The Mass of second cart , speed after impact and speed of Centre of Mass is 110kg , 1.88m/s respectively.
The Center of Mass of an object or system of objects is a location that is specified in relation to those objects. The Center of Mass of a system is the average location of all components that are weighted in accordance with their masses.
The centroid serves as the location of the center of mass for simple rigid objects with uniform densities. The Center of Mass of an object might not always lie over it. The Center of Mass of a uniform disc would be on its Center, whereas the Center of Mass of a ring would be on its Center but without any material.
For complex shapes, the Center of Mass is the singular location where the product of the weighted position vectors of all the components equals zero.
(a) To obtain the mass of the second cart m2, substitute 342 g for mass of first cart m,
1.24 m/s for vii and 0.636 m/s for vir in the equation mm l(Vi- Vid (Vi+
mm [(Vi-Vid (Vi+ Vid]
=342 g [(1.24 m/s-0.636 m/s) (1.24 m/s + 0.636 m/s)]
(342 g103 kg/1 g) [(1.24 m/s -0.636 m/s)/ (1.24 m/s +0.636 m/s)]
0.110 kg
(b) From the above observation, we conclude that, the mass of the second cart would
be 0.110 kg
(c) To obtain the speed of the second cart after impact V26, substitute 342 g for mass of first
cart m, 1.24 m/s for vii and 0.110 kg for m in the equation V2(2m1/ m tma) Vi
V2r277/ m +m2) Vi
=(2(342 g342 g+0.110 kg)) (1.24 m/s)
2342 g(103 kg/1 g)V(342 g (103 kg/1 g) +O.110 kg)] (1.24 m/s)
{2(0.342 kg)/(0.342 kg+0.110 kg)](1.24 m/s)
=1.88 m/s
From the above observation we conclude that, the sped of the second cart after impact v2r would be 1.88 m/s.
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(F=ma) How much force is required to move a 10 kilogram object 10 meters per second squared?
Question 2 options:
A. 10 - 10 = 0
B. 100 Newtons
C. 100
D. 20 Newtons
Answer:B. 100 Newtons
Explanation:
F=ma, this mean that the force is equal to the mass (10 kg) multiplied by the acceleration (10 [tex]m/s^{2}[/tex]). Plug mass and acceleration to solve: [tex]F=10*10[/tex] ∴ [tex]F=100[/tex].
The required force to move a 10 kilogram object 10 meters per second squared be 100 Newton. So, Option(B) is correct.
What is force?The definition of force in physics is: The push or pull on a mass-containing item changes its velocity.
An external force is an agent that has the power to alter the resting or moving condition of a body. It has a direction and a magnitude. The application of force is the location at which force is applied, and the direction in which the force is applied is known as the direction of the force.
Given parameters:
Mass of the object = 10 kilogram.
Acceleration of the object: a = 10 meter per second squared.
So, from Newton's 2 nd law of motion, we get:
required force = mass × acceleration
= 10 × 10 Newton
= 100 Newton.
Hence, required force to move a 10 kilogram object 10 meters per second squared be 100 Newton.
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in this current position, which coastline(s) are experiencing a daily high tide? only a only b both a and c both b and d
In this current position, Both A and C coastline(s) are experiencing a daily high tide.
What is gravitational field ?
A gravitational field is a model used in physics to explain the effects that a large thing has on the area surrounding it, exerting a force on smaller, less massive bodies. As a result, a gravitational field, which is measured in newtons per kilogram, is used to explain gravitational phenomena.
A and C are both correct answers. The beaches that experience high tides in the ideal situation are those that are more closer to or opposite to the moon. The moon's own gravitational field pulls the earth toward it, which is the cause of this. This results in high or low tides.
In essence, two high tides and two low tides are occurring simultaneously. This is because the moon exerts different forces depending on where the water is on earth.
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As blood flows away from the heart, how does overall blood pressure in vessels change? Why?
a. Blood pressure decreases because blood vessels are passive and cannot exert any force on the moving blood.
b. Blood pressure increases because vessel diameter narrows with distance from the heart, which increases the force on the blood.
c. Blood pressure increases. Otherwise, the blood would not flow up toward the heart.
d. Blood pressure decreases because of the effects of friction between the vessel walls and the moving blood.
