Explanation:
Analog signals :
Analog signals are continuous signal. These are like wave signals that change with time period.The main disadvantage of analog signal is that it contains noise. .They flow continuously.Digital signals :
Digital signals do not flow continuously. It has finite number of values. They form in the form of numbers. They reduce unwanted noise. It is the advantage of digital signals.Answer:
Analog -
They flow continuously
They may pick up unwanted noise
They copy the original sound
Digital -
They do not flow continuously
They reduce unwanted noise.
They change sound into numbers.
Mark Brainliest PleaseA box is sitting on a board. The coefficient of static friction between the box and the board is 0.830216. The coefficient of kinetic friction between the box and the board is 0.326245. One side of the board is raised until the box starts sliding. Give a variable legend for this problem.
a) What is the angle at which the box starts sliding? The model for this problem:
θ=__________________________________ Answer________________________________
b) What is the magnitude of its acceleration after it starts sliding? The model for this problem:
a=__________________________________ Answer________________________________
Answer:
Explanation:
Coefficient of static friction μs = .830216
Coefficient of kinetic friction μk = .326245
a ) The angle at which the box starts sliding depends upon coefficient of static friction . If θ be the required angle
tanθ = μs
tanθ = .830216
θ = 39.7°
b )
When the box starts sliding , kinetic friction will be acting on it .
frictional force on the box = μk mg cos 39.7
net force on the box
= mg sin39.7 - μk mg cos 39.7
Applying Newton's law of motion
mg sin39.7 - μk mg cos 39.7 = m a
a = g sin39.7 - μk g cos 39.7
= 9.8 x sin 39.7 - .326245 x 9.8 x cos 39.7
= 6.26 - 2.46
= 3.8 m /s² .
A motorboat starting from rest travels in a straight line on a lake. If the boat achieves a speed of 9.0 m/s in 13 s, what is the boat's average acceleration?
Answer:
Acceleration, [tex]a=0.69\ m/s^2[/tex]
Explanation:
Given that,
Initial speed of the motorboat, u = 0
Final speed off the motorboat, v = 9 m/s
Time, t = 13 s
We need to find the boat's average acceleration. It is equal to the change in velocity divided by time taken. SO,
[tex]a=\dfrac{v-u}{t}\\\\a=\dfrac{9-0}{13}\\\\a=0.69\ m/s^2[/tex]
So, the acceleration of the boat is [tex]0.69\ m/s^2[/tex].
An electron from a Ti ^ + 2 hydrogen ion leaps from one orbit with radius 13.25 angstrom to another orbit with radius 2.12 angstrom. determine the energy (Joule) e produced in said transition and the wavelength (in cm)
Answer:
ΔE = 59.75 A,
Explanation:
Titanium has 3 electrons in its last shell, as it is doubly ionized, it is left with a single electron in this shell, which is why it behaves like a hydrogen-type atom, consequently we can use Bohr's atomic theory
rₙ = a₀ /Z n²
Eₙ = 1k e² / 2a₀ (Z² / n²)
Where a₀ is Bohrd's atomic radius so = 0.529 núm
Let's find out what quantum number n has each orbit
rn = 13.25 A = 1.325 nm
for Titanium with atomic number 22
n² = Z rₙ / a₀
n = √ (22 (1.325 / 0.529))
n = 7.4
since N is an entry we take
n = 7
rn = 2.12 A = 0.212 nm
n = √ (22 / 0.529) 0.212
n = 3
With these values we can calculate the energy of the transition from level ne = 7 to level no = 3
ΔE = ka e2 Z2 / 2ao (1n02 - 1 / nf2)
ΔE = 9 10⁹ 1.6 10⁻¹⁹ 22² (2 0.529 10⁻⁹) (1/3² - 1/7²)
ΔED = 6.5875 10² (0.111 - 0.0204)
ΔE = 59.75 A
let us be the Planck relation between energy and frequency
E = h f
the frequency is related to the speed of light
c = λ f
f = c / λ
we substitute
E = h c /y
E = ΔE
h c /λ = E
λ = 6.63 10-34 3 108 / 59.75
λ= 3.01939 10⁻²⁴ m
λ = 3.01939 10⁻²² cm
Define fluid flow. What are the types of fluid flow?
Answer:
The different types of fluid flow are: Steady and Unsteady Flow. Uniform and Non-Uniform Flow. ... Compressible and Incompressible Flow. Rotational and Irrotational Flow.
