a) The angular velocity of the wheel is (2π/60) rad/s.
b) The angle is 60 degrees in 10 seconds.
Given data:
(a) To find the angular velocity in radians per second, we need to convert the given rate from revolutions per minute (rev/min) to radians per second (rad/s).
We know that 1 revolution is equal to 2π radians. Therefore, the conversion factor is 2π rad/rev.
Angular velocity (ω) is given by:
ω = (2π rev/min) * (1 min/60 s)
Simplifying, we have:
ω = (2π/60) rad/s
The angular velocity of the wheel is (2π/60) rad/s.
(b)
To find the angle turned by the wheel in 10 seconds, we can use the formula:
θ = ω * t
where θ is the angle in radians, ω is the angular velocity in radians per second, and t is the time in seconds.
Substituting the values:
θ = (2π/60) rad/s * 10 s
Simplifying, we have:
θ = (2π/6) rad
To convert the angle to degrees, we know that 2π radians is equal to 360 degrees. Therefore, the conversion factor is 360 degrees / (2π radians).
Converting the angle to degrees:
θ = (2π/6) rad * (360 degrees / (2π radians))
Simplifying, we have:
θ = 60 degrees
Hence, the wheel turns through an angle of (2π/6) rad or 60 degrees in 10 seconds.
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it is important to realize that an element’s line spectrum can include emissions at wavelengths throughout the electromagnetic spectrum including ultraviolet, visible, and infrared. according to the procedure in section 2, where will you be collecting data on hydrogen and helium’s line spectra?
Answer:
visible region
Explanation:
According to the procedure in section 2, in visible region the data collected on hydrogen and helium’s line spectra.
What is electromagnetic spectrum?Electromagnetic spectrum are the wave which is form of energy and includes the waves such as radio waves, gamma waves, visible light waves etc.
An element’s line spectrum can include emissions at wavelengths throughout the electromagnetic spectrum including ultraviolet, visible, and infrared.
Types of electromagnetic spectrum-
Radio waves-Radio waves are used to broadcast the signal and television signals.Microwaves-Microwaves are used in the mobile signals, Radar and in cooing the food.Infrared-Infrared transmit heat from difference sourced of fire.Visible light-This is the type of electromagnetic radiation, which is visible to the human eye.Ultraviolet-Ultraviolet electromagnetic radiation used in florescent tubes.X-rays- X-rays are used to see throughout the objects and the bodies.Gamma rays- Used in medical, to kill the cell causes cancer.
The hydrogen line spectra fall between wavelength, 410 nm to 656 nm. The helium line spectra fall between wavelength, 400 nm to 781 nm.This two fall in the visible region of line spectra.
According to the procedure in section 2, in visible region the data collected on hydrogen and helium’s line spectra.
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how can the change that the molecular scale affect the Lakes Macro scale appearance
The molecules of water determines the macro scale appearance of the lake .
What is a lake?The term lake is used to describe any large body of water that is surrounded by land. We know that water is composed of molecules and the orientation of molecules affect the macro scale appearance of the water.
Hence, as the molecules of water change their orientation, the macro scale appearance of the lake changes likewise.
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A wooden block of 0.60 kg is placed on a rough surface where it is accelerated at the rate of 4 m/s2. If the force applied on the block is 12N,what frictionless force is affecting the motion of block?
Answer:
Take a look below
Explanation:
What science projects should I do? Please just choose something basic!
Car A has a mass of 2000 kg and is going 28 m/s east.
Car B has a mass of 4000 kg and is going 13 m/s west.
What will be the momentum of both cars together after the collision?
The period of a pendulum of length 0.500 m is
14.2 s
7.02 s
1.42 s
0.702 s
0.450 s
Answer:
C. 1.42 s
Explanation:
Givens:
length = 0.5m
gravity = 9.807 m/s
Solve:
T = 2π√(L/g)
T = 2π√(0.5/9.807)
T = 2π√(0.0509)
T = 2π * 0.22579
T = 6.28318 * 0.22579
T = 1.418 ≈ 1.42s
sam says that beta particles are not used to irradiate food because they make it radioactive. Jo says that the reason is that beta particles would not be able to penetrate all the way through think packages of food. Who is correct, Sam or Jo?
