(a) The impulse on the puck is 1.323 kgm/s.
(b) The magnitude of the force that acted on the puck is 264.5 N.
Impulse of the puckThe impulse on the puck is equal to the change in momentum of the puck.
The change in th momentum of the puck is calculated as follows;
ΔP = m(u - v)
where;
v is the final velocity = (-25x + 5y) m/su is the initial velocity = 37 m/sMagnitude of the final velocity
|v| = √[(-25)² + (5)²] = 25.5 m/s
ΔP = 0.115(37 - 25.5)
ΔP = 1.323 kgm/s
Thus, the impulse on the puck is 1.323 kgm/s.
Force on the puckThe magnitude of the force that acted on the puck is calculated as follows;
F = ΔP/t
F = 1.323/0.005
F =264.5 N
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A particle is moving in a circle of radius 2 meters according to the relation (please refer to picture), where Vo is measured in radians and in seconds. The speed of the particle at = 4 seconds is
(A) 13 m/s
(B) 16 m/s
(C) 26 m/s
(D) 52 m/s)
(E) 338 m/s
Answer:
ω = dΘ / dt
dΘ / dt = d (3 t^2 + 2 t) / dt = 6 t + 2
At 4 sec ω = 6 * 4 + 2 = 26 / sec
V = ω * R = 26 / sec * 2 m = 52 m/s
A photon with wavelength 11. 0 nm is absorbed when an electron in a three-dimensional cubical box makes a transition from the ground state to the second excited state
For a photon with wavelength 11. 0 nm, the side length LL of the box is mathematically given as
L=1.414*10^{-27}m
What is the side length LL of the box?Generally, the equation for the change in energy is mathematically given as
[tex]dE=\frac{hc}{\lambda}[/tex]
Therefore
[tex]\frac{hc}{\lambda}=\frac{6h^2}{8ml}\\\\L=\sqrt{6h\lambda}{8mc}\\\\L=\sqrt{\frac{6(6.626*10^{-34})*11.0*10^{-9}}{8(9.11*10^31)(3*10^8)}}[/tex]
L=1.414*10^{-27}m
In conclusion, the side length LL of the box is
L=1.414*10^{-27}m
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The side length of the box for a photon of wavelength 11. 0 nm will be [tex]\rm L = 1.414 \times 10^{-27}[/tex] m.
What is wavelength?The distance between two successive troughs or crests is known as the wavelength. The peak of the wave is the highest point, while the trough is the lowest.
The change in the energy of the photon is found as;
[tex]\rm dE = \frac{hc}{\lambda} \\\\ \frac{hc}{\lambda} =\frac{6h^2}{8ml} \\\\ L= \sqrt{\frac{6h\lambda}{8mc} } \\\\ L = \sqrt{\frac{6 \times 6.626 \times 10^{-34}\times 11 \times 10^{-9}}{8 \times 9.11 \times 10^{31} \times 3 \times10^8} } \\\\ L= 1.414 \times 10^{-27} \ m[/tex]
Hence the side length of the box for a photon of wavelength 11. 0 nm will be [tex]\rm L = 1.414 \times 10^{-27}[/tex] m.
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At what constant velocity must a spacecraft travel from earth if it is to reach the star in 3. 7 years, as measured by travelers on the spacecraft?
The constant velocity that the spacecraft must travel is : 3.49 * 10⁸ m/s
Given data :
Distance of star from earth = 4.3 light years
Observers time = 3.7 years
Determine the constant velocity the spacecraft must travelObservers time = 3.7 * 365 * 24 * 60 * 60
Distance of star from earth = 4.3 * 9.46 * 10¹⁵
The velocity the spacecraft must travel will be calculated using the equation
V = distance / time
= ( 4.3 * 9.46 * 10¹⁵ ) / ( 3.7 * 365 * 24 * 60 * 60 )
= 3.49 * 10⁸ m/s
Hence we can conclude that The constant velocity that the spacecraft must travel is : 3.49 * 10⁸ m/s
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Attached below is the missing detail related to the question
The constant velocity must the spacecraft travels from the earth will be 3.49×10⁸ m/sec.
