Answer:
[tex]\vec{B}_{y}=6T[/tex]
Explanation:
Here we can use the Lorentz force equation.
[tex]\vec{F}_{B}=q(\vec{v}\times \vec{B})[/tex]
We know:
v is the velocity (2.0i+4.0j+6.0k) m/sF is the magnetic force (0.4i-20j+12k) NB is the magnetic force (ai+bj+ck) Tq is the charge 2 CSo we will have:
[tex] (0.4i-20j+12k)=2((2.0i+4.0j+6.0k) \times (ai+bj+ck))[/tex]
Let's solve the cross product, knowing that x component of B is 0, it means a=0.
[tex] (0.4i-20j+12k)=2((2.0i+4.0j+6.0k) \times (0i+bj+ck))[/tex]
[tex] (0.4i-20j+12k)=2((4c-6b)i-2cj+2bk)[/tex]
Comparing the k component we have:
[tex]12=2b [/tex]
[tex]b=6 [/tex]
If we see b is the y-component of the magnetic field, therefore [tex]\vec{B}_{y}=6T[/tex]
I hope it helps you!
-0.033 units
Explanation:
According to Lorentz force law, the magnetic force, F, on a moving charge, q, moving with a velocity, v, in a magnetic field, B, is given by;
F = q v x B ----------------(i)
Where;
F, v and B are vectors. Therefore, equation (i) represents a vector product of the velocity and magnetic field vectors.
From the question;
v = (2.0i + 4.0j + 6.0k)m/s
F = (0.4i - 20j + 12k)N
q = 2.0C
Let the magnetic field vector be given by;
B = ai + bj + ck ---------------------(*)
Where;
a, b and c are the magnitudes of the x, y and z components of the magnetic field.
Substitute the values of F, v, B and q into equation (i) as follows;
(0.4i - 20j + 12k) = 2.0(2.0i + 4.0j + 6.0k) x (ai + bj + ck)
Expanding the second bracket gives
(0.4i - 20j + 12k) = (4.0i + 8.0j + 12.0k) x (ai + bj + ck) ---------------(ii)
Solving the right hand side of equation (ii) which is the vector product gives;
| |
| i j k |
(0.4i - 20j + 12k) = | 4.0 8.0 12.0 |
| a b c |
| |
(0.4i - 20j + 12k) = (8.0c - 12.0b)i - (4.0c -12.0a)j + (4.0b - 8.0a)k ----(iii)
Comparing both sides of equation (iii) gives the following three equations;
0.4 = 8.0a - 12.0b --------------------(iv)
-20 = 4.0c - 12.0a ---------------------(v)
12 = 4.0b - 8.0a ----------------------(vi)
From the question, it is given that the x component of the magnetic field is equal to zero. Now, recall that from equation (*) above, the magnitude of the x-component of the magnetic field is given as a
Therefore;
a = 0
To get the y component, which is b, substitute the value of a = 0 into equation (iv) as follows;
0.4 = 8.0(0) - 12.0b
0.4 = 0 - 12.0b
0.4 = - 12.0b
Solve for b;
b = [tex]\frac{-0.4}{12.0}[/tex] = -0.033
Therefore the y component of the magnetic field is -0.033 units
How do nuclear reactions illustrate conservation of energy and matter?
Answer:
In a nuclear reaction, the total (relativistic) energy is conserved. The "missing" rest mass must therefore reappear as kinetic energy released in the reaction; its source is the nuclear binding energy. Using Einstein's mass-energy equivalence formula E = mc², the amount of energy released can be determined.
Colby’s dog was running in the park with a speed of 28 m/s. If is dog had 6000 J of kinetic energy, find his dog’s mass.
Answer:
The dog's mass is 15.3kg.