Answer:
Jo
Explanation:
irradiating food doesn't make it radioactive (that's contamination) and beta particles are stopped by aluminium foil or thin metals, so it may not pass through thick packaging (usually gamma is used to irradiate foods as it can pass through the packaging)
what is Lorentz law?
14. A 75 kg BASEBALL PLAYER RUNS AT A VELOCITY OF 10 m/s TO GET TO SECOND BASE. IN
ORDER TO GET TO THIRD BASE QUICKLY SHE INCREASES HER SPEED TO 12 m/s.
DETERMINE THE WORK DONE BY THE BASEBALL PLAYER.
A. 1650 J
B. 1550 J
C. -1650 J
D. -1550 J
Answer:
-1650 J
Explanation:
When an object moves at a certain velocity v0 and changes it to v1, a change in its kinetic energy is achieved.
A particle with charge -5.00 C initially moves at v = (1.00 i + 7.00j) m/s. If it encounters a magnetic field B = 10.00 TÂ, find the magnetic force vector on the particle. A) (-350 î - 50.0ņ) N B) (350 î - 50.0f) n. C)(350 i + 50.0j)N D) (-350 î + 50.0ỉ)
The magnetic force vector on the particle is (-350.00 î + 50.00 j) N. Option D) (-350 î + 50.0ỉ) is the correct answer. we can use the equation: F = q * (v x B)
To find the magnetic force on a charged particle moving in a magnetic field, we can use the equation:
F = q * (v x B)
where F is the magnetic force vector, q is the charge of the particle, v is the velocity vector, and B is the magnetic field vector.
Given:
q = -5.00 C (charge of the particle)
v = (1.00 î + 7.00 j) m/s (velocity of the particle)
B = 10.00 T (magnetic field)
Substituting the values into the equation:
F = (-5.00 C) * ((1.00 î + 7.00 j) m/s x (10.00 T) î)
The cross-product of the velocity vector and the magnetic field vector can be calculated as:
v x B = (v_y * B_z - v_z * B_y) î + (-v_x * B_z + v_z * B_x) j + (v_x * B_y - v_y * B_x) k
Substituting the values:
v x B = (7.00 * 10.00) î + (-(1.00 * 10.00)) j + ((1.00 * 7.00) - (7.00 * 1.00)) k
= 70.00 î - 10.00 j + 0.00 k
= 70.00 î - 10.00 j
Now, calculating the magnetic force:
F = (-5.00 C) * (70.00 î - 10.00 j)
= -350.00 î + 50.00 j
Therefore, the magnetic force vector on the particle is (-350.00 î + 50.00 j) N. Option D) (-350 î + 50.0ỉ) is the correct answer.
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calculate the weight of an object of mass 100 kg on the surface of a Planet whose mass and diameter are 4.8*10^24 kg and 12000km respectively.
The weight of an object mass of 100 kg on the surface of a Planet willl is 981 N.
What is weight?
The weight of matter is found as the product of the mass and the gravitational acceleration;
Given data;
Weight of an object,W =?
Mass,m = 100 kg
\(\rm W= mg \\\\ \rm W= 100 \ kg \times 9.81 \ m/sec^2 \\\\ W=981 \ N\)
Hence the weight of an object willl be 981 N.
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when a sprinter uses starting blocks to enhance running performance, which of newton's laws is best represented by the interaction of the sprinter and the blocks?
The interaction between the sprinter and the starting blocks best represents Newton's Third Law. Newton's Third Law is "For every action, there is an equal and opposite reaction."
When a sprinter pushes off against the starting blocks, the force they exert on the blocks (the action) is met with an equal and opposite force from the blocks pushing back against the sprinter (the reaction). This reaction force propels the sprinter forward and helps them to achieve a more powerful and explosive start. Newton's Third Law of Motion is particularly relevant to sports and athletics, as many actions in sports involve interactions between two objects or individuals, such as a runner pushing off against the ground or a football player colliding with another player.