Answer:
The correct answer is option d
Explanation:
because blood pressure decreases as blood moves away from the heart, which is why the heart needs to generate enough pressure so that blood can return to the heart. The pressure drops due to friction between the vessel's walls and the moving blood which exerts a force opposite to the flow of blood, thereby slowing it down. Option a is incorrect because some blood vessels like elastic arteries are not passive and can actually exert a force on the moving blood to help maintain pressure, nevertheless, the blood pressure does decrease due to frictional forces exerted by the vessel walls. Options b and c are incorrect because blood pressure decreases once it leaves the heart.
an earthquake near the fiji islands measured 4.6 on the richter scale. use the formula r=log(aa0) to determine approximately how many times stronger the wave amplitude a of the earthquake was than a0
The correct option regarding how many times stronger the wave amplitude A of the earthquake was than the standard wave Ao is given by:
A = 39,811 Ao.
How to obtain the ratio of A and Ao?
To find the ratio of A and Ao, which states how many times a earthquake measuring R in the Richter scale was stronger than the standard intensity Ao, we have to solve the following logarithmic function:
R = log(A/Ao)
The Richter scale of the earthquake in this problem is given as follows:
R = 4.6.
Hence the ratio of the measures is obtained as follows:
4.6 = log(A/Ao)
The power of 10 is the inverse function of the logarithm, hence if it is applied to both sides of the equation, then we can isolate the ratio A/Ao as follows:
A/Ao = 10^4.6
A/Ao = 39,811.
Applying cross multiplication, the ratio is given as follows:
A = 39,811 Ao.
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1 pts what is the speed over ground of an airplane flying at 100 km/h relative to the air caught in a 100 km/h right-angle wind? group of answer choices 100 km/h 0 km/h 200 km/h 141 km/h
What is the speed of an aircraft traveling at 100 km/h above the ground in relation to the air that has a 6 m/s right-angle crosswind at that same speed?
What really is speed in physics, and what is its measure?Speed is described as the rate at which a distance changes over time. It has a distance by time dimension. The basic value of distance with the basic unit of time are combined to form the SI unit of speed. The metric system uses meters per second as the unit of speed.
Which types of speed are there?Distance traveled in a unit of time is referred to as speed. It is the rate of movement of an object. Speed is defined as the amount of time it takes to cover a given distance. m/sec is the speed unit. The magnitude of the velocity vector is a scalar variable called speed.
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tion below. a student and the waxed skis she is wearing have a combined weight of 850 newtons. the skier travels down a snow-covered hill and then glides to the east across a snow-covered, horizontal surface. 2. determine the magnitude of the normal force exerted by the snow on the skis as the skier glides across the horizontal surface. 3. calculate the magnitude of the force of friction acting on the skis as the skier glides across the snowcovered, horizontal surface. [show all work, including the equation and substitution with units.]
2. The magnitude of the normal force exerted by the snow on the skis as the skier glides across the horizontal surface
Fn = 850N
Fg = Fn
3. The magnitude of the force of friction acting on the skis as the skier glides across the snowcovered, horizontal surface
Ff = μ . Fn
= 0.05 (850)
= 42.5 N
In physics, a force is a power that can change the motion of an item. A force can purpose an object with mass to alternate its pace. Pressure also can be described intuitively as a push or a pull.
A pressure is a push or a pull and it affects our each day lives because without force, people might not be capable of open and near stuff or lift up our arms or legs .
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2. The magnitude of the normal force exerted by the shown-covered, horizontal surface is
[tex]F_{g} = F_{N} = 850N[/tex]
3. The magnitude of the force of friction acting on the skis as the skier glides across the snow-covered, horizontal surface is
[tex]F_{f} = 42.5N[/tex]
A force is an external factor that can change the body's state of rest or motion. It has size and direction. The direction in which the force is applied is called the force direction, and the point at which the force is applied is called the force application point.
Frictional force is the force produced by two surfaces touching and sliding against each other. These forces are primarily affected by the surface finish and the amount of force required. The angle and position of the object affect the amount of frictional force.
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how is the motion of galaxies in our local group different from what we observe for distant galaxies? group of answer choices most are moving away from us. they all appear to orbit us. some are moving toward us. some are rotating very rapidly.