Explanation:
Given that the formula for kinetic energy is k.e = 1/2×m×v² where m represents mass and v is the velocity. Then, you have to substitute the following values into the formula :
[tex]k.e = \frac{1}{2} \times m \times {v}^{2} [/tex]
Let k.e = 6000,
Let v = 28,
[tex]6000 = \frac{1}{2} \times m \times {28}^{2} [/tex]
[tex]6000 \div 784 = \frac{1}{2} \times m[/tex]
[tex] \frac{1}{2} \times m = \frac{375}{49} [/tex]
[tex]m = \frac{375}{49} \div \frac{1}{2} [/tex]
[tex]m = \frac{375}{49} \times 2[/tex]
[tex] m = \frac{750}{49} [/tex]
[tex]m = 15.3kg \: (3s.f)[/tex]
heat conduction can not take place between two objects if..
a) the total thermal energy of the two objects is the same
b) the objects are in contact
c) the temperatures of the two object are different
d) the two objects are in thermal equilibrium
Answer:
the two objects are in thermal equilibrium
Explanation:
thermal equilibrium us the state where two bodies or objects have the same amount of temperature thus no heat conduction
how much space does 1pound of butter occupy if the density of butter is 0.94 grams/cm cubed
Answer:
483.6 centimeters³
Explanation:
Taking into account the definition of density, 1 pound of butter occupies 482.54 cm³.
First of all, you have to know that density is defined as the property that matter, whether solid, liquid or gas, has to compress into a given space.
In other words, density is a quantity that allows us to measure the amount of mass in a certain volume of a substance. Then, the expression for the calculation of density is the quotient between the mass of a body and the volume it occupies:
[tex]density=\frac{mass}{volume}[/tex]
In this case, you know:
density= 0.94 [tex]\frac{grams}{cm^{3} }[/tex]mass= 1 pound= 453.592 gramsvolume= ?Replacing in the definition of density:
[tex]0.94\frac{grams}{cm^{3} } =\frac{453.592 grams}{volume}[/tex]
Solving:
volume× 0.94 [tex]\frac{grams}{cm^{3} }[/tex]= 453.592 grams
[tex]volume =\frac{453.592 grams}{0.94\frac{grams}{cm^{3} }}[/tex]
volume= 482.54 cm³
Finally, 1 pound of butter occupies 482.54 cm³.
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A particle is moving with a constant speed of 25 m/s in 90 m radius circle what is the angular speed in radian per second about the center of a circle
Answer:
the angular speed in radian per second about the center of a circle is 0.278 rad/s
Explanation:
Given;
Linear velocity v = 25m/s
Radius of circular path r = 90m
The linear velocity of the particle can be expressed as a function of the angular speed as;
Linear velocity = angular speed × radius of path
v = wr
w = v/r
Where;
v = linear velocity
r = radius
w = angular speed
Substituting the given values, we have;
w = 25/90 = 0.278 rad/s
the angular speed in radian per second about the center of a circle is 0.278 rad/s
Which statement about electromagnetic waves is true?
A.
Electromagnetic waves require a medium to travel.
B.
Electromagnetic waves don't require a medium to travel.
C.
The particles of the medium through which electromagnetic waves travel vibrate perpendicularly to the direction of the wave.
D.
The particles of the medium through which electromagnetic waves travel vibrate parallel to the direction of the wave.
Answer:
b
Explanation:
Answer:
they transfer energy
Explanation:
which shows the formula for converting from degrees Celsius to degrees Fahrenheit?
F=95*°C) +32
F=59* (°C-32)
F='C-273
Answer:
°F = (9/5 x °C) + 32
Explanation:
Using the upper and lower fixed point as shown in the attached photo, we can obtain the formula for converting from degrees Celsius to degrees Fahrenheit. This is illustrated below:
°C – 0/100 – 0 = °F – 32/212 –32
°C/100 = °F – 32 /180
Cross multiply
100(°F – 32) = 180 x °C
Divide both side by 100
°F – 32 = 180 x °C /100
°F – 32 = 9/5 x °C
Make °F the subject
°F = 9/5 x °C + 32
°F = (9/5 x °C) + 32.
Answer:
the first choice
Explanation:
got it right on the test. hope this helps! :)
Question 15
Experiments performed with light indicate that light exhibits
particle properties, only
wave properties, only
both particle and wave properties
o neither particle nor wave properties
Question 16
Answer:
Both particle and wave properties
Explanation:
Light is defined as a particle and a wave, and even as a combination of a particle and a wave. A unit of light is the photon. Higher energy photons behave like particles and low energy photons behave like waves.
Experiments performed with light indicate that light exhibits both particle and wave properties.
Which part of the telescope gathers light from a faraway object and reflects it to another mirror?