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what energy comes from electric charge, which is one of the fundamental properties of all matter
Answer:
A physical property of matter is electric charge. It is caused by an imbalance in the number of protons and electrons in a material. Whether there are more protons than electrons in a substance, it is positively charged if there are more electrons than protons, it is negatively charged.
Explanation:
7. Your friend shows you a special kind of paper that can change color. He says that it will change
color if it is out in the sun. Can light from the sun cause the paper to change color?
a
Yes. Light from the sun can pull energy out of the paper, causing it to change color.
b
Yes. The paper can take in energy from the light, causing it to change color.
С
No. Light is not a physical thing, so it cannot change physical things like paper.
d
No. Light can only change things by warming them up, so it cannot cause the paper to
change color.
Answer:
d no light can only change things by warming them up , so it cannot cause the paper to change colur
a 40 kg child sits in a swing supported by 2 chains, each 3 m long. if the tension in each chain at thee lowest point is 300 N, find the child's speed at the lowest point
We first draw a force diagram that shows the forces acting on the child-seat system and apply Newton's second law to solve the problem. The child's path is an arc of a circle, since the top ends of the chains are fixed. Then at the lowest point the child's motion is changing in direction: He moves with centripetal acceleration even as his speed is not changing and his tangentialacceleration is zero.
Below figure shows that the only forces acting on the system of child + seat are the tensions in the two chains and the weight ofthe boy:∑F=Fnet=2T−mg=ma= mv²/r
With:
Fnet =2T−mg=2(300N)−(40.0kg)(9.80m/s² )=208N
solving for v gives,
\(v = \sqrt{ \frac{f \:net.r}{m} } = \sqrt{ \frac{208.3}{40} } = 3.95 \frac{m}{s} \)
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In the spectrum of white light which one of the following colors corresponds to the highest temperature?A. RedB. YellowC. GreenD. VioletE. Orange
the answer to the question is D. Violet. In the spectrum of white light, the color that corresponds to the highest temperature is violet.
This is because the color of light that we see is directly related to the wavelength of the light, and the wavelength of violet light is the shortest of all visible colors.According to Wien's law, the wavelength of light emitted by an object is inversely proportional to its temperature. This means that the higher the temperature of an object, the shorter the wavelength of light it emits.Since violet light has the shortest wavelength of all visible colors, it corresponds to the highest temperature. Red light, on the other hand, has the longest wavelength and corresponds to the lowest temperature.
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Determine the amount of charge that has been passed if a 12W lamp that has a resistance of 270Ω has been run for 2.5 seconds.
Answer:
Explanation:
Given:
P = 12 W
R = 270 Ω
t = 2.5 s
____________
Q - ?
Power:
P = I²·R
Current strength:
I = √ (P / R) = √ (12 / 270) ≈ 0.21 A
Charge:
Q = I·t = 0.21·2.5 = 0,525 C
Give 2 instances where there is no change in the state of motion in an object on application of force on the object
The two instances where there is no change in the state of motion in an object on application of force on the object are when an object is at rest, and when an object is in motion,
In either case, the net force on the object is zero, this is referred to as Newton's First Law, which states that if the net force acting on an object is zero, the object will remain at rest or in a state of uniform motion. This law is also known as the law of inertia. The primary implication of Newton's First Law is that an object will remain in a state of uniform motion until acted upon by an unbalanced force.
As a result, any object at rest or in uniform motion will remain so until a net external force acts on it. The object will accelerate in the direction of the net force applied to it. For instance, if we apply a force of 10 N to a book resting on a table, it will not move if the frictional force is more significant than the applied force. So therefore when an object is at rest, and when an object is in motion, are the two instances where there is no change in the state of motion of an object on the application of force on the object.
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I need help please ;)
5. The half-life of 1-131 is 8.07 days. If 25 g are left after 40.35 days, how many grams
were in the original sample?
