[tex] \frac{1}{v} - \frac{1}{u} = \frac{1}{f} [/tex]
[tex] \implies \: \frac{u}{v} - 1 = \frac{u}{f} \: \: \: ......(i)[/tex]
[tex] \text{As} \: m = \frac{v}{u} = n \: \: \: \: \: \: \text{(given)}[/tex]
[tex] \implies \frac{u}{v} = \frac{1}{n} [/tex]
[tex] \text{Substituting the above values in Eq. (i), we get}[/tex]
[tex] \implies [\frac{1}{n} - 1 ] = \frac{u}{f} [/tex]
[tex] \implies \: u = [ \frac{1 - n}{n} ]f[/tex]
Hope This Helps :)!!!Which is the Colour of cleanliness
How does gravity cause the planets to move in a circle around the sun?.
Answer:
The sun's gravity pulls the planet toward the sun, which changes the straight line of direction into a curve. This keeps the planet moving in an orbit around the sun. Because of the sun's gravitational pull, all the planets in our solar system orbit around it.
give 3 examples that gives distance
Answer:
d(P1,P2) = (x2 x1)2 + (y2 y1)2 + (z2 z1)2. This can be proved by repeated application of the Pythagorean Theorem. Example The distance between P1 = (2,3,1) and P2 = (8,5,0) is d(P1,P2) = (8 2)2 + (5 3)2 + (0 1)2 = 36 + 64 + 1 = 101 10.05.
Explanation:
The __________ is located under the forebrain and midbrain. A. forebrain B. midbrain C. hindbrain D. brainstem
Answer is the hind brain
The brainstem is located under the forebrain and midbrain. Therefore option D is correct.
The brainstem is located under both the forebrain and midbrain. It is a vital component of the central nervous system that connects the brain to the spinal cord and controls many essential functions such as breathing, heart rate, and digestion.
It consists of three main regions: the medulla oblongata, pons, and midbrain. The forebrain, midbrain, and hindbrain together constitute the major divisions of the brain.
The hindbrain is positioned below the midbrain and includes structures like the cerebellum, pons, and medulla oblongata.
The brainstem, specifically its lower regions, is responsible for relaying information between the brain and the rest of the body while regulating critical bodily functions.
Therefore option D is correct.
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You are observing a star about 95 trillion km (10 light-years) away. How old is the most recent information you can get about this star
The most recent information you can get about this star is near 10 years old.
What is a light-year?A light-year is a distance unit, that represents the distance that light can travel in one year.
Now, we know that nothing can move faster than the speed of light, and the only information that we can get about this star comes through light (electromagnetic waves). And these waves travel at the speed of light.
So these waves would need at least 10 years to travel from the start to the satellites that can detect them, this means that the most recent information that you can get about this star is actually 10 years old.
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Can light energy from the sun be used to directly fuel cellular work?.
Answer:
None of the light energy from the sun can be used directly to fuel cellular work. First it must be captured in the bonds of a molecule called adenosine triphosphate (ATP).
Explanation:
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1.) Define force? Give an example.
2.) Define Newton's 1st Law? Give an example.
3.) Define Newton's 2nd Law? Give an example.
4.) Define Newton's 3rd Law? Give an example.
Answer:
1.) strength or energy to do an action or movement
2.)an object will jot change its motion unless acted on by an unbalanced force
A car with a mass of 1,600 kg has a
kinetic energy of 125,000 J. How fast is it moving?
Answer:
Hope This will help you
From the calculation, the kinetic energy of the moving car is 12.5 m/s.
What is kinetic energy?The term kinetic energy refers to the energy that a body possesses as a result of its motion. It is the energy of a moving body.
Now we know that the kinetic energy is 125,000 J and the mass is 1,600 kg. Now;
KE = 1.2 mv^2
v = √2KE/m
v = √ 2 * 125000/1600
v = 12.5 m/s
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Activity of integration Most of the people in a certain village called Bileafe where much tobacco is grown bought vehicles after tobacco sales. However, no sooner than later many of the vehicles either broke down or they were parked at home since fuel became expensive to afford. As a student of chemistry, develop a message for the owners of the cars in this village explaining why the vehicles should be kept well even if they are spoilt, where they should be kept, and what kind of change they will undergo if not properly kept. You can use the resources to help you develop the message.
They will be instructed to park their cars in a cool dry environment in order to prevent rusting of the vehicle parts.
What is Rusting?This is defined as a chemical change in which Iron reacts with Oxygen to form a new substance called Iron oxide.
Iron oxide is usually brownish in color and further corrodes the metal parts. It is also referred to as a Chemical change in chemistry due to new substance being formed.
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Electric charge only
has an amount. That makes it a
Answer:
that makes it a scalar quantity
The electric charge only has an amount that makes it a scalar quantity.