A.
secondary mirror
B.
primary mirror
C.
magnifying lens
D.
eyepiece
Answer:
2)primary mirror
Explanation:
A reflecting telescope contains mirrors and a refracting telescope contains lenses. There are two mirrors in basic reflecting telescope. The primary mirror gathers the light from the bodies at distance and reflects it towards the secondary mirror. The secondary mirror is placed at such an angle that it then reflects the light towards the eye piece and we can observe the faraway body.
Answer:
B. Primary mirror
Explanation:
a dolphin emits a sonar chirp, and hears an echo from a fish 0.325 s later. if the speed of sound in the ocean is 1520 m/s, how far is the fish from the dolphin? (unit=m/s)
Answer:
distance = 1/2 (0.325) × 1520
= 247m
The fish will be approximately 494 meters away from the dolphin.
To determine the distance between the dolphin and the fish, we can use the formula:
Distance = Speed × Time
In this scenario, the speed we need to consider is the speed of sound in the ocean, which is given as 1520 m/s. The time delay between the emission of the sonar chirp and the reception of the echo is 0.325 seconds.
By substituting these values into the formula, we can calculate the distance:
Distance = 1520 m/s × 0.325 s
Multiplying the speed of sound by the time delay gives us:
Distance = 494 m
Therefore, the fish is approximately 494 meters away from the dolphin.
The reason we can use the formula Distance = Speed × Time in this scenario is because the speed of sound is constant in the given medium (ocean), and the time delay represents the round-trip time for the sound wave to travel from the dolphin to the fish and back.
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Both objects A and D represent fixed, negatively-charged particles of equal magnitude and Object B represents a fixed, positively-charged particle (equal, but opposite charge from A and D). Object C shows a moving, positively-charged particle. Identify which arrow would correctly show the force of attraction or repulsion on object C caused by the other two objects?
A) 1
B) 2
C) 3
D) 4
Answer:
Option A = 1.
Explanation:
So, in order to solve this question we are given the Important infomation or data or parameters in the question above as;
(1). First, Both objects A and D represent fixed.
(2). Both objects A and D are negatively-charged particles of equal magnitude.
(3). "Object B represents a fixed, positively-charged particle (equal, but opposite charge from A and D)."
(4). "Object C shows a moving, positively-charged particle."
So, our mission is to determine the arrow that would correctly show the force of attraction or repulsion on object C caused by the other two objects.
We can do that by drawing out the forces of attraction and the resultants. Therefore, CHECK THE ATTACHED FILE/PICTURE FOR THE DRAWINGS.
The forces of attraction due to objects A and B on on object C will be towards themselves. Hence, the resultant is ONE(1).
Answer:
Its actually 3
Explanation: USATESTPREP
5. What is the amplitude of the waves shown in the diagram below?
Answer:
0.54 m
Explanation:
Example below.
A police car chases a speeder along a straight road towards a cliff both vehicles move at 160km/h the siren on the police car produces sound at a frequency of 100hz calculate Doppler shift in the frequency heard by the driver in a car behind the police at 120km/h moving towards the cliff and velocity if sound in air is 330m/s
Answer:
f ’= 97.0 Hz
Explanation:
This is an exercise of the doppler effect use the frequency change due to the relative movement of the fort and the observer
in this case the source is the police cases that go to vs = 160 km / h
and the observer is vo = 120 km / h
the relationship of the doppler effect is
f ’= f₀ (v + v₀ / v- [tex]v_{s}[/tex])
let's reduce the magnitude to the SI system
v_{s} = 160 km / h (1000 m / 1km) (1h / 3600s) = 44.44 m / s
v₀ = 120 km / h (1000m / 1km) (1h / 3600s) = 33.33 m / s
we substitute in the equation of the Doppler effect
f ‘= 100 (330+ 33.33 / 330-44.44)
f ’= 97.0 Hz
Will the current increase or decrease if you increase voltage?
Answer:
It will increase
Explanation:
All other things being equal, an increase in voltage will produce a corresponding increase in current, or flow of electrons. Voltage and current are related in a positive way, as one increases the other increases and vice versa.
what are power tools
Answer:
Tools that require electricty like drills
Explanation:
Answer: Power tools are those tools that are use with electricity...