Notice that 40.35 is 5 times the half-life of 8.07 days. So in this time, the starting amount x of the sample was halved 5 times until 25 g of it were left, meaning
x/2⁵ = 25 g
Solve for x :
x = 2⁵ • (25 g) = 800 g
Which statement describes the interaction between the north and south poles of two magnets?(1 point)
The north pole of one magnet attracts the north pole of the other magnet.
The, , , north pole , , of one magnet , attracts , , the, , , north pole, , of the other magnet, .,
The south pole of one magnet repels the north pole of the other magnet.
The, , , south pole , , of one magnet , repels , , the , north pole, , of the other magnet, .,
The north pole of one magnet repels the south pole of the other magnet.
The, , , north pole , , of one magnet , repels , , the, , , south pole, , of the other magnet, .,
The south pole of one magnet attracts the north pole of the other magnet.
The, , , south pole , , of one magnet , attracts , , the, , , north pole, , of the other magnet, .,
Answer:
The south pole of one magnet attracts the north pole of the other magnet.
Explanation:
Opposites attract; likes repel :)
Answer:
C or third picture
Explanation:
Using the model above, which letter represents the position of the earth when the northern hemisphere is experiencing the shortest hours of daylight
A
B
C
D
Answer:
At position "B" the northern hemisphere is tilted the most from the earth-sun direction and will experience the shortest hours of daylight, (and also the most indirect sun rays).
9 Two wells are located at points A and B respectively. Point C is the middle point between A and B. When water is pumped out from Well A only, the drawdown at C is 7 in. if water is pumped out from well A whle water is poured in from well B at the same rate, what is the drawdown(ft) at point C?
Answer:
0
Explanation:
When water is pumped out of well A, it causes a drop of 7 inches at point C; if water is pumped from well B into well A (at the same rate the water is pumped out of well A), then it will give a rise of 7 inches at well C. Therefore the net drawdown at well C is:
S = 7-7 = 0
Which two statements are true of mechanical waves?
A. They travel by causing particles of matter to vibrate.
B. They use a medium to transfer energy.
C. They transfer energy by disturbing electric and magnetic fields.
D. They do not need a medium to transfer energy.
Two statements, that are true of mechanical waves, are:
They travel by causing particles of matter to vibrate. They use a medium to transfer energy.What is mechanical wave?
A mechanical wave is a wave in physics that involves the oscillation of matter and transmits energy across a medium. While waves can travel great distances, the transmission medium—the material—can only move so far.
The oscillating material stays close to its initial equilibrium position as a result. Only medium with elasticity and inertia can form mechanical waves. Transverse, longitudinal, and surface waves are the three different forms of mechanical waves.
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The electric field in a region of space is Ex =-1500 xV/m, where x is in meters.
What is the potential difference between xi = −20cm and xf = 80cm?
450 V is the potential difference between xi = −20cm and xf = 80cm. The difference in charge carriers' energy between two places in a circuit is known as the potential difference.
Voltage, which is denoted by the symbol V, is a unit of measurement for potential difference. Charge carriers in a circuit flow through them, transferring energy to the circuit's electrical components.
given Ex= -1500x V/m
Eₓ = -1500x V/M
hence required potential difference
V= ∫ Edx
V= (1500/2)*(0.8² - (-0.2)²)
= 750*(0.64 - 0.04)
= 450 V
To determine the potential difference, we use a voltmeter (or voltage). The quantity of current multiplied by the resistance equals the potential difference, which is the same as voltage. One Coulomb of charge uses one Joule of energy to move between two locations in a circuit, which is equal to a potential difference of one Volt.
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What is the velocity (in m/s) of a 0.179kg billiard ball of its wavelength is 7.83cm
Answer: 472.556m⋅s−1
Explanation: λ=7.83cm=7.83⋅(1cm)=7.83⋅(1cm×0.01m1cm)=0.0783m
Which of these is most likely to be a centrifugal force within the EU in the future?