Which of the following is NOT an observation? a.The apple tastes sour b.The apple weighs about 38 g c.The apple is light green in color d.Apples are the best fruit
Answer:
d apple's are the best fruit
he cans have essentially the same size, shape, and mass. Which can has more energy at the bottom of the ramp
Answer:
c. both have same energy
Explanation:
The complete question is
suppose you have two cans, one with milk, and the other with refried beans. The cans have essentially the same size, shape, and mass. If you release both cans at the same time, on a downhill ramp, which can has more energy at the bottom of the ramp? ignore friction and air resistance..
a. can with beans
b. can with milk
c. both have same energy
please explain your answer
Since both cans have the same size, shape, and mass, and they are released at the same height above the ramp, they'll possess the same amount of mechanical energy. This is because their mechanical energy, which is the combination of their potential and kinetic energy are both dependent on their mass. Also, having the same physical quantities like their size and shape means that they will experience the same environmental or physical factors, which will be balanced for both.
A long solenoid that has 1 200 turns uniformly distributed over a length of 0.420 m produces a magnetic field of magnitude 1.00 10-4 T at its center. What current is required in the windings for that to occur
Answer:
The current required winding is [tex]2.65*10^-^2 mA[/tex]Explanation:
We can use the expression B=μ₀*n*I-------1 for the magnetic field that enters a coil and
n= N/L (number of turns per unit length)
Given data
The number of turns n= 1200 turns
length L= 0.42 m
magnetic field B= 1*10^-4 T
μ₀= [tex]4\pi*10^-^7 T.m/A[/tex]
Applying the equation B=μ₀*n*I
I= B/μ₀*n
I= B*L/μ₀*n
[tex]I= \frac{1*10^-^4*0.42}{4\pi*10^-^7*1.2*10^3 }[/tex]
[tex]I= 2.65*10^-^2 mA[/tex]
A boy who exerts a 300-N force on the ice of a skating rink is pulled by his friend with a force of 75 N, causing the boy to accelerate across the ice. If drag and the friction from the ice apply a force of 5 N on the boy, what is the magnitude of the net force acting on him? (a) 70 N (b) 370 N (c) 80 N (d) 380 N
Answer:
Choice a. [tex]70\; \rm N[/tex], assuming that the skating rink is level.
Explanation:
Net force in the horizontal directionThere are two horizontal forces acting on the boy:
The pull of his friend, andFrictions.The boy should be moving in the direction of the pull of his friend. The frictions on this boy should oppose that motion. Therefore, the frictions on the boy would be in the opposite direction of the pull of his friend.
The net force in the horizontal direction should then be the difference between the pull of the friend, and the friction on this boy.
[tex]\text{Net force, horizontal} = 75\; \rm N - 5\; \rm N = 70\; \rm N[/tex].
Net force in the vertical directionThe net force on this boy should be zero in the vertical direction. Consider Newton's Second Law of motion. The net force on an object is proportional to its acceleration. In this question, the net force on this boy in the vertical direction should be proportional to the vertical acceleration of this boy.
However, because (by assumption) the ice rink is level, the boy has no motion in the vertical direction. His vertical acceleration will be zero. As a result, the net force on him should also be zero in the vertical direction.
Net forceTherefore, the (combined) net force on this boy would be:
[tex]\sqrt{(70\; \rm N)^2 + (0\; \rm N)^2} = 70\; \rm N[/tex].
you are working in a physics lab where you have made a simple circuit with a battery and bulb in which part of your circuit is the current flow maximum through the bulb filament or through the battery if you reverse the polarity would there be any difference in the intensity of the bulb
Answer:
The current moves in the terminal.
An electrical cable consists of 125 strands of fine wire, each having 2.65 m0 resistance. The same potential difference is applied between the ends of all the strands and results in a total current of 0.750 A. (a) What is the current in each strand
Answer:
I = 6 mA
Explanation:
Given that,
Number of strands are 125
Resistance of each strand is 2.65 mΩ
The same potential difference is applied between the ends of all the strands and results in a total current of 0.750 A.
We need to find the current in each strand.
Total current is 0.75 A
Number of strands are 125
So, current in each strand :
[tex]I=\dfrac{0.75}{125}\\\\I=0.006\ A\\\\I=6\ mA[/tex]
So, 6 mA of current flows in each strand.
A photoelectric-effect experiment finds a stopping potentialof 1.93V when light of 200nm is used to illuminate thecathode.
a) From what metal is the cathode made from?
b) What is the stopping potential if the intensity of thelight is doubled?