What is velocity?The change of distance with respect to time is defined as speed. Speed is a scalar quantity. It is a time-based component. Its unit is m/sec.
The given data in the problem is
Distance of earth from stars = 4.3 light year
The given time = 3.7 year
One year converted into the second as;
[tex]\rm 1 \ year = 3.7 \times 365 \ days \ \times 24 \ hour \times 60 \ minute \times 60 \ sec \\\\ 1 year = 116 \times 10^6 \ sec[/tex]
1 light-year into a kilometer as;
[tex]\rm 4.3 \ light year = 4.3 \times 9.46 \times 10^{15 metre} \\\\[/tex]
At what constant velocity must a spacecraft travel from the earth if it is to reach the star in 3. 7 years,
The velocity of the spacecraft's travel from the earth will be;
[tex]\rm V = \frac{d}{t} \\\\ V= \frac{4.3 \times 9.46 \times 10^{15}}{3.7 \times 365 \times 24 \times 60 \times 60 } \\\\\ V= 3.49 \times 10^8 \ m/sec[/tex]
Hence the constant velocity must the spacecraft travels from the earth will be 3.49×10⁸ m/sec.
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A particular lightbulb is designed to consume 40 W when operating on a car's 12-V DC electric power. If you supply that bulb with 12-V AC power from a transformer, how much power will it consume
What is the tension of the string if the cylinder has an acceleration of
In physics, the tension on a suspended object said to be equal to the weight of the object plus or minus the mass of the object times the acceleration acting on it.
~ ISS
What is the equation for finding the amount of inertia in forces and motion? Explain how you solve that equation.
Answer:
Inertia = angular momentum / angular velocity
The water was used to power a generator, creating _______________ energy
Answer:
electric
please give brainliest
amy bought 3 body lotions and 7 body spray for 80 jessica bought 6 body lotion and 3 body spray for 63.75 how much does one body spray cost
Answer:
Each body spray cost $ 21.25
Explanation:
If an ocean wave passes a stationary point every 5 s and has a velocity of 10 m/s, what is the wavelength of the wave
Answer:
As Per Provided Information
Velocity of wave v is 10m/s
These ocean wave passes a stationary point every 5 s ( It's time period)
First we calculate the frequency of ocean wave .
Using Formulae
[tex] \blue{\boxed{\bf \: \nu = \cfrac{1}{v}}}[/tex]
here
v is the velocity of wave .
[tex]\sf\longrightarrow \nu \: = \cfrac{1}{10} \\ \\ \\ \sf\longrightarrow \nu \: = 0.1Hz[/tex]
Now calculating the wavelength of the wave .
Using Formulae
[tex] \boxed{ \bf \lambda = \cfrac{v}{ \nu}}[/tex]
Substituting the value and we obtain
[tex] \sf \longrightarrow \lambda \: = \cfrac{10}{0.1} \\ \\ \\ \sf \longrightarrow \lambda \: = \cancel\cfrac{10}{0.1} \\ \\ \\ \sf \longrightarrow \lambda \: =100m[/tex]
Therefore,
Wavelength of the wave is 100 metres.
Today, you will use the Magnetic Fields Simulation to collect more reliable data about the two
variables that were tested on the eliminated cards: the number of wire coils on the electromagnet
and the distance between the car and launcher.
1. How does the number of wire coils on an electromagnet affect the strength of magnetic force?
Describe how you will set up tests with isolated variables in the Sim to answer this question.
What will you change?
What will you keep the same?
What will you measure?
The current flowing in the wires will be kept constant while the number of turns of the wires will be changed, then you will measure the strength of the magnetic force.
Strength of the magnetic force
The strength of the magnetic force depends on the number of the turns of the wire and the amount of current flowing in the wires in a given magnetic field.
The relationship between the magnetic force and the number of wire coils on an electromagnet is given as;
F = I x N
where;
I is the current in the wire N is the number of turnsThus, the current flowing in the wires will be kept constant while the number of turns of the wires will be changed, then you will measure the strength of the magnetic force.