Among the given options, cultural differences are most likely to be the centrifugal force within the EU in the future. The EU is a political and economic union of 27 member states, and cultural differences among its member states have always been present.
With the increasing number of immigrants from different parts of the world, the cultural differences among EU member states are becoming more prominent. Each member state has its unique language, history, customs, and traditions, which can create misunderstandings and conflicts among the member states.
The EU aims to promote unity and solidarity among its member states, but cultural differences can lead to a lack of understanding and trust between them. The EU's diverse cultural heritage is both a strength and a challenge for the union. The EU needs to find a way to respect the cultural diversity of its member states while maintaining its unity.
However, the cultural differences among the member states can still cause tensions and conflicts in the future. Therefore, it is crucial for the EU to continue to foster cultural awareness and understanding among its member states to maintain the union's cohesion and stability.
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complete question:
Which of these is most likely to be a centrifugal force within the EU in the future?
a. trade barriers
b. closed borders
c. pollution problems
d. cultural differences
2. Elements in a family have the same
A. total number of electrons
B. protons and neutrons
C. number of valence electrons
Answer:
Elements in a family have the same
Ans C. number of valence electrons
Two resistors r1=100 ohm and r2=220 ohm are connected in series across a voltage of 6.4v calculate the resistance of the resistor equivalent to r1 and r2
Answer:
r_eq = 320 Ω
Explanation:
It is asked to find the equivalent resistance of a series circuit formed by two resistors r₁ and r₂
r_eq = r₁ + r₂
r_eq = 100 + 220
r_eq = 320 Ω
with this value we can find the current that circulates through the circuit
V = r_eq i
i = V / r_eq
i = 6.4 / 320
i = 0.02 A
A mass is attached to a spring and is oscillating back and forth with a frequency of 20 Hz. If the spring is replaced by one with twice the spring constant, what is the new frequency of oscillation? A. 20 Hz
The new frequency of oscillation, when the spring constant is doubled, is approximately 28.28 Hz, which is the square root of 2 times the original frequency of 20 Hz.
When a mass is attached to a spring and oscillating back and forth, the oscillation frequency is directly proportional to the square root of the spring constant.
The formula that links mass, spring constant, and frequency is as follows:
\($$f=\frac{1}{2π}\sqrt{\frac{k}{m}}$$\)
where f = frequency, k = spring constant, and m = mass of the object.
Therefore, we can calculate the new frequency as follows:Original frequency: \($f_1 = 20 Hz$\)
New spring constant:
\($k_2 = 2k_1$\) where \($k_1$\) is the original spring constant
New frequency:
\($f_2 = \frac{1}{2π}\sqrt{\frac{k_2}{m}}$\)
If we substitute $k_2 = 2k_1$ into the above equation and simplify, we get:
\($f_2 = \frac{1}{2π}\sqrt{\frac{2k_1}{m}}$\)
\($f_2 = \frac{1}{2π}\sqrt{\frac{2}{m} k_1}$\)
\($f_2 = \frac{1}{2π}\sqrt{\frac{k_1}{m}}\sqrt{2}$\)
\($f_2 = \sqrt{2}f_1$\)
Therefore, the new frequency of oscillation is \($\sqrt{2}$\) times the original frequency, or:
\($f_2 = \sqrt{2}f_1 = \sqrt{2}(20 Hz) = 28.28 Hz$\)
Hence, the new frequency of oscillation is 28.28 Hz.
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A roundabout in a fairground requires an input power of 2.5 kW when operating at a constant angular velocity of 0.47 rad s–1 . (a) Show that the frictional torque in the system is about 5 kN m. (3) 1. (b) When the power is switched off, the roundabout decelerates uniformly because the
Answer:
Explanation:
Since the roundabout is rotating with uniform velocity ,
input power = frictional power
frictional power = 2.5 kW
frictional torque x angular velocity = 2.5 kW
frictional torque x .47 = 2.5 kW
frictional torque = 2.5 / .47 kN .m
= 5.32 kN . m
= 5 kN.m
b )
When power is switched off , it will decelerate because of frictional torque .