Answer:
a) Tantalum
b) 1.93 V
Explanation:
The energy of the incident photon= hc/λ
h= Plank's constant=6.63×10^-34 Is
c= speed of light = 3×10^8 ms-1
λ= wavelength of incident photon
E= 6.63×10^-34 × 3×10^8/ 200×10^-9
E= 0.099×10^-17
E= 9.9×10^-19 J
The kinetic energy of the electron = eV
Where;
e= electronic charge = 1.6×10^-19 C
V= 1.93 V
KE= 1.6×10^-19 C × 1.93 V
KE= 3.1 ×10^-19 J
From Einstein's photoelectric equation;
KE= E -Wo
Wo= E -KE
Wo=9.9×10^-19 J - 3.1 ×10^-19 J
Wo= 6.8×10^-19 J
Wo= 6.8×10^-19 J/1.6×10^-19
Wo= 4.25 ev
The metal is Tantalum
b) the stopping potential remains 1.93 V because intensity of incident photon has no effect on the stopping potential.
As a professional teacher who has been assigned to teach science in an elementary school class design activities to teach source of energy to your learners
Answer:
For solar energy, I would show them how a magnifying glass works when exposed to the sun.
For wind energy, I would teach them how to make a paper windmill and explain how it works.
For the hydroelectric energy, I would have them make a plastic turbine and explain to them how to use it in rivers or streams.
For electromagnetic energy, I would tell them to rub a balloon until their hairs stand on end.
And for electricity, I would teach them how the other energy sources create electricity and what electricity works for in these times.
Explanation:
To explain something so complicated to a child is not as easy as it would be with a teenager or an adult.
To make the children learn about the forms of energy, I would use the nemotechnique rule, using short and easy-to-remember sentences and explaining with many examples about how to get each type of energy and its use, in addition to adding didactic, visual and auditory content, which are the most common types of learning in children.
When the k. E of
the object
object is increases
by 100% the momentin
the body is
increased by
how to solve plz
[tex]\sqrt{2}[/tex]Answer:
KE2 = 2 KE1
1/2 M V2^2 = 2 * (1/2 M V1^2)
V2^2 = 2 V1^2
V2 = [tex]\sqrt{2}[/tex] V1
Since momentum = M V the momentum increases by [tex]\sqrt{2}[/tex]
Gravel is __ than clay.
Answer:
more permeable
Explanation:
no idea, i just remember learning this in school lol.
... noisier when it's in a paper bag ...
If VF=Vi+AT and Vi=0,A=3,T=4 find Vf?
Answer: 12
Explanation:
Given: VF=Vi+AT
-------------------------
In this case, substitute all the given values into the equation
VF=Vi+AT
VF=0+(3)(4)
VF=0+12
VF=12
Hope this helps!! :)
Answer:
[tex]\huge \boxed{V_f=12}[/tex]
Explanation:
[tex]V_f=V_i+AT[/tex]
This is the formula for final velocity.
The values are given for initial velocity, acceleration, and time elapsed.
[tex]V_i=0, \ A=3, \ T=4[/tex]
Solve for [tex]V_f[/tex].
[tex]V_f=0+(3)(4)[/tex]
Evaluate.
[tex]V_f=12[/tex]
For a certain experiment, Juan must measure the concentration of a certain substance in a solution over time. He needs to collect a measurement every 0.05 seconds. He then needs to display his data in a graph and place that graph in a text document. Select the best tools to use for this experiment. Check all that apply.
Answer:
Probeware and computer
Explanation:
Computers are more powerful and better than a graphing calculator for this situation.
are the tools he must use.
A helicopter goes straight up 500m from a landing pad. It then goes north 20m. Then it goes down 452m. a) What is the displacement of the helicopter?
Express as components of a vector.
x-component_____________________
y-component_____________________
b) What is the displacement of the helicopter? Express as a vector (magnitude and direction).
