The relative velocity of two vehicles moving in the same direction will be 42 m/s, whereas the relative velocity of two vehicles moving in different directions will be 8 m/s.
Let the velocities of the two vehicles be, v1 and v2, respectively.
Given,
The velocity of the first vehicle (v1) = 24 m/s
The velocity of the second vehicle (v2) = 18 m/s
Case-1
When they are moving in a same direction,
The relative velocity (V) of the two vehicles will be the sum of their velocities, i.e.,
V = v1 + v2
=> V = 24 + 18
=> V = 42 m/s.
Case-2
When the vehicles are moving in different directions,
The relative velocity (V) of the two vehicles will be the difference between the velocities, i.e.,
V = v1 - v2
=> V = 24 - 18
=> V = 6 m/s.
Therefore, The relative velocity of two vehicles moving in the same direction will be 42 m/s, whereas the relative velocity of two vehicles moving in different directions will be 8 m/s.
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If you are told an image has been made by a single optic that has a positive focal length, which is true?
If you are told an image has been made by a single optic that has a positive focal length, The options that are true are:
The image is real. (Option A)
The image is virtual. (Option B)
The image has a positive image distance. (Option C)
The image has a negative image distance. (Option D)
The image is inverted. (Option E)
The image is upright.(Option F)
The image was made with a converging optic. (Option G)
The image was made with a diverging optic. (Option H)
If the optic is a lens, it is convex. (Option I)
If the optic is a mirror, it is convex. (Option K)
What is Focal Lenght?The focal length of an optical system is the inverse of the system's optical power; it measures how strongly the system converges or diverges light.
A system with a positive focus length converges light, whereas a system with a negative focal length diverges light.
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Full Question:
If you are told an image has been made by a single optic that has a positive focal length, which is true?
a. The image is real.
b. The image is virtual.
c. The image has a positive image distance.
d. The image has a negative image distance.
e. The image is inverted.
f. The image is upright.
g. The image was made with a converging optic.
h. The image was made with a diverging optic.
i. If the optic is a lens, it is convex.
j. If the optic is a lens, it is concave.
k. If the optic is a mirror, it is convex.
l. If the optic is a mirror, it is concave.
What happens if an object displaces more water than it weighs?
(a) the object floats
(b) the object sinks
(c) the object floats, then sinks
(d) not enough information to tell
Answer:
if the object does not weighs it would stay on top of the surface of the water but if the object has weight it would sink
Find the wave length of 100.2khz
The wavelength of a wave with frequency of 100.2Khz is 2.99 × 10³m.
How to calculate wavelength?Wavelength is the length of a single cycle of a wave, as measured by the distance between one peak or trough of a wave and the next.
The wavelength is often designated in physics as λ, and corresponds to the velocity of the wave divided by its frequency as follows:
λ = v/f
Where;
λ = wavelengthv = velocityf = frequencyAccording to this question, the frequency of a wave is 100.2KHz, which is equivalent to 1.002 × 10⁵Hz.
λ = 3 × 10⁸ ÷ 1.002 × 10⁵
λ = 2.99 × 10³m
Therefore, 2.99 × 10³m is the wavelength of the wave.
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A tank with a flat bottom is filled with water to a height of 7.5 meters. What's the pressure at any point at the bottom of the tank?
A tank with a flat bottom is filled with water to a height of 7.5 meters. The pressure at any point at the bottom of the tank will be 174825 Pascal
Pressure at the flat bottom will be = Po + P(h)
Po = atmospheric pressure
P(h) = Pressure due to water
density of water = rho = 1000 kg / [tex]m^{3}[/tex]
Pressure at the flat bottom will be = 101325 Pa + 1000 * 9.8 * 7.5 = 174825 Pascal
The pressure at any point at the bottom of the tank will be 174825 Pascal
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What are the rock forming minerals and its meaning.
Answer:
There are almost 5000 known mineral species, yet the vast majority of rocks are formed from combinations of a few common minerals, referred to as “rock-forming minerals”.
Does Monera move?
