(a) The initial velocity in component vector form is (14.38 i + 10.83 j), m/s.
(b) The velocity of the ball as it lands in component vector form is (14.38 i + 10.88 j), m/s.
(c) The range of the ball is 31.78 m.
(d) The assumption made is that the frame of reference is at ground level.
What is velocity?Velocity is described as the directional speed of an object in motion as an indication of its rate of change in position as observed from a particular frame of reference and as measured by a particular standard of time.
The component form for the velocity are:
Vx = V cosθ
Vy = V sinθ
We then have Vx = 18 m/s x cos(37) = 14.38 i, m/s
Vy = 18 m/s x sin(37) = 10.83 j, m/s
Vi= (14.38 i + 10.83 j), m/s
Using projectiles, we can get the other values
t = (Vsinθ)/g
working out t = 1.11 secs
The final vertical velocity of the ball is given as:
Vf = Vh + gt
where;
Vf is the final vertical velocity
Vh is the velocity of the ball at maximum height = 0
t is time to reach maximum height
Vf = 0 + 1.11 x 9.8
Vf = 10.88 m/s
The velocity of the ball in component vector form is written as:
Vf = (Vxf + Vyf), m/s
Vf = (14.38 i + 10.88 j), m/s
The range of the ball is calculated as;
Range = (V²sin2θ)/g
Range = 31.78 m
Therefore the assumption that have been made about the frame of reference is that it was projected from a ground level and returned to the same ground level.
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(a) Find an equation for the length L of a refracting telescope in terms of the focal length of the object Fo and the magnification m. (b) A knob adjusts the eyepiece forward and backward. Suppose the telescope is in focus with an eyepiece giving a magnification of 50.0. By what distance must the eyepiece be adjusted when the eyepiece is replaced, with a resulting magnification of 1.00x10^2? Must the eyepiece be adjusted backward or forward? Assume the objective lens has a focal length of 2.00m.
The equation of length is fo(1-1/M) and distance used for adjustment of eye piece is 20cm.
A refracting telescope's magnification is calculated by dividing the objective's focal length by the eyepiece's focal length.
e. g. A reflecting telescope has a 5 cm eyepiece and an objective with a focal length of 70 cm. It will be magnified by 70 / 5 = 14.
a) L = fo + fe
M = -fo / fe========> fe = -fo / M
L = fo - fo/M = fo*(1-1/M)
b) M = 50 = -fo/fe
L1 = fo*(1-(1/50)) = 2*(1-(1/50)) = 1.96 m
L2 = fo*(1-(1/50)) = 2*(1-(1/100)) = 1.98 m
d = L2 - L1 = 0.02m = 20 cm
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a refracting telescope has an objective lens of focal length 15.4 in and eyepieces of focal lengths 18 mm, 24 mm, 36 mm, and 85 mm.
The largest angular magnification is 0.9 of the refracting telescope has an objective lens of focal length 15.4 in and eyepieces of focal lengths 18 mm, 24 mm, 36 mm, and 85 mm.
The formula for angular magnification is M = F_o/F_e, where F_o is the focal length of the objective lens and F_e is the focal length of the eyepiece.
The largest angular magnification is achieved with the shortest focal length eyepiece, which in this case is 18mm.
Plugging the values into the formula, we get M = 15.4/18 = 0.86.
Expressing the answer to two significant figures, we get M = 0.9.
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The complete question is written here
a refracting telescope has an objective lens of focal length 15.4 in and eyepieces of focal lengths 18 mm, 24 mm, 36 mm, and 85 mm.What is the largest angular magnification you can achieve with this instrument?Express your answer to two significant figures.
What is a balanced force?
A. All applied forces create an equilibrium.
B. All applied forces equal gravity.
C. It keeps an object moving at a changing velocity.
D. When there is no change in direction.
A balanced force is referred to as when all the applied forces create an equilibrium which is therefore denoted as option A.
What is a Force?This is referred to as an influence that can change the motion of an object and the formulas is F= ma where m is the mass and a is acceleration of the body involved with its unit being Newton.