Answer_____________________
Answer:
a
x-component [tex]20 \ m[/tex]
y-component [tex]500 - 452 = 48 \ m[/tex]
b
Magnitude [tex]d = 52 \ m[/tex]
direction is [tex]\theta = 67.4^o[/tex]
Explanation:
From the question we are told that
The first vertical distance is [tex]y_1 = 500 \ m[/tex]
The first horizontal distance is [tex]x = 20 \ m[/tex]
The second vertical distance is [tex]y_2 = 452 \ m[/tex]
Generally the displacement is
x-component [tex]20 \ m[/tex]
y-component [tex]500 - 452 = 48 \ m[/tex]
Generally the helicopters displacement is mathematically evaluated as
[tex]d = \sqrt{ x- component ^2 + y- component ^2 }[/tex]
[tex]d = \sqrt{ 20t ^2 + 48 ^2 }[/tex]
[tex]d = 52 \ m[/tex]
The direction is the angle the displacement of the helicopter makes with the horizontal which is mathematically evaluated as
[tex]\theta = tan ^{-1}[ \frac{48}{20}][/tex]
=> [tex]\theta = tan ^{-1}[ 2.4 ][/tex]
=> [tex]\theta = 67.4^o[/tex]
How fast must a meter stick be moving if its length is observed to shrink to 0.57 m?
Answer:
0.8216c
Explanation:
Using the relationship
L' = L√(1 - v²/c²)
where
L = original length,
L' = observed length,
v = velocity,
c =speed.
L'/L = 0.57
Then
0.57 = √(1 - v²/c²)
1 - v²/c² = 0.57² = 0.3249
v²/c² = 1 - 0.3249 = 0.6751
v² = 0.6751c²
v = c√0.6751 = 0.8216c
Explanation:
A 4.8-kg block attached to a spring executes simple harmonic motion on a frictionless horizontal surface. At time t=0 s, the block has a displacement of -0.50m, a velocity of -0.80m/s and an acceleration of +8.3m/s2 The force constant of the spring is closest to:______.
A) 62 N/m
B) 67 N/m
C) 56 N/m
D) 73 N/m
E) 80 N/m
Answer:
E) 80 N/m
Explanation:
Given;
mass of the block, m = 4.8 kg
displacement of the block, x = -0.5 m
velocity of the block, v = -0.8 m/s
acceleration of the block, a = 8.3 m/s²
From Newton's second law of motion;
F = ma
Also, from Hook's law;
F = -Kx
where;
k is the force constant
Thus, ma = -kx
k = -ma/x
k = -(4.8 x 8.3) / (-0.5)
k = 79.7 N/m
k ≅ 80 N/m
Therefore, the force constant of the spring is closest to 80 N/m
A drag racer can reach a top speed of 98 m/s. How long will it take the racer to travel 1500 m?
Answer:
[tex]t=15.3s[/tex]
Explanation:
Hello,
In this case, since the speed is defined in terms of the distance over time:
[tex]V=\frac{x}{t}[/tex]
We can easily solve for the time with the given speed and distance:
[tex]t=\frac{x}{V}=\frac{1500m}{98m/s}\\ \\t=15.3s[/tex]
Regards.
The maximum energy a bone can absorb without breaking is surprisingly small. Experimental data show that both leg bones, together, of a healthy human adult can absorb about 200 J before breaking. From what maximum height could a 75 kg person jump and land rigidly upright on both feet without breaking their legs
Answer:
0.21m
Explanation:
Note that the 200 J before breaking legs is Kinetic energy
So if potential energy= kinetic energy
Then 200J = mgh
h= 200/75x 9.8
= 0.21m so the maximum height will be 0.21m
Match the story events on the left to the correct element of plot structure on the right
Victor pretends he can speak French
climax
Victor gets his school schedule.
resolution
Victor tries to get Teresa's attention
after homeroom and at lunch.
exposition
Teresa asks Victor if he will help her in
French
rising action
Victor checks out books to learn French
and help Teresa
falling action
Explanation:
- Victor pretends he can speak French > Rising action.
- Victor gets his school schedule > Exposition.
- Victor tries to get Teresa's attention after homeroom and at lunch > Rising action.
- Teresa asks Victor if he will help her in French > Falling action.
- Victor checks out books to learn French and help Teresa > Climax
Answer:
In "Seventh Grade" by Gary Soto, the story reaches its climax when Mr. Bueller stays quiet about Victor not knowing French. When Mr. Bueller asks if anyone in the class knows French and then Victor raises his hand, although he doesn't speak the language, Mr. Bueller decides not to make fun of it, and instead, he continues with the class normally. This action had a positive effect on Victor, who considers Mr. Bueller to be a good person and motivates him to do well in French, despite of his previous attempt to impress Teresa. Regarding the other options, although they occur at the beginning (Teresa sees Victor in the lunch area and smiles at him and Victor raises his hand in French to impress Teresa) and at the end (Victor assures Teresa that helping her will not be a bother), they aren't considered to be the highest point of the conflict in the storyA student submits the following work on reference frames and centripetal force, but she has made a few mistakes. Select all sentences that contain mistakes. All non-inertial reference frames exhibit “fictitious forces.” One of these fictitious forces is the centripetal force. For example, consider a car moving in a straight line. When the car turns to the right, the passengers experience a “force” to the right. However, there is no actual force applied. The passenger is merely continuing in a straight direction. When the car is turning, the reference frame of the car is an inertial reference frame. Hence, the passenger experiences this fictitious force, even though there is no actual force there.