What is scalar quantity?A scalar quantity is a type of quantity that can be described by magnitude only. Scalar quantity has no direction and can be represented by magnitude only.
Electric charge with only amount can be said to be a scalar quantity, because it can be completely described by its magnitude only.
Thus, the electric charge only has an amount that makes it a scalar quantity.
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what is international system of units?
If the frequency of a wave is 400hz and it’s wave length is2.5 what is the velocity ?
Which picture correctly shows the path of the reflected light ray?
Select one:
a. A
b. B
c. C
d. D
In my opinion it's picture D
* A 5 kg ball is dropped from a height of 20 m. How much kinetic energy will it have 10 m above the ground? a. 490 J b. 392 J C. 480 J d. 100 J
Answer:
A. 490
Explanation:
soln
mass = m = 5kg
Height = h = 10m
Acceleration due to gravity = g = 9.8ms²
K.E = 1/2 × mass × (velocity)²
Recall from equations of motion
v² = u² + 2gh
Therefore,
K.E = 1/2 × mass × ( u² + 2gh)
K.E = 1/2 × 5 × ( 0² + 2×10×9.8)
K.E = 1/2 × 5 × 196
K.E = 1/2 × 980
K.E = 490 Joules
A 500-ml sample of argon at 800 torr has its absolute temperature quadrupled. If the volume remains unchanged what is the new pressure?.
Answer
P V = C R T natural gas law
P1 V1 = C R T1
P2 / P1 = T2 / T1 = 4 other numbers remain constant and cancel
P2 = 4 P1
The new pressure is 4 times as great.
The new pressure is 4 times greater.
Argon:The chemical element argon has the atomic number 18 and the symbol Ar. It is a noble gas that belongs to group 18 of the periodic table.At 0.934 percent, argon is the third-most abundant gas in the Earth's atmosphere (9340 ppmv). It is 23 times as abundant as carbon dioxide (400 ppmv), more than 500 times as abundant as neon, and more than twice as abundant as water vapor, which averages around 4000 ppmv but varies substantially (18 ppmv). The most prevalent noble gas in the crust of the Earth, argon makes up 0.00015 percent of the crust.Torr:The torr is an absolute scale pressure measurement that is equal to precisely [tex]\frac{1}{760}[/tex] of a standard atmosphere. As a result, [tex]\frac{101325}{760}[/tex] pascals is exactly one torr. Although historically one torr was meant to be equivalent to one "millimeter of mercury," later redefinitions of the two units resulted in a minor difference.Solution -
[tex]PV=CRT[/tex] (Natural gas law)
[tex]P1V1=CRT1[/tex]
[tex]\frac{P2}{P1} =\frac{T2}{T1} =4[/tex] (Other members remain constant and cancel)
[tex]P2=4P1[/tex]
Therefore, the new pressure is 4 times greater.
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How was Mendeleev first periodic table like the periodic table today
Answer:
He began organizing the known elements according to their atomic weights and chemical properties.
Explanation:
The r force is the overall force. If two forces are acting in the same direction, the resultant force is the s of all the forces.
please help me fill in the two blanks were r and s is
The resultant force is the overall force. If two forces are acting in the same direction, the resultant force is the sum of all the forces.
Happy to help!
The resultant force is the overall force. If two forces are acting in the same direction, the resultant force is the sum of all the forces. Hence the blanks where r and s are resultant force and sum respectively.
What is force?Force is an external factor, which aids a body to change from the state of motion or rest. There are different types of forces namely, magnetic force, gravitational force, nuclear force, frictional force etc.
The unit of force is newton. According to Newton's second law of motion, the force acting on a body is the product of its mass and acceleration. Thus we have the equation F = ma.
If a body experience's different forces or the same forces in different direction the net force in after all balancing is called the resultant force.
Now, if two forces are acting on the same direction, the resultant force will be the sum of these forces.
Therefore, the blanks in the place of r and s are resultant and sum respectively.
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An object in projectile motion will follow which path?
curved up from the ground
curved down toward the ground
straight down toward the ground
straight up from the ground
An object in projectile motion will follow curved up from the ground, curved down toward the ground. The correct options are (a) and (b).
An object in projectile motion will follow a curved path. Specifically, it will follow a curved trajectory that is symmetric around the highest point of its flight. The object will initially move horizontally while also experiencing vertical motion due to the force of gravity. As a result, the object's path will be a parabolic curve.
So, the correct answer is Curved up from the ground (when initially launched) and curved down toward the ground (when it reaches the highest point and descends). The correct options are (a) and (b).
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A cyclist is travelling at 4.0 m/s. She speeds up to 16 m/s in a time of 5.6 s. Calculate her acceleration.