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Calculate the volume of 500 kilograms
to 2 decimal places
flead if the density of lead is 11400 kg/m². Give your answer
Enter your answer to 2 decimal places
Answer:
d (density) = M / V
V = M / d = 500 kg / (11400 kg / m^2 = .044 m^3
The main environmental effects of ozone depletion could include all of the following except
The main environmental effects of ozone depletion could include the following:
higher risk of skin cancersunburnsquick ageingweakend immune systemWhat is ozone depletion?Ozone depletion is the gradual thinning of the ozone layer in the upper atmosphere as a result of the relelase of chemical compounds or gases.
Ozone layer helps prevent the Earth surface against incoming ultraviolet radiations that could cause damage to our environment.
Therefore, the main environmental effects of ozone depletion could include the following:
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The following are some of the primary environmental implications of ozone depletion and increased risk of skin cancer, sunburns, rapid aging, and the immune system being weakened.
What is ozone depletion, and how does it happen?The progressive weakening of the ozone layer in the upper atmosphere as a result of the release of chemical compounds or gases is known as ozone depletion.
The ozone layer protects the Earth's surface from harmful UV rays that may harm our environment. As a result, the primary environmental effects of ozone depletion could include:
1. An increased risk of skin cancer
2. Sunburns
3. Rapid aging
4. The immune system is weakened.
Hence increased risk of skin cancer is the main environmental effect of ozone depletion.
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The presence of which magnetic feature best explains why a magnet can act at a distance on other magnets or on objects containing certain metals? fields dipoles domains forces
The orientation with the largest magnetic torque on the dipole is Orientation B (See attached image).
What is Magnetic Torque?The torque on the dipole is defined as:
τ = µ×B,
where B is the external magnetic field.
The magnitude of this torque is µB sinθ, where θ is the angle between B and µ
Magnetic Torque is highest when;
→ →
µ ⊥ β
That is when θ = 90°. Hence B is the correct answer. Please see attached image.
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Answer:
b
Explanation:
Cars enter a car wash at a mean rate of 33 cars per half an hour. What is the probability that, in any hour, exactly 22 cars will enter the car wash? round your answer to four decimal places
Answer:Cars enter a car wash at a mean rate of 4 cars per half an hour.
Explanation:
The probability that, in any hour, exactly 22 cars will enter the car wash will be 0.0920.
What is probability?Probability means possibility. It deals with the occurrence of a random event. The value of probability can only be from 0 to 1.
Its basic meaning is something is likely to happen. It is the ratio of the favorable event to the total number of events.
The mean rate of car is,[tex]\rm \lambda = 66 \ car/hour[/tex]
[tex]P(x=K) = \frac{8^k e^{-8}}{k\!}\\\\P(x=22) = \frac{66^{22} e^{-22}}{22\!}\\\\ P(x=22)=\frac{0.000000000000691\times 1.07\times 10^{40}}{22} \\\\\ P(x=22)=0[/tex]
Hence the probability that, in any hour, exactly 22 cars will enter the car wash will be 0
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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).
A student states, "The wave model is better than the particle model for electromagnetic radiation because it is easier to understand." Is the student's statement a scientific claim?(1 point)
Yes, it is because simpler scientific models are better.
No, it isn't because the particle model is better than the wave model.
No, it isn't because the statement is an opinion.
Yes, it is because there is ample proof that wave models are easier.
The student's claim did not follow the scientific method of discovery, hence, it is an opinion not a scientific claim.
What is the scientific method?The scientific method is a procedure employed by scientific towards understanding the world around them as well giving explanation for phenomena in the natural world.
The scientific method involves:
observations asking questions putting forward a hypothesis testing the hypothesis through experiments analyzing results of the experiments and drawing conclusions establishing a theory.Since the student in question just put forward an opinion without testing it out using the scientific method, the statement is not a scientific claim.
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Which Tesla would win in a drag race?