Equilibrium on the other hand is referred to as as a state in which all the individual forces and torques exerted upon an object are balanced and there is no movement of the body in any type of direction in this type of scenario.
Balanced force is referred to as a situation in which all the applied forces which creates an equilibrium as denoted above which is therefore the reason why option A was chosen as the correct choice.
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large dorm, half the rooms are randomly wired for high-speed internet connections (the treatment group), and final course grades are collected for all residents. Which of the following pose threats to internal validity, and why? a. Midway through the year all the male athletes move into a fraternity and drop out of the study (their final grades are not observed). b. Engineering students assigned to the control group put together a local area network so that they can share a private wireless internet connection that they pay fo
Answer:
HAHAHAHAHAHAHAHAH
Explanation:
HAHAHAHAHAHAHAHAHAHAHAHAHAHAHAHAHAHAHAHAHAHAHAHAAHAHAHAHAH
At a saltwater aquarium, a ray of light strikes the glass, from the air, at an angle of 32° with respect to the normal. The glass has an index of refraction of 1.53. The saltwater has an index of refraction of 1.33. The air has an index of refraction of 1.000293. What is the angle of refraction of the light as it enters the water from the glass?
20.273° is the angle of refraction of the light as it enters the water from the glass.
What is angle of refraction?Snell's law states that the angle of refraction, θr, is proportional to the angle of incidence, θi and the ratio of the refractive indices of the two media that comprise the interface. The angle θr=θi and no refraction occur when the mediums have equal refractive indices.
Given that,
Saltwater has an index of refraction = 1.33
The glass has an index of refraction (n₁) = 1.53
Air has an index of refraction (n₂) = 1.000293.
According to Snell's law:
n₂/n₁ = sin θ₁ / sin θ₂
or, 1.000293 / 1.53 = sin θ₁ / sin (32°)
or, 0.6537 = sin θ₁ / 0.52992
or, 0.3465 = sin θ₁
or, θ₁ = sin⁻¹ (0.3465)
or, θ₁ = 20.273°
So, 20.273° is the angle of refraction of the light as it enters the water from the glass.
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Imagine a table that has a hole drilled through the center. Through this hole is a string that connects one mass that hangs under the table, to a mass that is on top of the table and spinning. mass M weighs 10kg, mass m weighs 5 kg, and the radius, R, of the circle mass M, traces out is 50cm.
1. Solve for Force centripetal
2. At what speed does the mass M need to rotate in order to keep mass m suspended
Answer: The speed at which mass M needs to rotate in order to keep mass m suspended is 0.7071067811865475 m/s.
Explanation:
an alien spacecraft is flying overhead at a great distance as you stand in your backyard. you see its searchlight blink on for 0.190 s s . the first officer on the craft measures the searchlight to be on for 20.0 ms m s . for related problem-solving tips and strategies, you may want to view a video tutor solution of time dilation at 0.99c.
The time measure as 20 ms is the proper time. The speed of aircraft relative to Earth is 0.89 X c m/s.
Part A:
The time measured by the searchlight of 20 ms is the proper time Because this time is measured by a rest clock with respect to space craft.
Part B:
Speed of the aircraft = v
Initial time = t = 20 ms = 0.020 s
Final time = t' = 0.190 s
Speed of light = c
Using Time dilation equation,
= t' = t / √( 1 - (v/c)²)
= √( 1 - (v/c)²) = t / t'
= ( 1 - (v/c)²) = ( t / t' )²
= ( 1 - (v/c)²) = ( 0.02 / 0.190 )²
= (v/c)² = 1 - 0.011025
Finding roots on both sides,
= (v/c) = 1 - 0.20/0.19
= 0.89 = (v/c)
= v = 0.89 X c m/s
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The complete question:
An alien spacecraft is flying overhead at a great distance as you stand in your backyard. You see its searchlight blink on for 0.150 s . The first officer on the craft measures the searchlight to be on for 18.0 ms . Part A Which of these two measured times is the proper time? 0.150 s 18.0 ms Part B What is the speed of the spacecraft relative to the earth, expressed as a fraction of the speed of light, c?