We notice that some distant galaxies are travelling in our direction, but the motion of the galaxies in our local group is different. A true image of the actual galaxies was used to create the composite image.
Of the Local Group. Are members of the Local Group. If not in exact scale, the galaxies have been positioned in the roughly proper orientation. Edwin Hubble was the first to recognise the Local Group at the time of the earliest observations of redshift and distance. Stars, stellar remnants, interstellar gas, dust, and dark matter are all gravitationally bonded together in a motion. The term is literally "milky," alluding to the Milky Way.
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suppose that a polar bear's foot has a luminosity of . what is the bolometric absolute magnitude of the bear's foot? what is the bolometric apparent magnitude of the foot at a luminosity distance of ? if a bolometer can detect the bear's foot at a maximum luminosity distance of , what is the maximum luminosity distance at which it could detect the sun? what is the maximum luminosity distance at which it could detect a supernova with ?
The bolometric absolute magnitude of the bear's foot is M = 68.70.
Solution:
Bear's foot has a luminosity of 2 = 10 Watt
We have to find the bolometric absolute magnitude foot of the bear
we know the bolo metric absolute magnitude formula
M = -2.5 log10 (2x) —(1) will but 78.7 x 3.83×1026 20 гое 2x = Lx → refer luminosity value of L and Lx in the equation.... (i)
M = -2.5 log10 ( 10/ 78.7 x 3.83 x 10²⁶
M = -2.5 log 10 (10/301.42 x 10²⁶)
M = -2.5 -27.48
M = 68.70
We propose the radiation temperature T as a measure of circumstellar eclipses and the evolutionary development of young stellar bodies. T is the temperature of a blackbody with the same mean frequency as the observed continuum spectrum. A bolometer is an instrument used to measure radiation by measuring the temperature rise of a blackened metal strip in one of the arms of a resistance bridge.
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two carts having masses of 1.5 kg and 0.7kg are initially at rest. they are held together by a massless spring. the spring is compressed and when released the 1.5 kg cart moves to the left with a velocity of 7 m/s. what is the velocity and direction of the 0.7 kg cart?
The velocity and direction of the 0.7 kg cart when released = 15 m/s to the right.
Law of conservation of momentumThe law of conservation of momentum explains that if two objects collide, the magnitude of the decrease in momentum on one object will be equal to the magnitude of the increase in momentum on the other object. This means, the total momentum of the system of objects before the collision is always equal to the total momentum of the system of objects after the collision.
The law of conservation of momentum can be written as follows:
m₁v₁ + m₂v₂ = (m₁v₁)' + (m₂v₂)'
We have,
Mass of the first cart = 1.5 kg ⇒m₁
Mass of the second cart = 0.7 ⇒m₂
The velocity of the 1.5 kg cart = 7 m/s ⇒ v₁'
It moves to the left, so it negative ⇒ -7 m/s
The carts initially at rest, so v₁ = v₂ = 0
And,
(m₁ + m₂) v₂ = (m₁v₁)' + (m₂v₂)'
(1.5 + 0.7) (0) = (1.5) (-7) + (0.7) v₂'
0 = (-10.5) + 0.7 v₂'
0.7 v₂' = 10.5
v₂' = 15 m/s
And 15 m/s ⇒ it is positive, the direction is to the right.
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a swan on a lake gets airborne by flapping its wings and running on top of the water. if the swan must reach a velocity of 6000 mm/s to take off and it accelerates from rest at an average rate of 35.0 cm/s2, how far will it travel before becoming airborne?
It travels 51.4 m before ascending into the air. If the swan must accelerate from rest at an average speed of 35.0 cm/s^2, it will take 6000 mm/s to attain the required speed for takeoff.
Consider the instantaneous speed to be the speed that the speedometer registers at any given moment in time, and the average speed to be the average of all the measurements taken throughout the journey. In mechanics, acceleration is the rate at which an object's velocity with respect to time changes. The vector quantity of accelerations (in that they have magnitude and direction).
The kinematics equation and the provided information lead to the conclusion that
x = V2^2 -V1^2/2a
x = 6^2/2*0.35 = 51.4m
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how many wavelengths of the radio waves are there between the transmitter and radio receiver if the woman is listening to an am radio station broadcasting at 1540 khz?