Answer:
"However, there is no actual force applied."
"The passenger is merely continuing in a straight direction."
Explanation:
Am AP Phys student
Suppose you spray your sister with water from a garden hose. The water is supplied to the hose at a rate of 0.625×10−3 m3/s and the diameter of the nozzle you hold is 5.19×10−3 m. At what speed v does the water exit the nozzle?
Answer:
0.153 m/s
Explanation:
The flowrate Q = 0.625 x 10-3 m^3-/s
The diameter of the nozzle d = 5.19 x 10^-3 m
the velocity V = ?
The cross-sectional area of the flow A = [tex]\pi d^{2}/4[/tex]
==> (3.142 x 5.19 x 10^-3)/4 = 4.077 x 10^-3 m^2
From the continuity equation,
Q = AV
V = Q/A = (0.625 x 10-3)/(4.077 x 10^-3) = 0.153 m/s
A man weighing 700 NN and a woman weighing 440 NN have the same momentum. What is the ratio of the man's kinetic energy KmKmK_m to that of the woman K
Answer:
The ratio of the man's kinetic energy to that of the woman's kinetic energy is 0.629.
Explanation:
Given;
weight of the man, W = 700 N
Weight of the woman, W = 440 N
momentum is given by;
[tex]P = mv\\\\v = \frac{P}{m}[/tex]
Kinetic energy of the man;
[tex]K_m = \frac{1}{2}m_m(\frac{P_m}{m_m})^2 \\\\K_m = \frac{P_m^2}{2m_m}[/tex]
Momentum of the man is calculated as;
[tex]P_m^2 = 2m_mK_m[/tex]
The kinetic energy of the woman is given by;
[tex]K_w = \frac{P_w^2}{2m_w}[/tex]
The momentum of the woman is given;
[tex]P_w^2 = 2m_wK_w[/tex]
Since, momentum of the man = momentum of the woman
[tex]P_m^2 = P_w^2[/tex]
[tex]2m_mK_m = 2m_wK_w\\\\\frac{K_m}{K_w} = \frac{2m_w}{2m_m}\\\\\frac{K_m}{K_w} = \frac{m_w}{m_m}[/tex]
mass of the mas = 700 / 9.8 = 71.429
mass of the woman is = 440 / 9.8 = 44.898
[tex]\frac{K_m}{K_w} = \frac{44.898}{71.429}\\\\\frac{K_m}{K_w} =0.629[/tex]
Therefore, the ratio of the man's kinetic energy to that of the woman's kinetic energy is 0.629.
Base of wall of water dam is made wider.Give reason.
Type your answer in the box.
An organ is a group of two or more
function.
that work together to perform a common function
Which statement is true regarding the waves shown?
A)
Doubling the frequency of the bottom waves by will cause it to match the
top waves.
B)
Cutting the frequency of the bottom waves in half will cause it to match
the top waves
C)
There is no way to match the bottom and top waves to the same frequency.
D)
Decreasing the frequency of the top waves by half will cause it to match
the bottom waves.
Answer:
The correct answer is B)
Cutting the frequency of the bottom waves in half will cause it to match top waves.
Explanation:
USATESTPREP
Cutting the frequency of the bottom waves will cause it to match the top waves. So the correct option is B.
What are waves?A propagation of disturbance, from one point to another point is called a wave. Waves are either mechanical or non-mechanical. Electromagnetic waves are non-mechanical waves.
The mechanical waves cannot travel without a medium e.g sound waves. Non-mechanical waves do not require a medium to travel, this means that they can even travel through a vacuum.
Waves are of two types. Transverse waves and longitudinal waves.
If the direction of propagation of wave is perpendicular to the direction of movement of particles of the medium, it results in a transverse wave.
If the direction of propagation of wave is parallel to the direction of movement of particles in a medium, it results in a longitudinal wave.
Five properties of waves are amplitude, frequency, wavelength, time period and speed.
