put on the ground.
The surface of the stone which he should put on the ground is the base.
What is a Base?This is defined as the flat end which is usually located at the bottom with a larger surface area.
The large surface area helps to distribute the forces on all parts thereby preventing it from sinking.
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If I bought 59 kids off the black market in a secret door in the stalls and I sell 21 kids then ask for 81 more then 12 off the kids runaway in speed of 6 miles and I get in my ice cream truck/van and forget 9 kids and 4 kids out run my ice cream truck/van and I catch 8 of them How Many Do I Have? I'll give a Brainlist.
You will be left with 106 kids
Meaning of word problem
A word problem can be defined as a mathematical problem that is written in word or written in a sentence format.
In a word problem, the student is expected to decode the sentence into a mathematical expression before solving
In conclusion, You will be left with 106 kids
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sketch an electric field pattern around two identical negative point charges shown below in the figure of class 11 model question physics.
Answer:
fv nfv f n f vjrkfv frnv thrfn htrfn vt
Explanation:
v ntv tfrv tn vtv jr4v t5o vtv tv tv
Baseballs pitched by a machine have a horizontal velocity of 30 meters/second. The machine accelerates the baseball from 0 meters/second to 30 meters/second in 0.5 seconds. If a baseball has a mass of 0.15 kilograms, the force the machine exerts is______ newtons.
Answer:
65
Explanation:
Discuss the role of oxygen in air supply aboard spacecraft, such as the ISS.
When living beings require energy, they require oxygen for breathing. The form in which oxygen is released back into the environment is carbon dioxide.
What is spacecraft?A vehicle built for use outside the atmosphere of the planet.
In pressurized tanks located outside the airlock of the station, the ISS gets a regular supply of oxygen from the planet.
These aren't enough to keep the station stocked for a long time, but they are plenty to keep topping the tank off because there are occasionally leaks.
Hydrogen and carbon dioxide combine to form biomass when oxygen is released into the environment.
Living beings need oxygen for breathing when they require energy. Carbon dioxide is the form in which oxygen is released back into the atmosphere.
Hence, oxygen is a must in the air supply aboard spacecraft,
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Explain between the cause of high probability of accidents of loaded vehicles in over speed on the basis of the first law of motion.
Cause of high probability of accidents of loaded vehicles in over speed effected by momentum on the basis of first law of motion.
What does Newton's first law say?When we are standing inside a bus and it brakes abruptly, due to inertia, we are thrown forward. When a car is going around a curve it is necessary for a force to act, otherwise the car will go in a straight line.
the cause of high probability of accidents of loaded vehicles in over speed occurs large amount of momentum.
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Explain why the atomic mass of an element is weighted average mass
Explanation:
The mass written on the periodic table is an average atomic mass taken from all known isotopes of an element. This average is a weighted average, meaning the isotope's relative abundance changes its impact on the final average. The reason this is done is because there is no set mass for an element.
Describe 2 health and safety risks at the scene and how can you dealt with this.
The two Health and safety risk at the scene are:
1. To deal with Chemicals.
2. To deal with Electricity.
What are Healthy and safety risk?The healthy and safety risk at the scene or office is described as safety hazards that has to be taken when employers are working in office in some mechanical or electrical workshops.
Employers need to e follow some healthy and safety risk while working in office like:
1. Chemicals : When employees have to handle harmful or dangerous chemicals as part of their work. To safety safe the must wear protective clothing.
2. Electrics - Electrical safety is an important issue in workplace , especially where there is a risk that heavy-duty equipment might cause electric shock.
These are some safety hazards employees must follow.
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Which of these units is most appropriate to use when measuring the mass of a person?
The SI unit of mass is the kilogram
Two point charge
q, seperated by 1.5cm
have change value
of +2.0 and -4.0N/C
respectively what is
the magnitude of the
Electric force midway
between them?
Answer:
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In what direction will each of the wires below move?
Answer:
Explanation: ckeck this image
4) A force of 100 N is applied to the wrapped present, giving it an
acceleration of 2 m/s2. What is the mass of the object?
Please help me nowwww!!!!!!!!
Answer:
50kg
Explanation:
Force = 100N
Acceleration = 2 m/s2
Mass = ?
From formula,
Force = Mass * Acceleration
100 = Mass * 2
Mass = 50 kg
Hence ,mass of object is 50 kg.
In short,Force(F) = 100N
Acceleration(a) = 2 m/s2
Mass(m) = ?
We know,
F = ma
100 = m x 2
m = 100/2
m = 50kg
Hence ,mass of object is 50 kg.
Answer:
50 kg
Explanation:
Force(F) = 100N
Acceleration(a) = 2 m/s2
Mass(m) = ?
We know,
F = ma
100 = m x 2
m = 50kg
hence ,mass is 50 kg.
1.33 kg of ice at 0.00 °C is added to 12.4 kg of water at 20.0 °C. What is the final temperature?