20 points
Answer:
Prokaryotic Bacteria
Explanation:
16) What is the acceleration of the ball on its way up?
a) 0m/s
b) 8m/s
c) -9.81m/s^2
d) +9.81m/s
The acceleration of the ball on it way up is -9.81m/s².
The correct option is C)
What is acceleration?
This is the rate of change of velocity with respect to time. The speed and direction of the accelerating object are also very important. It unit is meters per second square, m/s².
What is Gravity?
This is the force that pulls a body toward the center of the earth. This force causes objects to fall freely. This free-falling object has an acceleration of 9.8m/s downward the earth. This is called acceleration gravity.
What is velocity?
This refers to the speed at which an object moves in a given direction. It unit is meters per second, m/s.
Recall that the direction of motion is assumed to be the positive direction. Other parameters depend on the direction of motion. Hence for upward acceleration, the direction of motion is positive but the acceleration due to gravity is negative because the direction is downwards.
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a spiral spring loaded with a piece of metal extends by 9.4cm. when the metal is fully immersed in water, the spring extends by 3.5cm. assuming Hooke's law is obeyed, calculate the relative density of the metal
The relative density of the metal that is on a spiral spring which extends 9.4 cm in air and 3.5 cm in water is 1.59
RD = Weight of body in air / Upthrust
RD = Relative density
F = - k x
F = Spring force
k = Spring constant
x = Displacement
RD = - k ( 9.4 ) / - k ( 9.4 - 3.5 )
RD = 9.4 / 5.9
RD = 1.59
Relative density is the ratio of density of the substance to the density of the reference material. Density is the ratio of mass to volume. The unit of density is kg / m³. Relative density has no unit since it is density divided by density.
Therefore, the relative density of the metal is 1.59
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Find the resultant force of 16N and the force of 25N acting at the same point on an object if the Force at : (1) In the same direction in the same line. (11) In the opposite direction but in the same straight line. (111) At right angles to each other.
1 ) Resultant force if the forces act in the same direction = 41 N
2 ) Resultant force if the forces act in the opposite direction = 9 N
3 ) Resultant force if the forces act at right angles to each other = 29.68 N
F1 = 16 N
F2 = 25 N
1 ) If the forces act in the same direction,
F = F1 + F2
F = 16 + 25
F = 41 N
2 ) If the forces act in the opposite direction,
F = F2 - F1
F = 25 - 16
F = 9 N
3 ) If the forces act at right angles to each other,
F² = F1² + F2²
F² = 16² + 25²
F² = 256 + 625
F² = 881
F = 29.68 N
Therefore,
1 ) F = 41 N
2 ) F = 9 N
3 ) F = 29.68 N
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Which direction do the electrons move when the south end of the magnet goes through the coil?
Electrons will move in anti- clockwise direction in the coil when the south end of the magnet goes through the coil
If you flip the magnet to bring its south pole towards the coil, the current flows in the direction that produces a magnetic field whose south pole faces the magnet . And as we know that , in south pole of the coil , the current will move in clockwise direction . Hence , electrons will move in anticlockwise direction because electrons move in opposite direction of the current .
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A falling object with a mass of 2.55 kg encounters 4.0 N of air resistance. What is the acceleration of the object? (Choose up to be the positive direction, and remember the definition of weight).
Question 9 options:
a)
-21 N
b)
-241.0 m/s2
c)
-21.0 m/s2
d)
-8.2 m/s2
e)
8.2 m/s2
The acceleration of the falling obeject of mass 2.55 kg is -8.2 m/s². And the right option is d) -8.2 m/s².
What is acceleration?This can be defined as the rate of change of velocity.
To calculate the acceleration of the object, we use the formula below.
Formula:
a = (R-mg)/m............. Equation 1Where:
a = Acceleration of the objectm = Mass of the objectR = Air resistanceg = Acceleration due to gravity.Note: Taking forces acting upward to be positve and downward force to be negatove,
From the question,
Given:
R = 4 Nm = 2.55 kgg = 9.8 m/s²Substitute these values into equation 2
a = [4-(2.55×9.8)]/2.55a = -20.99/2.55a = -8.2 m/s²Hence, The acceleration of the object is -8.2 m/s².