Discussion Topic
Whenever important physicists are discussed, Galileo Galilei, Isaac Newton, and Albert
Einstein seem get the most attention. However, as you've seen, Galileo formulated or
refined many of his discoveries and theories based on the findings of others who came
before him, including Aristotle and Nicolaus Copernicus. Likewise, Newton claimed that
he "stood on the shoulders of giants" in developing his work. You've just begun your stud
of physics, but from what you know (or can research and find out) take a position that
Galileo, Newton, and Einstein deserve this special recognition. Alternately, identify a
physicist that you think has been overlooked, compared to these three. Do some
research and support your opinion with credible arguments.
This particular honour belongs to Galileo, Newton, and Einstein since they each contributed significantly new ideas in addition to expanding upon and furthering the knowledge of those who came before them.
Briefing:
Galileo Galilei, Isaac Newton, and Albert Einstein always seem to garner the most attention when significant physicists are addressed. As you've seen, though, many of Galileo's discoveries and hypotheses were developed or modified using the findings of those who came before him, including Aristotle.
Galileo Galilei, Isaac Newton, and Albert Einstein always seem to garner the most attention when significant physicists are addressed. However, as you've seen, a lot of Galileo's discoveries and theories were developed or improved upon using the knowledge of those who came before him, including Aristotle.
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Kenneth is football player who lifts weights to build his strength for games. He begins drinking with his friends. At first it's only sometimes, but soon he
does this every weekend and sometimes during the week. His sister Margaret wants to get him to quit. What area would be BEST for Margaret to
focus on to convince Kenneth to quit drinking?
A aerobic fitness
B mental stimulation
C muscle development
D heart health
The mental stimulation area would be BEST for Margaret to focus on to convince Kenneth to quit bad habit.
What is mental stimulation?Mental activity plays a significant role in every stage of life, from birth to death. There are numerous benefits of mental stimulation, including those that are protective, emotional, physical, psychological, and neurological.
Anything that stimulates, activates, or enriches the mind is said to be engaging the mind or stimulating the nervous system. Thoughts can offer internal stimulation, while the environment might provide external stimulation. Education, employment, social interaction, and leisure activities are all significant sources of mental stimulation.
Hence, Margaret should concentrate on increasing Kenneth's mental stimulation in order to persuade him to change his bad habit.
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A transverse wave of amplitude 3.0 cm, frequency 5.0 Hz, and speed 2.0 m/s travels on an infinitely long Slinky. How far apart are the two nearest points on the Slinky that at one particular time both have the maximum magnitudes of displacements from their equilibrium positions?
A transverse wave of amplitude 3 cm, frequency 5 Hz, speed 2 m/s travels on an infinitely long silky. The distance between the two nearest points is 0.4 m.
Given that, amplitude = 3 cm
Frequency = 5 Hz
Speed = 2 m/s
As the wavelength is the measure of distance between two crests or two troughs in a wave, the peaks should be identical.
The distance between the two near-points on the silky is calculated by applying wave equation as follows:
v = f * λ
where, v is the speed
f is the frequency
λ is the wavelength
Making λ as subject, we have, λ = v/f
Substituting the values in the above formula, we have,
λ = v/f = 2/5 = 0.4 m
Thus, the wavelength is found to be 0.4 m.
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electronic rack-and-pinion systems use an electric motor to pump the hydraulic fluid through the hoses.
Electric – power – steering rack. Let's break it down one by one. “Steering rack” is a set of rack and pinion gears that is connected to both front wheels. When we turn the steering wheel, the rack and pinion gears engage in a way that shifts the car wheels to the left or right, which steers the car
Electric systems do not require power steering fluid to work and only draw power when needed, making them more fuel efficient than hydraulic systems. A rack gear and a pinion gear that transmits the steering wheel rotation inside of your car to tire movement outside of your car.