Wavelengths of the radio waves between the transmitter and radio receiver if the woman is listening to an am radio station broadcasting at 1540 Khz is 194 m.
We can deduce three important relationships from the wave equation:
Speed is directly proportional to wavelengthSpeed is directly proportional to frequencyWavelength is inversely proportional to frequencySo the relation is : v = λf
where, v = speed of wavelength
λ = wavelength
f = frequency
Given, frequency (f) = 1540Khz = 1540000hz
v = speed of light = [tex]3 * 10^{8} m/s[/tex]
Putting these values in above equation we get λ = 194m
So Wavelengths of the radio waves between the transmitter and radio receiver if the woman is listening to an am radio station broadcasting at 1540 Khz is 194 m.
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An increased concentration of what ion characterizes a solution of a base in
water?
hydroxide ion. An acid is a chemical that, when dissolved in water, raises H+.Compared to OH-, the concentration of H+ in basic solutions is low.
Which ion best describes a base solution in water?A material is said to be an acid if it dissolves in water to form H+ ions, whereas a substance is said to be a base if it dissolves in water to form OH ions.
What one quality does an acidic substance have?Ionic chemicals known as acids create positive hydrogen ions (H+) when they are dissolved in water.Acids have a sour flavor, conduct electricity, and combine with metals to form hydrogen gas when dissolved in water.
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G s w d v b k x s r only for freinds
Have a pretty heart
Answer:
what do you mean
Explanation:
PLEASE HELP! 30 POINTS!!!
Please draw or show a car moving at a constant speed
I drew the first picture myself, and the second one is the image
examine the image of the milky way. what can an astronomer visually surmise about the location of the center of the galaxy?
The center of the Milky Way galaxy is located in the southern constellation Sagittarius which is only 26,000 light-years away from the milk way.
The name of the Milky Way comes from the fact that the goddess Hera in Greek mythology sprinkled the sky with milk. Our galaxy has a different name in other parts of the world. In China it is called the "Silver River" and in the Kalahari Desert in southern Africa it is called the "Night Spine". The Milky Way is made up of a lot of dark matter, with billions of stars, gas, and dust bound together by their mutual gravitational pull. Our galaxy is about 100,000 light-years across. The location of center of the Milkyway is near the Sagittarius galaxy.
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your friend throws a rock off of a cliff straight down with an initial speed of 7.50 m/s. Using a stopwatch, you determine it takes the rock 4s to hit the ground below. How high is the cliff?
Your friend throws a rock from the cliff straight down with a speed of 7.50 m/s which takes 4 seconds to hit the ground, then the height of the cliff is 15 meters.
What is an Acceleration?The amount at which velocity, in terms of both speed and direction, varies over time is known as acceleration. If a feature or object moves faster or slower along a straight line, it is said to be moving faster. Motion on a circle accelerates even while the speed remains the same because the vector is always shifting. All those other forms of motion experience acceleration as a consequence of these processes.
Firstly, we have to find the acceleration of the rock,
Use the equation of motion to find the acceleration,
v = u + at
0 = 7.50 + (a) 4
a = -1.875 m/s².
Now, find the distance,
v² - u² = 2as
0 - 7.50² = 2 (-1.875) s
s = (-56.25) / (-3.75)
s = 15 meters.
Therefore, the height of the cliff is 15 meters.
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a baseball approaches home plate at a speed of 44.0 m/s, moving horizontally just before being hit by a bat. the batter hits a pop-up such that after hitting the bat, the baseball is moving at 57.0 m/s straight up. the ball has a mass of 145 g and is in contact with the bat for 1.70 ms. what is the average vector force the ball exerts on the bat during their interaction? (let the x-direction be in the initial direction of motion, and the y-direction be up.)
The average vector force the ball exerts on the bat during their interaction is 5151N.
Solution:
v = 57m/s
(v-u) = 55m/s -44m/s
(v-u)| = √(57m/s)² + (-44m/s)² = 71.06m/s V
dP = m (v-u) = 10.3kgm/s
F = dP/ dt = 5151N.
Average force is a vector quantity that has both magnitude and direction. During a certain time interval t, the force is expressed as a pulse change frequency. It is difficult to calculate the rate of change when the time interval is small. This is where the term average force comes into play.