Answer:
Heat gain = Heat loss
Latent heat of fusion of water = 80 kcal/kg
Specific heat of water = 1 kcal /kg deg C
Heat gain = 1.33 * 80 + (12.4 + 1.33) T = 106 + 13.7 T
Heat Loss = 12.4 * (20 - T) = 248 - 12.4 ΔT
106 + 13.7 T = 248 - 12.4 T
26.1 T = 142
T = 5.4 final temperature
Answer: 10.310406 (works for acellus)
I tried to add an explanation but it wouldn't let me for some reason
Anyways watch the end of the video to see how to get the equation
For which type of pathogens do immunizations/vaccinations help prevent?
To reduce the risk of atherosclerosis, it is important to cut down on?
The pathogen that immunization helps to prevent is virus.
To reduce the risk of atherosclerosis cut down on saturated fatty foods.
What is immunization?Immunization is defined as the prevention of pathogenic viral organisms from harming a living human host through the exposure of the host to an attenuated form of the virus to develop immunity prior to a future exposure.
Atherosclerosis is the deposition of fatty substances on the arterial wall leading to blocking of the blood vessels.
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4.2 a horizontal force of 4 400 N, acting to the right, is applied on a car of mass 1000kg on horizontal surface. the surface exert a frictional force of magnitude 800 N on the car
4.2.1 Draw a force diagram showing all the force acting on a car
Answer:
three properties of intrinsic semiconductor
As elements gain more electrons in their outer shells, their electrical
conductivity generally decreases. Which of the following explains this
phenomenon?
Electrical conductivity often decreases, when elements receive additional electrons in their outer shells. As a result of the valence shell being filled, the number of movable electrons decreases.
What is a mobile electron?Electrons are mobile charges in the conduction band while holes are mobile charges in the valence band.
Current flow in a semiconductor is caused by charge carrier migration in both the conduction and valence bands.
Which creates a net motion of positively charged carriers in the same direction as the field and negatively charged carriers in the opposite direction as a result of the force.
The outermost electrons in metals are not bonded to each atom which is shared by many atoms. This decentralization is what allows metals to conduct electric currents.
Hence, the elements gain more electrons in their outer shells, and their electrical conductivity generally decreases.
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A pump is used to lift 100 KG of water from a wel 60 m deep,in 20 S If force of gravity on 1 KG is 10 N,find
a) work done by the pump
B) potential energy stored in the water
c)power spent by the pump
d)power rating of the pump
Explanation:
Given,
m = 100 kgg = 10 N/kg¹h = 60 mt = 20 sTo Find:
a) Work done by the pump
b) Potential energy stored in the water
c)Power spent by the pump
d)Power rating of the pump.
Solution:
a) Work done by the pumpWe know that,
[tex] \rm \: Work \: done = Force * Distance \: moved[/tex]
f = 100 kg * 10N/kgd = 60 m[tex] \rm \: Work\; Done =(100 \: kg \times \cfrac{10N}{kg} ) \times 60 \: m[/tex]
[tex] \rm \: Work\; Done =1000 \times 60 \: joule[/tex]
[tex] \boxed{\rm \: Work\; Done =60000 \: joule}[/tex]
[The unit'll be joule since N×M = J]
b) Potential energy stored in the water[tex] \rm \: P.E = m \cdot g \cdot h[/tex]
m = 100 kgg = 10N/kgh = 60[tex] \rm \: P.E =100 \:kg \: \times \cfrac{10 \: N}{kg} \times 60[/tex]
[tex] \boxed{\rm \: P.E =60000 \: joule}[/tex]
same condition here as well, N×M = Jc) Power of the Pump[tex] \rm \: P = W/T[/tex]
where P = Power; W = Work done & T = Time takenAs we got the value of work done on question (a),& ATQ time taken is 20 S.
[tex] \rm \: P = \cfrac{60000 \: joule}{20 \: seconds} =\boxed{\rm { 3000 \: Watts }}\: or \: \boxed{\rm 3 \: kW}[/tex]
d) Power rating of the pump = 3 kWAssumption: The pump is 100% efficient & works well.
a conveyor belt at a recycling plant launches bottles and bottle caps into the air, so that an automatic image recognition device can count them. They land same height at which they are launched. Glass bottles are launched at an angle of 35.0 degrees above horizontal and land after 0.500 seconds.
a) Solve for the initial speed at which the bottles are launched.
b) Solve for the horizontal displacement at which the bottle land
(a) The initial speed at which the bottles are launched is 4.27 m/s.
(b) The horizontal displacement at which the bottle land is 1.75 m.
Initial speed of the bottleThe initial speed of the bottle is calculated as follows;
[tex]T = \frac{2usin\theta}{g}[/tex]
where;
T is time of flightu is the initial speed2usinθ = Tg
u = Tg/(2sinθ)
u = (0.5 x 9.8)/(2 x sin35)
u = 4.27 m/s
Horizontal displacement of the bottleX = u²sin(2θ)/g
X = (4.27² x sin(70))/(9.8)
X = 1.75 m
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