By providing power assist via hydraulic pressure, this system delivers a naturally smooth steering feel and, thanks to the flexibility of control allowed by electric power, offers more precise steering power characteristics.
Hydraulic power steering systems tend to be heavier than electrical systems. Hydraulic power steering systems require hydraulic fluid, which must be changed from time to time. Electrical systems don't use any fluid, so you don't have to do as much maintenance.
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A teacher wants to determine how well students can discuss ways in which related concepts differ. Which of the following is most appropriate for this objective?
Group of answer choices
True-false
Matching
Multiple choice
Short essay
Short essay is most appropriate for this objective because it allows
students to discuss ways in which related concepts differ in their own
words. True-false, matching, and multiple choice formats do not
typically provide as much opportunity for in-depth discussion.
The weight of a synthetic ball varies directly with the cube of its radius. A ball with a radius
of 2 inches weighs 2.00 pounds. Find the weight of a ball of the same material with a
3-inch radius.
The weight of a ball of the same material with a 3-inch radius is
(Type an integer or a decimal.)
lb.
The weight of a ball of the same material with a 3-inch radius is 12.15 pounds.
What is weight?All things close to Earth are constantly subject to the force known as weight. All items are pulled downward toward the Earth's center by the gravity of the planet.
As a result, kilograms times meters per second squared, which is equivalent to a newton, can be used to quantify weight in the SI (N).
Weight can be expressed using the formula W = m*g, where weight can be expressed as kg * m/s2, which is equivalent to N, since weight is the force that gravity extends on a mass.
Let w equal the ball's weight in pounds.
r is the spherical ball's radius in inches.
The constant, C, converts the connection into a formula and ensures that the units are calculated correctly.
So, w = C r 3.
First determine C using the 2 "example: C= w/r3 = 3.60/(2)3 = 3.60/8 = 0.45
Now that you know C, you can determine the larger 3's weight "ball:
w = 0.45 r3 = 0.45
3 = 0.45 (27) = 12.15 pounds
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According to the position vs time graph below, at what time did David first start to move in a positive velocity (forward direction)?
A. At 3 minutes
B. At 0 minutes
C. At 7 minutes
D. At 5 minutes
According to the given position vs time graph, at the 5th minute, David first starts to move at a positive velocity in the forward direction. Therefore, option D is correct.
What is the Position Time Graph?The position vs time graph can be defined as where the instantaneous position is plotted on the y-axis and the time is plotted on the x-axis is called a Position vs. time graph.
In the position vs time graph, draw an independent variable on the x-axis while dependent variables will be plotted on the y-axis. The dependent variable should be dependent on the independent variable.
In the given graph the slope of the graph is positive after the fifth minute. The slope of the position vs time graph is representing the velocity. Therefore, David first starts to move at a positive velocity at 5 minutes.
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Physical properties can be and Some physical properties of matter such as and are observed using the fives senses.What are the ways to tell if a chemical change has occurred due to a reaction? List and describe them in complete sentences. (Hint: there are five that we read about.
The ways to tell if a chemical change has occurred due to a reaction include the following below:
Color Change.Production of an odor.Evolution of a gas etc.What is a Chemical change?This is a term which is referred to as the type of reaction which occurs when the substance's composition is changed and also involves the substance combining with another to form a new substance through the process of bond formation etc.
As a result of a new substance being produced during the reaction, there are certain changes in the color and odor due to the new substance being formed.
The evolution of a gas and the presence of precipitate both depicts the formation of a new substance which are therefore the ways to tell if chemical change occurred in the reaction.
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In a generator, the _____ permits part of the current that normally flows through the series field to flow through the resistor. series field shunt rheostat.
In a generator, the series field shunt rheostat allows part of the current that normally flows through the series field to flow through the resistor.
The field rheostat is in series connected with the shunt field circuit. This provides the simplest method of controlling the terminal voltage of a dc generator.