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Charlie flew from phoenix to Tucson, a distance of 120 miles. the trip there took one hour. he then returned back to Phoenix in 2 hours. what was his total distance for the entire trip?
0 miles
120 miles
240 miles
360 miles
When a fast electron (i.e., one moving at a
relativistic speed) passes by a heavy atom, it
interacts with the atom's electric field. As a result,
the electron's kinetic energy is reduced; the
electron slows down. In the meantime, a photon of
light is emitted. The kinetic energy lost by the
electron equals the energy E., of a photon of
radiated light:
E,= K-K',
where K and K' are the kinetic energies of the
electron before and after radiation, respectively.
This kind of radiation is called bremsstrahlung
radiation, which in German means "braking
radiation" or "deceleration radiation." The highest
energy of a radiated photon corresponds to the
moment when the electron is completely stopped.
▼
Part A
Given an electron beam whose electrons have kinetic energy of 9.00 keV, what is the
minimum wavelength Lambdamin of light radiated by such beam directed head-on into a lead
wall?
Express your answer numerically in nanometers.
The correct answer of minimum wavelength Lambdamin of light radiated is 1.3777 x 10 ^-2 m.
What is bremsstrahlung radiation?
Bremsstrahlung, also known as "braking radiation" or "deceleration radiation," is electromagnetic radiation that is produced when a charged particle decelerates when it is deflected by another charged particle. This is commonly an electron by an atomic nucleus.
The energy of the photon is given by:
E=hν=hcλE=hν=hcλ
Here
• h=6.63⋅10^−34 J⋅s=6.63⋅10^−34 J⋅s is the Plank's constant and c is the speed of light and λ is the wavelength
λ= hc/E = 4.136×10−15 eV·s (2.998x10^8 m/s)/10^4 eV
= 4.136×10^−15 eV·s (2.998x10^8 m/s)/9^4 eV = 1.3777 x 10 ^ (8-15-4) = 1.3777 x 10 ^-11 m
= 1.3777 x 10 ^-2 m
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Water drips from rest from a leaf that is 12.0 meters above the ground. Neglecting air
resistance, how long does it take the water drop to hit the ground? What is the speed of
each water drop when it hits the ground?
Speed of the drop will be 15.4919m/s
Given :- g =10m/s²
u=0
s=12
v²-u²=2as is the formula to be used.
v²=u²+2as
v²=2 x 10 x 12
=240
v=√240 m/s
=15.4919m/s
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Which of the following courses might a mechanical engineer take in college?
Agriculture Operations
Organic Chemistry
Ethics in Sustainable Agriculture
Molecular Biology
The course to be likely taken by a mechanical engineer in college is agriculture operations (option A).
What is engineering?Engineering is application of mathematics and the physical sciences to the needs of humanity and the development of technology.
Mechanical engineering is a subfield of engineering concerned with designing and building machines and mechanical systems.
A mechanical engineer is an individual who specialises in the field of mechanical engineering. This means that a mechanical engineer is expected to be vast in the knowledge of designing and building machines for operations in other fields.
One of those fields that a mechanical engineer can build or design machine for is agriculture. Therefore, agriculture operations is the most likely course to be taken by a mechanical engineer in college.
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Answer: The correct answer is Agriculture Operations
Explanation: This answer has been confirmed correct.
Mechanical engineers work with equipment and automation, in areas such as agricultural operations. In contrast, they do not typically work with chemistry, ethics, or molecular biology.
What role does fiction play in sport of your choice? Collect one picture of that sport in action where friction either supporting it or opposing it
what happens to the reflection when it hits the triangular prisms? the reflection is from air to glass. critical angle=42° please help me i need it right now:(
Answer: TIR (total internal reflection) occurs
Explanation: TIR occurs because the angle of refraction reaches a 90-degree angle before the angle of incidence reaches a 90-degree angle. The only way for the angle of refraction to be greater than the angle of incidence is for light to bend away from the normal. Since light only bends away from the normal when passing from a more dense medium into a less dense medium, then this would be a necessary condition for total internal reflection.
function of a transformer in electrical circuits
Explanation:
There two types of transformers which are mainly stepup and step down transformers
the former is used for increasing voltage while the latter is used for reducing voltage
I'm stuck on b(i), because I don't understand what equation to use with what values.