Maximum displacement from the mean position is the amplitude. The number of vibrations in a fixed point in unit time is the frequency. The distance between two identical points is the wavelength. Time taken by a wave to pass through a point is the time period and the distance travelled between particular points in a unit of time is the speed.
Therefore the correct option is B.
Read more about waves, here
https://brainly.com/question/3639648
#SPJ5
The astronomical unit (AU) is defined as the mean center-to-center distance from Earth to the Sun, namely 1.496x10^(11) m. The parsec is the radius of a circle for which a central angle of 1 s intercepts an arc of length 1 AU. The light-year is the distance that light travels in 1 y.
(a) How many parsecs are there in one astronomical unit?
(b) How many meters are in a parsec?
(c) How many meters in a light-year? (d) How many astronomical units in a light-year? (e) How many light-years in a parsec?
Answer:
a) How many parsecs are there in one astronomical unit?
[tex]4.85x10^{-6}pc[/tex]
(b) How many meters are in a parsec?
[tex]3.081x10^{16}m[/tex]
(c) How many meters in a light-year?
[tex]9.46x10^{15}m[/tex]
(d) How many astronomical units in a light-year?
[tex]63325AU[/tex]
(e) How many light-years in a parsec?
3.26ly
Explanation:
The parallax angle can be used to find out the distance using triangulation. Making a triangle between the nearby star, the Sun and the Earth, knowing that the distance between the Earth and the Sun ([tex]1.496x10^{11} m[/tex]) is defined as 1 astronomical unit:
[tex]\tan{p} = \frac{1AU}{d}[/tex]
Where d is the distance to the star.
Since p is small it can be represent as:
[tex]p(rad) = \frac{1AU}{d}[/tex] (1)
Where p(rad) is the value of in radians
However, it is better to express small angles in arcseconds
[tex]p('') = p(rad)\frac{180^\circ}{\pi rad}.\frac{60'}{1^\circ}.\frac{60''}{1'}[/tex]
[tex]p('') = 2.06x10^5 p(rad)[/tex]
[tex]p(rad) = \frac{p('')}{2.06x10^5}[/tex] (2)
Then, equation 2 can be replace in equation 1:
[tex]\frac{p('')}{2.06x10^5} = \frac{1AU}{d}[/tex]
[tex]\frac{d}{1AU} = \frac{2.06x10^5}{p('')}[/tex] (3)
From equation 3 it can be see that [tex]1pc = 2.06x10^5 AU[/tex]
a) How many parsecs are there in one astronomical unit?
[tex]1AU . \frac{1pc}{2.06x10^5AU}[/tex] ⇒ [tex]4.85x10^{-6}pc[/tex]
(b) How many meters are in a parsec?
[tex]2.06x10^{5}AU . \frac{1.496x10^{11}m}{1AU}[/tex] ⇒ [tex]3.081x10^{16}m[/tex]
(c) How many meters in a light-year?
To determine the number of meters in a light-year it is necessary to use the next equation:
[tex]x = c.t[/tex]
Where c is the speed of light ([tex]c = 3x10^{8}m/s[/tex]) and x is the distance that light travels in 1 year.
In 1 year they are 31536000 seconds
[tex]x = (3x10^{8}m/s)(31536000s)[/tex]
[tex]x = 9.46x10^{15}m[/tex]
(d) How many astronomical units in a light-year?
[tex]9.46x10^{15}m . \frac{1AU}{1.496x10^{11}m}[/tex] ⇒ [tex]63325AU[/tex]
(e) How many light-years in a parsec?
[tex]2.06x10^{5}AU . \frac{1ly}{63235AU}[/tex] ⇒ [tex]3.26ly[/tex]
(I) A car slows down from 28 m????s to rest in a distance of 88 m. What was its acceleration, assumed constant?
Answer:
The value is [tex]a = - 4.45 m/s^2[/tex]
Explanation:
From the question we are told that
The initial speed is [tex]u = 28 \ m/s[/tex] at a distance of [tex]s_1 = 0 \ m[/tex]
The final speed is [tex]v = 0 \ m/s[/tex] at a distance of [tex]s_2 = 88 \ m[/tex]
Generally from the kinematic equation we have that
[tex]v^2 = u^2 +2as[/tex]
=> [tex]a = \frac{v^2 - u^2 }{ 2(s_2 - s_1 )}[/tex]
=> [tex]a = \frac{0 - 28^2 }{ 2(88 - 0 )}[/tex]
=> [tex]a = - 4.45 m/s^2[/tex]
The negative sign shows that it is decelerating