Shunt motor is a particular kind of DC motor which runs at a constant speed. But using field and armature rheostat control method we can make it more versatile. Field rheostat provides above normal speed and armature rheostat provides wide range of below normal speed.
An ammeter and a rheostat are connected in series and a voltmeter is connected in parallel with battery.
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Calculate the atmospheric pressure.
The atmospheric pressure of the sample when depth, density and total pressure is given is 62.5 x 10⁸ Pa.
What is atmospheric pressure?Atmospheric pressure is defined as a unit of measurement equal to the normalized atmospheric pressure at sea level and 15 °C. Because it is determined using a barometer, atmospheric pressure is also referred to as barometric pressure.
It can be expressed as
P = hрg
P = 25 x 2.5 x 10⁵ x 1000
P = 62.5 x 10⁸ Pa
Thus, the atmospheric pressure of the sample when depth, density and total pressure is given is 62.5 x 10⁸ Pa.
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the basic mental abilities that go into learning and understanding any subject have been classified as
fluid intelligence
The fundamental mental capacities required to acquire and comprehend any subject have been categorized as fluid intelligence.
Human intelligence includes the abilities to learn from experience, adapt to new situations, understand and manage abstract concepts, and use information to change one's environment. Using longitudinal research designs the same people's behavior is examined over time . For instance, if we were to examine the connection between intelligence and aging, a scientist might do a longitudinal research to see whether 20-year-olds lose intelligence as they age. Gardner's idea was criticized by Psychologists and teachers. Gardner's concept of intelligence, according to these opponents, is too wide, and his eight different "intelligences" only represent skills, personality traits, and other characteristics.
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A block of mass 2kg which is placed on a horizontal surface is pulled by a horizontal force of 50N. What maximum coefficient of static friction is required?
gravity=10m/s2
Answer:
The maximum coefficient of static friction required to pull the box will be 0.4.
Explanation:
We have given a box of mass 2 kg and Force of 50 N. (g=10m/s)
As we know,
Coefficient of static friction: μ = F/N (I)(F=ma, a= g)
Putting value in equation (I), we get
μ= mg/
μ=2×10/50
μ=0.4
Suppose the initial position of an object is zero, the starting velocity is 3 m/s and the final velocity was 10 m/s. The
object moves with constant acceleration. Which part of a velocity vs. time graph can be used to calculate the
displacement of the object?
The integration of the area under the curve would give the displacement.
What is the displacement?We know that the displacement can be defined as the change in the position of an object in a specified direction. Now we know that the velocity time graph is the kind of graph that shows change in the velocity of the object with time.
Now we can get the displacement of the object as the integral of the area under the curve of the graph and this is going to help us to obtain the entire displacement of the journey of the object.
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A car makes a lab around a 50 m loop in 9 seconds. What his their velocity?
Answer:
It will 50 m time Taken to complete one round time taken to complete complete one one round, it will nine second. So distance covered in, covered in in one ground equal two prior to that is equal to pi In 250, 1200 five. Now everybody spirit average period equal fear equal distance upon
Janelle pushes a box filled with books across the floor of her room. She then add some books to the box and pushes it with the same force across the same floor. How will the motion of the box change?
A . It will move slower because as mass increases, the force of friction between the surface also increases.
B. It will move faster because as mass increases, the force of friction between the surfaces decreases.
C it will move with the same speed because the mass of the object does not affect the force of friction between the surfaces.
D. It will move with the same speed because the same force was applied on the box in both of the cases
The motion of the box changes as it will move slower because as the mass increases, the force of friction between the surface also increases. Thus, the correct option is A.
What is the force of friction?Force of friction is a type of contact force. Frictional force is the force which resists the motion when the surface of one object comes in contact with the surface of another object. Example of frictional force is the force of friction between two stones which are rubbed with each other. The SI unit of frictional force is Newton (N).