Answer:
acceleration: 2.14 m/s²
Explanation:
acceleration = (final velocity - initial velocity ) ÷ time taken
Here the final velocity is 16 m/s, initial velocity is 4 m/s, time taken is 5.6 s
acceleration = ( 16 - 4 ) ÷ 5.6
→ 12 ÷ 5.6
→ [tex]\left[\begin{array}{ccc}\frac{15}{7}\end{array}\right][/tex] m/s² or 2.14 m/s²
A ball of mass 1.84 kg is dropped from a height y, =
1.49 m and then bounces back up to a height of y, = 0.87 m.
How much mechanical energy is lost in the bounce?
Help
Answer:
11.408 joules
Explanation:
soln
From the question above
Mass of ball = m = 1.84kg
Height of ball when dropped = 1.49m
Height of ball when it bounces back up = 0.87m
Recall
Potential energy (P.E) = mass × height × g
Kinetic energy(K.E) = 1/2 × mass × (velocity)²
Mechanical energy = K.E + P.E
M.E lost = M.E when ball dropped – M.E when ball bounces back up
Recall that g = acceleration due to gravity = 10ms²
P.E/K.E when ball dropped = 1.84 × 1.49 × 10
P.E/K.E when ball dropped = 27.416J
P.E/K.E when ball bounces back = 1.84 × 0.87 × 10
P.E /K.Ewhen ball bounces back = 16.008J
Since P.E = K.E
M.E when ball dropped = 27.416J
M.E when ball bounces back = 16.008J
Therefore,
M.E lost = 27.416 - 16.008
M.E lost = 11.408Joules
Random Question
A magician comes onto the stage he shows the judges he has a card he shows both sides while grinning, he grabs a pen and it goes right through! He takes it back out and the card has no rip or tear and it looks just the same! How did he do it?
Answer:
B
Explanation:
The Magician pulled a rabbit out of his hat
What does it mean when it is said that
the action force and reaction force are
both "equal and opposite"?
A. The direction of force is opposite, but the magnitude of
force is equal.
B. The magnitude of force is opposite, but the magnitude of
force is equal
C. Both the direction of force and the magnitude of force
are equal.
D. Both the direction of force and the magnitude of force
are opposite
Answer: A
Explanation: The direction of force is opposite but the magnitude of force is equal.
A horse travels at 12 km/hour. How long will it take to travel 18km?
How will you show the presence of infrared rays in the electromagnetic spectrum?
Answer:
In the near infrared (NIR) and the short-wave infrared (SWIR) spectrums, we measure the reflectivity of objects. Thus, using a specific lighting working in an active infrared spectrum, we can capture the rays reflected by the object and produce its reflectrogram.
Explanation:
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Frosted glass is an example of which type of material?
it is an example of a translucent object
why a bulb contains coiled wire?
Answer:
The filament is coiled to give it greater length. If the filament was just a piece of straight wire it would only give out a small amount of light. By curling the wire into a coil, a very long length of wire can be stored in a small space. When electricity flows through the coil it can give out much more light.
To scientists, amount of work done depends on...
Select one:
a. force applied to an object and distance it moved.
b. speed of an object and distance it moved.
c. mass and acceleration of an object.
d. weight and velocity of object.
Answer:
Option A
Force applied to an object and distance it moved.
Explanation:
The size of the force applied and the distance something moves.
W = F • d
-TheUnknownScientist 72
PLEASE HELP ME!!!!! You draw an arrow from left to right on a piece of paper and place the paper well behind a glass of water. You observe that the direction of the arrow appears reversed behind the water glass!
What conclusions can you draw from this experiment?
(1 point)
The arrow appears reversed because light is bent as it enters the water, and again as it exits. The two light paths cross, making the direction of the arrow appear crossed.
The arrow appears reversed because light is bent as it enters the water, and again as it exits. The two light paths cross, making the direction of the arrow appear crossed.
The arrow appears reversed because light is reflected by the glass of water. Light is reflected so much that the arrow appears to face the other direction.
The arrow appears reversed because light is reflected by the glass of water. Light is reflected so much that the arrow appears to face the other direction.
It is not possible for the arrow to appear reversed behind a glass of water. The most likely explanation is that a mistake was made during the experiment.
It is not possible for the arrow to appear reversed behind a glass of water. The most likely explanation is that a mistake was made during the experiment.
The arrow appears reversed because light is split as it enters the water, and combines again as it exits the water. When the light re-combines, the arrow appears to be flipped.
Answer:
I think it is the first one: The arrow appears reversed because light is bent as it enters the water, and again as it exits. The two light paths cross, making the direction of the arrow appear crossed.
Explanation:
PLEASE HELP
Approximate grams per spoonful:
g
why is it that; the greater the area, the lesser the pressure applied?
Answer:easier for a sharp pin to penetrate a piece of cardboard than a blunt one
Explanation:when the same force is used. A solid resting on a horizontal surface exerts a normal contact force equals to its weight.