(A) 2009 Tesla Roadster
(B) 2016 Tesla Model X
Answer:B
Explanation:
A has about 248 hp but B has about 683 hp. 2016 is younger too. good day
A 23. 6 g ball of clay is thrown horizontally to the right at 40. 4 m/s toward a 1. 70 kg block sitting at rest on a frictionless surface. The clay hits and sticks to the block.
What is the speed of the block and clay right after the collision?
Answer in m/s to three significant figures
Answer:
0.142 m/s
Explanation:
You solve it by conservation of momentum.
Before the impact the total momentum is, considering right the positive direction,
[tex]m_1v_1+m_2v_2 =6\cdot10^-^3\times 40.4\ kg\cdot m/s + 1.7\times 0 \ kg\cdot m/s =242.4\cdot 10^-^3\ kg\cdot m/s[/tex]
After the impact, we have a single body of mass [tex]m_1+m_2[/tex] and thus a single value of speed, V.
[tex](m_1+m_2)V =1.703 kg \cdot V[/tex]
Since no external forces are applied, the two quantities are equal after the impact. That allows us to solve for V
[tex]V= (242.4\cdot10^-^3 \ kg\cdot m/s )\div (1.703\ kg)=142.337\cdot10^-^3 m/s = 0.142 m/s[/tex]
a body has a mass 5 kg what does it mean
Answer:
If the mass of an object is 5kg it means that the mass is measured on the unit kilogram and this unit is contained 5times the given quantity of the object.
15. A 0.500-kg mass suspended from a spring oscillates with a period of 1.50 s. How much mass must be added to the object to change the period to 2.00 s?
The answer is 0.389 kg but please show your work.
Let's look at relationship
[tex]\\ \rm\rightarrowtail T=2\pi\sqrt{\dfrac{m}{k}}[/tex]
[tex]\\ \rm\rightarrowtail T\propto \sqrt{m}[/tex]
Hence
[tex]\\ \rm\rightarrowtail \dfrac{T_1}{T_2}=\sqrt{\dfrac{m1}{m2}}[/tex]
[tex]\\ \rm\rightarrowtail \dfrac{1.5}{2}=\sqrt{\dfrac{0.5}{m2}}[/tex]
[tex]\\ \rm\rightarrowtail 0.75^2=\dfrac{0.5}{m2}[/tex]
[tex]\\ \rm\rightarrowtail m_2=\dfrac{0.5}{0.75^2}[/tex]
[tex]\\ \rm\rightarrowtail m_2=0.889[/tex]
Hence
Mass needs to added =0.889-0.500=0.389kgAnswer
Mass needs to added =0.889-0.500=0.389kg
Explanation:
How to know if two vectors are linearly independent
Answer:
Given a set of vectors, you can determine if they are linearly independent by writing the vectors as the columns of the matrix A, and solving Ax = 0.
Explanation:
You may verify if a group of vectors is linearly independent by expressing the vectors as columns of the matrix A and solving Ax = 0.
What is a vector?A vector is a quantity or phenomena with magnitude and direction that are independent of one another. The phrase also refers to a quantity's mathematical or geometrical representation.
If no vector can be written as a linear combination of the others, a set of vectors is said to be linearly independent.
If no vector in a collection of vectors can be written as a linear combination of the ones mentioned before it, the set is said to be linearly independent.
A nontrivial linear combination yields the zero vector, the vectors are said to be dependent.
You may verify if a group of vectors is linearly independent by expressing the vectors as columns of the matrix A and solving Ax = 0.
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To predict whether a star will ultimately become a black hole, what is the key property of the star we should look at?.
A star will ultimately become a black hole when it collapses due to end of fuel.
Which star becomes a black hole?When a star burns through the last of its fuel, the object may collapse, or fall into itself. For smaller stars which are about three times the sun's mass, the new core will become a white dwarf but when a larger star collapses, it turns into a black hole.
So we can can conclude that a star will ultimately become a black hole when it collapses due to end of fuel.
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What is the speed of a wave that has a frequency of 173 Hz and a wavelength of 2. 59 meters? Express your answer to the nearest whole number. M/s.