The average force is equal to the mass of an object multiplied by the object's average velocity over a defined period of time. Average force is a force that is not constant but varies over time. There are nearly constant values for calculating other relevant aspects. Net force, on the other hand, refers to the total force exerted on an object.
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Patient autonomy and free choice are morally correct. O Subjective Relativism O Moral Reasoning O Social Contract Ethics O Rule Utilitarianism
The Correct option is A. Patient autonomy and free choice are morally correct Subjective Relativism.
"Subjectivism" insists that the sole source of expertise or authority is inside the belief of the individual. "Subjective relativism," then, as a philosophical position, broadcasts that everyone is his personal authority on ethical lifestyles, and the source of his very own moral standards.
A superficially popular approach to ethics in America today is called "subjective relativism"; as it occurs, it violates each of those commitments, and has the impact (commonly supposed) of creating ethics not possible. To make the commitments clearer, it is able to be profitable examining the errors of this easy dogma.
"Relativism" denotes any technique to ethics that holds that there are no absolute or unchanging ethical principles, but that the regulations that govern every scenario are to be determined by way of their relation to something else: the customs or culture of the u. s ., for example, or the dreams of the contributors. "Subjectivism" insists that the sole source of knowledge or authority is within the notion of the man or woman. '
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Which of the following expression is correct for radiation efficiency?
a) ηr=PrPl
b) ηr=PrPr−Pl
c) ηr=PrPr+Pl
d) ηr=PlPr+Pl
The ratio of power emitted to the total power applied to the antenna is known as radiation efficiency. The equation for radiation efficiency, r=PrPr+Pl, is accurate.
How is radiation efficiency determined?
The ratio of an antenna's output power to the power input into its excitation port is known as the radiation efficiency of the antenna. Here, the power loss resulting from port impedance mismatch is not taken into account. The radiation effectiveness of a lossless antenna in its ideal
What are total efficiency and radiation efficiency?
Losses in the conductor and the dielectric dissipate the power that is not radiated. Total efficiency measures how much power is incident from the network and how much is radiated, taking into account both reflection loss and energy dissipation.
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A biologist keeps a specimen of his favorite beetle embedded in a cube of polystyrene plastic. The hapless bug appears to be 2.0cm within the plastic. Part A What is the beetle's actual distance beneath the surface? Express your answer using two significant figures..
The actual distance beneath the surface of the beetle in the medium of polystyrene is 3.24cm.
What is polystyrene?Polystyrene is a synthetic polymer created from styrene, an aromatic hydrocarbon, as its monomers. Solid or foamed polystyrene are both available.
what is a refractive index?Refractive Index (Index of Refraction) is a value calculated from the ratio of the speed of light in a vacuum to that in a second medium of greater density. The refractive index variable is most commonly symbolized by the letter n or n' in descriptive text and mathematical equations.
Briefing:The equation which shows the relationship between apparent depth and actual depth is
n= d(actua)/d(apparent)
where d (actual)= actual depth of object
d(apparent)= apparent depth of object
n= refractive index of the medium
d(actual)= n*d(apparent)
d(actual)=1.62*2
=3.24cm
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A bow wave is produced when a speed boat moves O as fast as the waves it produces.
O faster than the waves it produces. O nearly as fast as the waves it produces. O none of the above
A bow wave is produced when a speed boat moves faster than the waves it produces.
The ship's speed, draught, surface waves, water depth, and bow form all influence how big the bow wave is. Large bow waves will be produced by a ship with a deep draught and blunt bow, whereas smaller bow waves will be produced by vessels that plane over the water. The field of computational fluid dynamics investigates bow wave patterns.
At the price of the ship's kinetic energy, the bow wave removes energy from the ship, slowing the ship. Therefore, decreasing the bow wave's size and enhancing the ship's fuel efficiency are two key objectives of naval architecture. This is frequently accomplished on modern ships by fitting them with bulbous bows.
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a ball of radius 0.200 m rolls with a constant linear speed of 3.60 m/s along a horizontal table. the ball rolls off the edge and falls a vertical distance of 2.10 m before hitting the floor. what is the angular displacement of the ball while the ball is in the ai
Given: radius of ball=0.200m
linear speed=3.60m/s
vertical distance covered by ball=2.10m
ω = rotational speed = v/r = 3.6/0.2 = 18 r/s
t = √(2y/a) = √(2*2.1/9.8) = 0.654 sec
angular displacement(θ) = ωt = 18*.654 = 11.783 rad
Angular Speed:
Angular displacement is defined as "the angle, in radians (degrees, rotation), by which a point or line is rotated in a specified sense about a specified axis". The angle of motion of a body in a circular orbit.