Frictional force can be calculated by the formula:
f = μN
where, f = frictional force,
μ = coefficient of friction,
N = Normal force
The mass of the objects (normal force - mg) which are in motion is directly proportional to the magnitude of the frictional force. As more books are added to the box while the force of push remains same the motion of the box will change and it will move slower because as mass increases, the force of friction between the surface also increases.
Therefore, the correct option is A.
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A worker pushes a lawn mower with a force of 280 N. If the handle makes an angle of 40.0° with the lawn, what is the force pushing the lawn mover forward?
let x be the number of rolls of a die needed for all 6 numbers to turn up. calculate both the expected value and the variance of x.
For x be the number of rolls of a die needed for all 6 numbers to turn up then the expected value is 5 and the variance of x is 2.0833 .
But to be absolutely certain, we may apply an even more straightforward procedure to get the solution,
expected value = (1 -p)/p
Where p is the likelihood of success and (1-p) is the expected failure value for the number of rolls of a die needed for all 6 numbers to turn up.
Thus , the 6 number to turn up = p = 1/6
The 6 number to not turn up =(1 - p) = 5/6
Putting the value in above equation we get,
expected value = (1 - 1/6)/1/6 = (5/6)/(1/6)
expected value = 5
Thus, all outcomes on the die between 1 and 6 have an equal likelihood, the bounds are a = 1, b = 6 ,now calculating the variance of x i.e. V(x)
V(X) = ( b - a)²/12
V(X) = ( 6 - 1)²/12
V(X) = 2.0833
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A 12 kg weather rocket generates a thrust of 200 N_ The rocket, pointing upward, is clamped to the top of a vertical spring, k = 550 N/m. The spring is anchored to the ground: a. Initially, before the engine is ignited, the rocket sits at rest on the top of the spring: How much is the spring compressed? b. After the engine is ignited, what is the rocket'$ speed when the spring has stretched 40 cm?
Initially before the engine is ignited, the weather rocket sits at rest on the top of the spring, and the spring is compressed 0.214m
After the engine is ignited, the rocket speed (that generates a thrust of 200N) when the spring has stretched 40cm is 1.78m/s
Answer to question a.
Given from the question
mass of weather rocket = 12kg
Thrust by rocket Ft = 200N
Spring constant K = 550N/m
Let spring compressed = x meters
Now, let us using the force formula
F rocket = F spring
mass rocket (m) * g (earth gravity) = spring constant (K) * x
12 * 9.8 = 550 * x
117.6 = 550x
x = 0.214m (X₁)
Answer to question b
where y = x₁ + x₂ ; x₁ = 0.214m ; x₂ = 0.4m (stretched 40cm)
y = 0.614
200 * 0.614 + 1/2 * 550 * 0.214² = 1/2 * 550 * 0.4² + 12 * 9.8 * 0.614 + 1/2 * 12 * v²122.8 + 12.59 = 44 + 72.21 + 6 * v²6v² = 19.18v = 1.788m/s
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some students want to calculate the work done by friction as an object with unknown mass moves along a straight line on a rough horizontal surface. the students have a force probe, a meterstick, and a stopwatch. which of the following will allow the students to take the measurements needed to calculate the work done by friction?
Pulling the block at an unknown constant acceleration with the force probe for a measured distance will allow the students to take the measurements needed to calculate the work done by friction. the correct answer is C.
As is common knowledge, the product of force and displacement defines the amount of work done.
hence, it is said as
W =F.d
where,
W is work
F is force
D is displacement
Therefore, in this case, force and displacement must be known in order to determine the work done.
In order to determine the amount of work done, we must first pull the block with a constant acceleration. therefore the correct answer is C
Your question is incomplete but most probably your full question was
Some students want to calculate the work done by friction as an object with unknown mass moves along a straight line on a rough horizontal surface. The students have a force probe, a meterstick, and a stopwatch. Which of the following will allow lo lake the measurements needed to calculate the work done by friction?
(A) Pulling the block at an unknown constant acceleration with the force probe for a measured time.
(B) Pulling the block at an unknown constant speed with the force probe for a measured time.
(C) Pulling the block at an unknown constant acceleration with the force probe for a measured distance.