The speed of the wave will be v= 448.07 m/s
What is speed of the wave?The speed of the wave is defined as the distance traveled by the wave with respect to the time.
The frequency is defined as the number of cycles per seconds it is calculated in hertz
The distance between two successive troughs or crests is known as the wavelength. The peak of the wave is the highest point, while the trough is the lowest.
Now frequency = 173 hertz
wavelength = 2.59 m
The velocity will be given by the formula:
[tex]v=\lambda\times f[/tex]
[tex]v=173\times 2.59=488.07 \ \frac{m}{s}[/tex]
Thus the speed of the wave will be v= 448.07 m/s
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1 point
8. A magnetic field of 30 T is directed perpendicular to the force of a coil
with an area of 0.36 m^2. Calculate the magnetic flux in the coil.
A)0.27 Wb
B)9.3 Wb
C)10.8 Wb
D)83.3 Wb
Answer:
the answer is. C.
Explanation:
[tex] 0.36 \times 30 = 10.8[/tex]
the solution
If a food has 200 calories and 7 grams of protein, and each gram of protein is 4 calories, what percent of the serving comes from protein?
Answer: 13%
Explanation: The reason this is 13 is because you can eat carlories and you can also be an amazing person 200 calories and 7 grams
Calculate the mass (in g) of 346 cm³ of polythene. The density of polythene is 0.95 g/cm³. Give your answer to 2 decimal places.
Answer:
M = 328.70g
Explanation:
From the given values:
V = 346 cm³
M of 1 cm³ of Polythene = 0.95g or 95/100g
Solve:
M = (95×346)
10
= 32870
100
M = 328.70g
Photoelectrons are emitted from the surface of a metal when light shines on it. If the wavelength of the light is decreased
Answer:
what are your answer choices if you have any?
Explanation:
(my ask question thingy isnt working)
A skateboarder initially has 5 kJ of kinetic energy. As she freewheels along a flat section of path, she does 400 J of work against friction and air resistance. Calculate her final kinetic energy.
The final kinetic energy of the skateboarder after she freewheels and did work against friction on the flat section of the path is 4,600 J.
Conservation of energyThe final kinetic energy of the stakeboarder is determined by applying the principle of conservation of energy as shown below;
ΔK.E = -W
K.Ef - K.Ei = -W
where;
K.Ef is the final kinetic energyK.Ei is the initial kinetic energyW is work doneK.Ef = K.Ei - W
K.Ef = 5,000 J - 400 J
K.Ef = 4,600 J
Thus, the final kinetic energy of the skateboarder is 4,600 J.
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write comparison between Electrical Circuit and Magnetic Circuit.
[tex] \\ \\ \\ \\ \\ \\ \\ [/tex]
Thanks¡!¡:)
Magnetic circuit, closed path to which a magnetic field, represented as lines of magnetic flux, is confined.
In contrast to an electric circuit through which electric charge flows, nothing actually flows in a magnetic circuit.
Explanation:
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A thin rod of length d on a frictionless surface is pivoted about one end
The magnitude of the angular momentum of the rod immediately after the collision is given as (pf + pi) * d. (Option A).
What is Angular Momentum?
Angular Momentum may be defined or described as the vector quantity of the rotation of a body, which is arrived at by multiplying its moment of inertia by its angular velocity.
The formula for Angular Momentum is given as:
L = mvr; Where
L = Angular Momentum
m = mass
v = velocity; and
r = radius.
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[tex]\rm( P_f+P_i)d[/tex] is the magnitude of the rod's angular momentum immediately after the contact. Option A is correct.
What is the definition of Angular Momentum?Angular Momentum may be defined as the vector quantity of a body's rotation, which is calculated by multiplying its moment of inertia by its angular velocity.
The Angular Momentum formula is as follows:
[tex]\rm L=I\omega[/tex]
[tex]\rm L = mvr[/tex]
Where,
L is the angular momentum
m stands for mass.
v stands for velocity, and
r stands for radius.
Hence option A is correct.
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