Answer:
Apparently, it takes 3 * 5E-3 sec to travel from D to G
The distance is given as .68 m
V = S / t = .68 m / (3 * 5E-3 s) = 45 m/s
A child throws a piece of candy corn directly up with an initial velocity of 3.8 m/s. If the starting height of the candy was 2.2 meters, what will be the height of the candy after 0.3 seconds? Use a = -9.8m/s/s
A hiker walks due East for a distance of 6 km
from her base camp. On the 2nd day, she covered
8km, North. On the 3rd day she walks for 4 km
South and found a cave. Determine her resultant
displacement between the base camp and the
cave.
Resultant displacement between the base camp and the cave will be 7.211 km
Displacement is a vector quantity that refers to "how far out of place an object is"; it is the object's overall change in position.
Her resultant displacement can be calculated using Pythagoras theorem
[tex]H^{2} = P^{2} + B^{2}[/tex]
= [tex]4^{2} + 6^{2}[/tex]
= 52
H = [tex]\sqrt{52}[/tex] = 7.211 km
Resultant displacement between the base camp and the cave will be 7.211 km
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Can someone please explain how to do this?
A babysitter pushing a stroller starts from rest and accelerates uniformly at a rate of 0.778 m/s^2. What is the velocity of the stroller after it has traveled 5.54 m?
Jacob and his scooter have a combined mass of 15 kg What is the force it will take to accelerate his scooter at 3 m/s²?
Answer:
45 N
Explanation:
F = m a = 15 * 3 = 45 N
What is the gravitational force acting on a 70.0 kg object standing on the Earth’s surface?
The radius of the earth is 6.371 x 106 m and the mass is 5.972 x 1024 kg.
The gravitational force acting on a 70.0 kg object standing on the Earth’s surface is 687.37N
What is gravitational force ?
A mass attracts a mass; the amount of the gravitational force is directly proportional to the masses of the two items and inversely proportional to the square of the distance between the two objects. Gravitational force is an attractive force that exists between all objects with mass.
The square of the distance between two things has an inverse relationship with the force of gravity, which depends directly on the masses of the two items. Accordingly, the force of gravity increases with mass but decreases as object distance increases.
F = G (M*m) /r2
F = 6.674×10−11 * 5.972*10^24*70/ (6.371*10^6)^2
= 687.37N
F = gravitational force
G = gravitational constant
m = mass of the body
M = mass of the earth
r = distance between them
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1.- A car travels 10.0 km due north, then 8.00 km due east in 30.0 minutes. Find the
car's
Distance.
Displacement (indicate the angle too)
Average speed
Average velocity
(a)The displacement of the car is 12.8m
(b)The average speed is 10.0 m/s.
(c)The average velocity is 7.11 m/s.
What is displacement and distance?Distance is the real distance an object has traveled. The shortest distance between an object's initial and final positions is called displacement. It has a scalar value. A vector quantity, that is. An body can never travel a distance of zero.
Briefing:a. The vector sum of the different displacements yields the overall displacement. The Pythagorean theorem provides the vector sum since these displacements are perpendicular.
x2 = (10.0 km)² + (8.00 km)²
x = 12.8 km.
The angle is found using
tan q = (10.0 km/8.00 km)
q = 51.3° N of E.
b. Avg. Speed = Distance/Time = (18.0 km/30.0 min)(1000 m/1 km)(1 min/60 s) = 10.0 m/s.
c. Avg. Velocity = Displacement/Time = (12.8 km/30.0 min)(1000 m/1 km)(1 min/60 s) = 7.11 m/s.
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The complete question is -
A car travels 10.0 km due north, then 8.00 km due east, the total trip taking 30.0 minutes. Find (a) the displacement of the car, (b) the average speed (in m/s), and (c) the average velocity (in m/s).
In a series connection, three lamps are available L(1), L(2) and L(3). If we take out the L(3) bulb, what happens to each of the other bulbs?
Helpp :'v
Hello..!
¿What is a series circuit?