Explanation:
I a liter jar contains 0.5 moles of gas at a pressure of 2 ATM what is the temperature of the gas
Answer:
The temperature of the gas is 48.75 Kelvin.Explanation:
Using the ideal gas equation as shown
PV = nRT where;
P is the pressure of the gas in ATM
V is the volume of the gas
n is the number of moles
R is the ideal gas constant
T is the temperature in Kelvin
From the formula, [tex]T = \frac{PV}{nR}[/tex]
Given the following parameters V = 1litre, n = 0.5moles. pressure = 2ATM
R = 0.08206 atm L/molK
On substituting to get the temperature we have:
[tex]T = \frac{2*1}{0.08206*0.5} \\T = \frac{2}{0.04103}\\T = 48.75Kelvin[/tex]
Which chemical in tobacco smoke may damage cilia in the respiratory
system?
tar
nitrogen
carbon monoxide
nicotine
Answer:
nicotine
Explanation:
The specific heat(c) of copper is 0.39 J/g °C. What is the temperature change(∆t) when 200 Joules of heat(Q) is added to 10 grams?
Answer:
7.8 J/g °C
Explanation:
0.39 J/g °C x 200 J / 10g
= 7.8 J/g °C
Answer:
above is the answer to your question.
The cuboid and the cube below are placed on the floor. The cuboid has a weight of 60N and the cube has a weight of 40N. Which exerts a greater pressure on the ground? Prove your answer.
Hello. You forgot to put the image that shows information needed to answer that question. The image is attached below:
Answer:
The cuboid and the cube exert the same pressure on the floor.
Explanation:
To answer this question, we must first consider that the area of the cuboid is equal to 24cm^2, while the area of the cube is equal to 16cm^2.
With that, we must calculate the pressure that each exerts, with the formula:
P = F / A
Cuboid: P = 60 / 0.0024 = 25000 N/m^2
Cube: P = 40 / 0.0016 = 25000 N/m^2
Answer:
Check Explanation
Explanation:
Pressure applied on a surface is defined as the force applied divided by the perpendicular cross sectional Area to the applied force
Pressure exerted by the cuboid = (weight of the cuboid)/(surface Area of the base of the cuboid touching the ground)
Weight of the cuboid = 60 N
surface Area of the base of the cuboid touching the ground = A(cuboid)
P(cuboid) = [60/A(cuboid)]
Pressure exerted by the cube = (weight of the cube)/(surface Area of the base of the cube touching the ground)
Weight of the cube = 40 N
surface Area of the base of the cube touching the ground = A(cube)
P(cube) = [40 ÷ A(cube)]
So, the diagram for the two structures, a cube and a cuboid is still missing from the internet, without this diagram and the surface area of their bases, we cannot truly tell which structure is undergoing which pressure. So, what I've done will make it very much simpler if all the diagrams are beyond.
P(cuboid) = [60/A(cuboid)]
P(cube) = [40/A(cube)]
Plugging in the surface areas, esp when their surface areas would be known wicked.
That way, the pressure appears so, you will go!!!
Hope this Helps!!!
Which of the following does not represent a contact force?
Answer:
B dropping a marble from the roof
Explanation:
You aren't putting force on it
Dropping a marble from a roof does not represent a contact force.
What is contact force?A contact force is a force that an object can only apply to another object by physically touching it.
An illustration of contact forces is: (1) Muscular force(2) Force of friction.
In this question, Pushing an object on the floor and kicking a soccer ball across the field is example of muscular force, which is a contact force. Even a weight of a pen on a table applied force via contact. But during dropping a marble from a roof, gravitational force comes into play which is a field force - not a contact force.
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briefly explain the factors that affect the center of gravity.
Answer:
:)
Explanation:
The strength of the gravitational force between two objects depends on two factors, mass and distance. the force of gravity the masses exert on each other. If one of the masses is doubled, the force of gravity between the objects is doubled. increases, the force of gravity decreases.
Explanation:
gravity is the force that gives weight to objects and causes them to fall on the ground when dropped. 2 major factors MASS and DISTANCE affects the strength of gravitational force on an object
States of matter question
Answer:
Solid and liquid
Explanation:
In solid state, the particles are tightly packed together hence forming a regular shape.