It can be measured with a simple formula. The formula is:
θ=s/r
where
θ is the angular displacement,
s is the distance traveled by the object, and
r is the radius of the circle the object travels.
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are the radiating electric field lines around a charged particle straight lines when the particle moves at constant velocity?
No, the radiating electric field lines are not around a charged particle straight lines when the particle moves at constant velocity.
An electric property that is connected with any location in space where a charge exists in any form is electric field. The electric force per unit charge is also termed as electric field. The formula for electric field is: E=F/Q
Where, The electric field is denoted by E, force by F and charge is Q.
When a charged particle is moves with a constant velocity then it is equivalent to an electric current which creates the magnetic field and electric field both around it. An electromagnetic field is generated when charged particles are accelerated. A stationary charge will produce an electric field in the surrounding space.
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a hoop of mass 1.2 kg and radius 65 cm has a string wrapped around its circumference and lies flat on a horizontal frictionless table. the string is pulled with a constant force 7 n. how far does the center of the hoop travel in 4 s? answer in units of m. what is the angular velocity of the hoop about its center of mass after 4
1.57 rad/s is the angular velocity of the hoop about its center of mass.
Solution:
Given that
Weight of hoop m = 1.2 kg
radius of hoop R = 65 cm = 0.65 m
Force = 7 N
Torque on the hoop Τ = F×R →equation (1)
Where F is applied force on hoop
We also know that
Τ = Iα[tex]R^{2}[/tex]
Where α is the angular acceleration
I is the moment of inertia of hoop
For hoop I = m[tex]R^{2}[/tex]
T = (m[tex]R^{2}[/tex])α →equation (2)
From equation 1 and 2
FR = (m)α
F = mRα
α = F/mR
α = 7/1.2×0.65 = 3.79 rad/s×s
α= 3.79 rad/s×s
We have to calculate distance covered by center of hoop in 5 s
d = (1/2)at×t →equation(3)
Relation between linear acceleration and radius is
a = αR
a = 3.79×0.65
a = 2.46 m/s×s
now from equation (3)
d = 0.5×2.46×4×4
d = 19.68 m
so the distance covered by center of hoop in 4 s is 19.68 m.
Part(2)
angular velocity of hoop
angular momentum about the center of the hoop
w = v/R
ωt = 2×π
t is given 4 s
ωt = 6.28
ω×4= 6.28
ω = 1.57 rad/s
Hence, 1.57 rad/s is the angular velocity of the hoop about its center of mass.
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which of the following descriptions corresponds to the sclera? a.) it is made of dense tissue to help protect the eye. b.) it is the part of the eye that focuses incoming light. c.) it is a substance that maintains the eye's pressure and transmits light. d.) it is located behind the lens and helps the eye maintain its shape.
The correct descriptions corresponds to the sclera is It is made of dense tissue to help protect the eye.
Hence, Option A is correct.
The sclera serves as the eyeball's supporting wall. It keeps your eyeball in shape and protects it from injury. Conjunctiva, which are clear mucus membranes that lubricate (moisturize) your eye, cover the sclera. The sclera's muscles help move your eyeball up and down and side to side.High levels of melanin, the natural skin pigment that gives skin, hair, and the iris of your eyes a darker color, can cause harmless spots outside of the iris and within the sclera.To know more about Sclera here
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280 nm thick. find (a) the wavelength and color of the light in the visible spectrum most strongly reflected and (b) the wavelength and color of the light in the spectrum most strongly transmitted. explain your reasoning.
We can see because of light, an electromagnetic wave. The visible spectrum, also known as visible light, is a tiny portion of the electromagnetic spectrum.
A spectrum of wavelengths between 400 and 700 nanometers makes up the visible light. The wavelength range is more commonly written as 7 10-7 metres to 4 10-7 metres. 590–620 nm for orange Red: 620-750 nm (400–484 THz frequency) Violet light has the highest frequency and energy since it has the shortest wavelength. Wavelengths and colours of the visible spectrum. Wavelengths that correspond to red, orange, yellow, green, blue, indigo, and violet are all included in the visible light spectrum. Although magenta is visible to the human eye, there is no equivalent wavelength because the brain uses a trick to make it appear that way.