A series circuit is a connection configuration in which the terminals of devices are connected successively, that is, the output terminal of one device is connected to the input terminal of the next device.
Problem:
In a series connection, three lamps are available L(1), L(2) and L(3). If we take out the L(3) bulb, what happens to each of the other bulbs?
If we put two lamps in a series circuit, the following can be obtained: the voltage that enters the first lamp will go out in the second lamp, that is, if we have a switch and we turn the lamps on and off, they will light up together.If we have a circuit of three lamps, the same thing happens.If the L(2) bulb burns out or we take it out, what will happen is that there will not be enough voltage for the L(1) and L(3) bulbs and that means these two bulbs will not work. If we remove the lamp L(1), not enough voltage passes to the lamp L(2) and it is not enough for the L(3), because the lamp L(2) shares voltage with the L(2)If we remove the lamp L(3) we can turn off the lamp L(2) and L(1) as there is not enough voltage to turn them on.Why does it happen?
This is because the battery voltage is divided between the components, which will therefore have a lower voltage than the battery. This means that the lamps light less when they are in series.
The answer is that if we remove the L(3) lamp, the others stop working.
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[tex]\begin{gathered}\rule{7cm}{0.01mm}\\\texttt{Bons estudos! :D}\\\rule{7cm}{0.01mm}\end{gathered}[/tex]
Answer:
This is because the battery voltage is divided between the components, which will therefore have a lower voltage than the battery.
Hope this helped
An Air Force jet flying with a speed of 335 m/s went pass an anti aircraft gun.how far is the aircraft 5s later when the gun was fired
The aircraft after 5s later when the gun was fired was at a distance of 1675m flying with a speed of 335m/s.
Air force jet was flying with a speed of 335m/s and at that time gun was fired by anti aircraft.
The formula of speed is S= distance(d)/time(t)
The unit of distance is in meters,
Speed is in meter/second
Time is in seconds
Substituting the values given in this equation
335m/s= d/5s
d= 335*5
d= 1675m
Thus, after 5 seconds from the gun fired by anti aircraft, the airforce jet will be 1675m far.
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A car of mass 500 kg is moving at a speed of 1.2m/s. A man pushes the car increasing the speed to 2 m/s. How much work did the man do
Answer:
Work:
A = 640 J
Explanation:
Given:
m = 500 kg
V₁ = 1.2 m/s
V₂ = 2.0 m/s
____________
A - ?
The work is equal to the change in the kinetic energy of the car:
A = Δ Wk
A = m·V₂² / 2 - m·V₁² / 2
A = (m/2)·(V₂² - V₁²)
A = (500/2)·(2² - 1.2²) = 640 J
Interpret information to make judgment.
The teacher is showing the class an experiment using a radioactive source. She insists on these safety precautions
a) No students may sit in the front row
b) The radioactive source is kept in a lead box when not in use.
Explain why each of these precautions is important.
These precautions are important to avoid radiation effects. Lead is powerful in shielding nuclear substances because of its physical residence.
It is dense and difficult, which means it is able to block x-rays and gamma rays from penetrating thru the cloth. whilst these radioactive waves touch the steel, they collide with the lead atoms and get dispersed
Lock radioactive stock materials and sealed assets in a secured box or a secured storage vicinity when not in use. A stock fabric is a radioactive material as provided by using the vendor and does no longer include material withdrawn from the original inventory for experimental use.
You must generally hold radioactive resources, along with any radioactive waste that's in the garage, in suitable boxes internal an appropriate store to defend against unintended harm or loss and to guard employees and the majority.
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If is the angle between and the perpendicular is 90 then the lines of forces are O a. Not sure O b. Zero O C. Maximum O d. None of the above.
If the angle between displacement and force is 90° then the lines of force are zero. The correct option to this question is B.
The work completed is zero if there is a 90 degree angle between the force and the displacement.A scalar quantity, such as work, has simply magnitude and no direction.W= F×s or W= F×scosФ, which stands for "done," is the scalar product of force and displacement.Since cos90° has a value of 0, everything multiplied by 0 also has a value of 0.Because of this, when the angle between the force and the displacement is 90, we say that work is complete. For more information on scalar quantity kindly visit to
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