In liquid state, the particles are tightly packed together with some degree of movement.
In gaseous state, the particles are loosely packed and free to move randomly.
Since the particles of both solid and liquid state are tightly packed together, their corresponding density will only show a slight difference and hence almost similar.
expansion is greatest in A solid B gases C liquid D all
Answer: b)Gases
Explanation: Because the Particle are moving freely
Electromagnetic waves require a medium to transfer energy
True or False
The statemengt is false. Electromgnetic waves do not require a medium to transfer energy. They can transfer energy through vacuum (empty space with nothing in it). If electrimagnetic waves needed a medium to move through from place to place, then we could never see the sun, and also it would get very cold here.
Which two states border Washington, DC? Maryland, West Virginia Delaware, Virginia Delaware, West Virginia Maryland, Virginia
Answer:
I believe it would be Pennsylvania and New Jersey they both border Maryland. Didn't see any other states that border Maryland with West Virginia and Virginia being exempt from the question.
Explanation:
Answer: the correct answer is Maryland and Virginia
Explanation:
Rock composed of many thin layers. This image appears in an Earth science magazine with this caption: "A non-foliated rock found in the Himalayan Mountains.” Is the caption for this image correct? Why or why not? Yes, because the grains are arranged in thin, parallel layers. No, because the grains are arranged in thin, parallel layers. Yes, because the grains are arranged randomly. No, because the grains are arranged randomly.
Answer:
its B
Explanation:
Answer:
It's B, No, because the grains are arranged in thin, parallel layers.
Explanation:
I literally took the test 5 seconds ago and it was right.
What does an electromagnet do?
Convection is usually described as a ___________; when something is heated, it rises, cools, and then falls in a circular pattern.
Answer:
Current
Explanation:
Convection is the movement caused within a fluid by the tendency of hotter and therefore less dense material to rise, and colder, denser material to sink under the influence of gravity, which consequently results in transfer of heat. Simply put, Convection is the circular motion that happens when warmer air or liquid — which has faster moving molecules, making it less dense — rises, while the cooler air or liquid drops down.
An everyday example of convection is boiling water ; The heat passes from the burner into the pot, heating the water at the bottom. The water at the bottom rises and is replaced by the water at the top of the pot.
This rise of less dense water at a higher temperature and fall of denser water at a lower temperature sets up a convention current circularly until the water boils. This is a typical example of the day to day application of convection currents.
The wave formula is shown below. Check all boxes that are correct.
1) Wave speed is inversely related to the product of wavelength and frequency.
2) Wavelength has an inverse relationship with wave frequency when wave speed remains constant.
3) Wave speed is directly related to the product of wavelength and frequency.
4) Frequency has a direct relationship to wavelength when speed remains constant.
5) Wavelength and frequency are not related to wave speed.
Answer:
3) Wave speed is directly related to the product of wavelength and frequency.
4) Frequency has a direct relationship to wavelength when speed remains constant
Explanation:
V is the velocity (wave speed)
f is the frequency
the symbol next to the frequency is the wavelength
Velocity is proportional because the wavelength and frequency are multiplying.
It would be inversely proportional when the velocity is the dividend of the wavelength and frequency.
On the second statement, frequency (and wavelength) are directly related/proportional to the speed of the wave.
Which airplane has more potential energy, a boeing 787 dreamliner having a mass of 2,450kg at 11,500 m above Earth, or a boeing 747 having a mass of 3150 kg at 9000 m above Earth?
Explanation:
For 787 dreamliner airplane,
Mass, [tex]m_1=2450\ kg[/tex]
Height, [tex]h_1=11500\ m[/tex]
Potential energy of 787 dreamliner airplane is given by :
[tex]E_1=m_1gh_1\\\\E_1=2450\times 9.8\times 11500\\\\E_1=2.76\times 10^8\ J[/tex]
For a boeing 747,
Mass, [tex]m_2=3150\ kg[/tex]
Height, [tex]h_2=9000 \ m[/tex]
:
Potential energy of a boeing 747 airplane is given by
[tex]E_2=m_2gh_2\\\\E_2=3150\times 9.8\times 9000\\\\E_2=2.77\times 10^8\ J[/tex]
So, the potential energy of a boeing 747 airplane is more than the 787 dreamliner airplane.