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you are looking down at a loop and there is a magnet below the loop with the north pole facing you. as the magnet falls away from you, which way does the induced current flow in the loop?
As the magnet falls away from you the direction of induced current flow anticlockwise in loop.
Suppose we run it above the input to the coil. It is far away so there is no flux . As the magnet descends and approaches the entrance to the coil, part of the magnetic field from the magnet passes through the top few imaginary disks of the coil. The time-varying flux induces a certain EMF. This is the initial rise in the red part of the diagram. As the magnet continues to descend and enter the coil, more of its magnetic field weaves through the imaginary disks in the coil, so as it moves, the time rate of change of the total flux increases, so the EMF rises. Note that the field lines above and below the bar magnet point in the same direction.At some point the rod reaches the center of the coil. At this point, the amount of flux added to the upper half of the coil by the small movement of the magnet equals the amount of flux removed from the lower half. Therefore, at this point the EMF is zero. This is the middle point of the diagram where the EMF crosses the horizontal axis. The descending part of the red part is only an approximation to the middle part of the coil.[tex]d X E=-\frac{dM}{dT}[/tex]
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nuclear decay occurs according to first-order kinetics. a nuclide decays in 23.0 minutes from 12.9 g to 2.04 g. what is the rate constant for the nuclide?
The rate constant for the nuclide is 0.0802[tex]min^-^1[/tex]
What is decay of nuclide?
Radioactive decay is a statistical phenomenon that occurs when unstable nuclides spontaneously decay and emit particles or photons. Alpha, beta, gamma, electron capture (EC), proton emission, neutron emission, cluster radioactivity, and spontaneous fission are the decay modes.
We know that,
M(t) = M e^-λt
Where,
M(t) = Mass of nuclide after decay of time t
M = Mass of nuclide after decay
λ = rate constant
t = time for decay
e^λt = M / M(t)
taking ln on both side:
λt = ln[tex](\frac{M}{M(t)})[/tex]
λ = [tex]\frac{ln(\frac{M}{M(t)})}{t}[/tex]
Given:
t = 23 mins
M = 12.9 gms
M(t) = 2.04 gms
Subsituting the values
λ = [tex](\frac{ln(\frac{12.4}{2.04})}{23}) min^-^1[/tex] = 0.0802[tex]min^-^1[/tex]
The rate constant for the nuclide is 0.0802[tex]min^-^1[/tex]
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Why do we use steam distillation to isolate eugenol rather than purify it by simple distillation?
Because it has a boiling point of about 250 degrees Celsius, eugenol is isolated using steam distillation rather than ordinary distillation.
By using selective boiling and condensation, typically inside of a device called a still, distillation, also known as classical distillation, is the process of removing the constituents or substances from a liquid mixture. Dry distillation is the process of heating solid materials to produce gaseous products (which may condense into liquids or solids); this process may involve chemical alterations like destructive distillation or cracking. In either case, the process takes advantage of variations in the relative volatility of the mixture's constituents. Distillation can produce an almost entirely complete separation (resulting in nearly pure components), or it can be a partial separation that boosts the concentration of particular components. Distillation is a fundamental unit activity in industrial settings, although it is a physical separation process rather than a chemical reaction.
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a laser beam passing from medium 1 to medium 2 is refracted as shown. which is true?
The laser beam when passes from medium 1 to medium 2 shows the relation n1 > n2 that is option B is correct.
The laser beam in the attached figure when passing from medium 1 to medium 2 bends away from the normal. This means that the speed of the light beam is increased when it passes from medium 1 to medium 2. This means that the light beam is travelling from a slightly denser medium to slightly rarer medium as it is the property of light beam when it travels from denser to rarer medium it bends away from the normal. The refractive index of denser medium is more than that of the refractive index of rarer medium. So, we can conclude that n1 > n2.
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Complete Question:
A laser beam passing from medium 1 to medium 2 is refracted as shown. which is true?
a) n1 < n2
b) n1 > n2
c) there is not enough information to compare n1 and n2