(D) Pulling the block at an unknown constant speed with the force probe for a measured distance.
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Light enters a water at an angle of incidence of 24 degree. Calculate the angle of refraction.
The calculated value of angle of refraction be 29.88°.
What is refraction?Refraction is defined as "the change in a wave's direction as it passes through a medium."
Although light refraction is one of the most frequently seen phenomena, refraction can also occur with sound and water waves. We can use optical tools like lenses, prisms, and magnifying glasses thanks to refraction. We can focus light on our retina because of the refraction of light, which is another benefit.
Given that;
Angle of incident of light from air to water: i = 24°
Refractive index of water: n = 1.33
So, the angle of refraction be = sin⁻¹(nsini) = sin⁻¹( 1.33 sin24°) = 29.88°.
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the following is the electron configuration for an element that combines with magnesium to form an ionic compound. what are the correct subscripts for the formula of this compound?
Magnesium oxide is created by the ionic bonding of magnesium (Mg) and oxygen (O2). While oxygen has six valence electrons and an of 3,44, magnesium only has two valence electrons and a value of 1,31.
What is in a electron?A opposite charges subatomic particle known as an electron can either be free or attached to an atom (not bound). One of the three main types of components within an atom is an e that is bonded to it; the other couple are protons и neutrons.
What gives electrons their energy?When sufficiently stimulated, atoms in these materials transition from one energy level to another and inhabit a new orbital. These higher-energy electrons eventually return to their initial energy level after releasing their "excess" energy in form of a light photon.
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a 50kg astronaut is training in human centrifuge to prepare for a launch. the astronaut uses the centrifuge to practice having a 5.20g force (5.20 times his own weight) on his back.
A 50kg astronaut practising in a human centrifuge to get ready for a launch will experience a net centripetal force of 2499N. The astronaut practises being supported by a 5.20g strain on his back.
A force that causes a body to follow an arc is known as a centripetal force (from the Latin centrum, "centre," and petere, "to pursue"). It always moves in the opposite direction of the body's motion and in the direction of the immediate centre of the path's curvature. It was defined as "a force by which bodies are attracted, compelled, or gravitate, towards a point as to a centre" by Isaac Newton.
Net centripetal force = 5.10 * 50 * 9.8 = 2499 N
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The complete question is-
a 50kg astronaut is training in human centrifuge to prepare for a launch. the astronaut uses the centrifuge to practice having a 5.20g force (5.20 times his own weight) on his back. Find the net centripetal force?
A 650 kg elevator starts from rest. It moves upward for 4.50 s with constant acceleration until it reaches its cruising speed, 1.75 m/s.
(a) What is the average power of the elevator motor during this period? W
(b) How does this power compare with the motor power when the elevator moves at its cruising speed? Pcruising = W
5789.8 W is the average power of the elevator motor during this period and 1.115 * 10⁴ W this power compare with the motor power when the elevator moves at its cruising speed.
What is an explain acceleration?The rate with which the speed and direction of a moving object vary over time. A point a object going straight ahead is pushed when it accelerates or decelerates.
Briefing:Mass of elevator = 650 kg
Time = 4.50 sec
Speed of the elevator = 1.75 m/s
Calculating the elevator's acceleration is necessary.
Using the acceleration formula
a = vf - vi / t
a = 1.75 / 4.50
a = 0.38 m/s2
(a). We must determine the net force acting on the elevator.
Using the force formula
T = mg + ma
T = m (g +a)
T = 650 (9.8 + 0.38)
T = 6617 N
We must determine the average velocity.
Using the average velocity formula
v' = vf + vi / 2
v' = 1.75 / 2
v' = 0.875 m/s
We must determine the average power.
Using the power formula
P = T * v'
P = 6617 * 0.875
P = 5789.8 W
(b). We must determine the motor's power input.
Using the power formula
P = F * v
P = mg * v
P = 650 * 9.8 * 1.75
P = 1.115 * 10⁴ W.
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