The speed of particle 1 with respect to particle 2 which is moving perpendicular to each other at 2.83 s is 20.89 m / s
a = v / t
v = x / t
[tex]a_{1}[/tex] = 3.37 m / s²
[tex]a_{2}[/tex] = 5.18 m / s²
t = 2.83 s
[tex]v_{1}[/tex] = [tex]a_{1}[/tex] * t
[tex]v_{1}[/tex] = 3.37 * 2.83
[tex]v_{1}[/tex] = d[tex]x_{1}[/tex] / dt = 9.54 m / s
[tex]v_{2}[/tex] = [tex]a_{2}[/tex] * t
[tex]v_{2}[/tex] = 5.18 * 2.83
[tex]v_{2}[/tex] = d[tex]x_{2}[/tex] / dt = 14.66 m / s
[tex]x_{1}[/tex] = [tex]v_{1}[/tex] * t
[tex]x_{1}[/tex] = 9.54 * 2.83
[tex]x_{1}[/tex] = 27 m
[tex]x_{2}[/tex] = [tex]v_{2}[/tex] * t
[tex]x_{2}[/tex] = 14.66 * 2.83
[tex]x_{2}[/tex] = 41.49 m
Since they are moving perpendicular to each other, they make a right angled triangle. According to Pythagoras theorem,
[tex]x_{3} ^{2}[/tex] = [tex]x_{1} ^{2}[/tex] + [tex]x_{2} ^{2}[/tex]
On differentiating with respect to t,
2[tex]x_{3}[/tex] d[tex]x_{3}[/tex] / dt = 2[tex]x_{1}[/tex] d[tex]x_{1}[/tex] / dt + 2[tex]x_{2}[/tex] d[tex]x_{2}[/tex] / dt
41.49 ( d[tex]x_{3}[/tex] / dt ) = 27 ( 9.57 ) + 41.49 ( 14.66 )
d[tex]x_{3}[/tex] / dt = ( 258.4 + 608.24 ) / 41.49
d[tex]x_{3}[/tex] / dt = [tex]v_{12}[/tex] = 20.89 m / s
Therefore, the speed of particle 1 with respect to particle 2 at 2.83 s is 20.89 m / s
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if a rock has a volume of 22.0 mL and a mass of 55 g. what is the density
Answer:
D=5g/2cm cubed
Explanation:
D=M/V
D=55g/22cm cubed
D=5g/2cc
A truck driver attempting to deliver some furniture travels 5 km east turns around and travels 3 km west and then travels 17 km east to his destination. What distance has a driver traveled answer in km?
What is magnitude of the drivers total displacement? answer in Im
Answer:
pp
Explanation:
hahahahhahahhahahahahahaahhahaha.. tbh
A sphere of radius =0.280 m and uniform charge density 151 nC/m^3 lies at the center of a spherical, conducting shell of inner and outer radii 3.50 and 4.00, respectively. If the conducting shell carries a total charge of =−11.9 nC, find the magnitude of the electric field at the given radial distances from the center of the charge distribution.
The magnitude of the electric field at the given radial distances from the center of the charge distribution is, For the first case electric field=E₁= 1211.37N/C, For the second case electric field =E₂=762.82 N/C, For the third case electric field= E₃= 3276.7 N/C, For the fourth case electric field=E₄=555.04N/C
What is electric field?Electric field is defined in a way that a field is present in a frame. There is two electric source is present that associated with each other and make the field electrified and source of electric. It can be shown in electric per unit area.
How can I calculate the electric field?The conducting shell carries a total charge of=Q=−11.9 nC=11.9*10⁻⁹C
A sphere of radius=R =0.280m
A uniform charge density of a sphere=ρ₁= 151 nC/m³= 151×10⁻⁹C/m³
A uniform charge density of a spheric shell,
ρ₂=Q/(4/3)π[(4.00R)³−(3.50R)³]
Or,ρ₂=3Q/4πR³[(4.00)³−(3.50)³]
Or,ρ₂=3*11.9*10⁻⁹/4π(0.280)³[(4.00)³−(3.50)³]
Or,ρ₂=6.15*10⁻⁹ C/m³
We know the law of electric field,
E=(1/4πϵ₀)*(q/r²)
(a) r₁=0.76R
The electric field, in this case, can be given as:
E₁=(1/4πϵ₀)*(q₁/r₁²)
Or, E₁=(1/4πϵ₀)*(ρ₁*{(4/3)πr₁³}/r₁²)
Or, E₁=(1/4πϵ₀)*(ρ₁*(4/3)πr₁)
Or, E₁=9*10⁹*( 151×10⁻⁹*(4/3)π*0.76*0.280)
Or, E₁= 1211.37N/C
According to the calculation, The electric field for this case is, E₁= 1211.37N/C
(b) r₂=3.65R
The electric field, in this case, can be given as:
E₂=(1/4πϵ₀)*(q₂/r₂²)
Here, q₂=Q+(4/3)π[(4.00)³−(3.50)³]
Or, q₂=11.9*10⁻⁹+(4/3)π[(4.00)³−(3.50)³]
Or, q₂=88.488*10⁻⁹C
Now, E₂=(1/4πϵ₀)*(q₂/r₂²)
Or, E₂=(1/4πϵ₀)*(88.488*10⁻⁹/(3.65*0.280)²)
Or, E₂=762.82 N/C
According to the calculation, The electric field for this case is, E₂=762.82 N/C
(c) r₃=2.30R
The electric field, in this case, can be given as:
E₃=(1/4πϵ₀)*(q₃/r₃²)
In this case, electric charge enclosed by the Gaussian surface is given by: q₃=151×10⁻⁹C/m³
Now, E₃=(1/4πϵ₀)*(q₃/r₃²)
Or, E₃=(1/4πϵ₀)*(151×10⁻⁹/(2.30*0.280)²)
Or, E₃= 3276.7 N/C
According to the calculation, The electric field for this case is, E₃= 3276.7 N/C
(d) r₄=4.50R
Here, q₄=Q+(4/3)π[(4.00)³−(3.50)³]
Or, q₄=11.9*10⁻⁹+(4/3)π[(4.00)³−(3.50)³]
Or, q₄=88.488*10⁻⁹C
Now, E₄=(1/4πϵ₀)*(q₄/r₄²)
Or, E₄=(1/4πϵ₀)*(88.488*10⁻⁹/(4.50*0.280)²)
Or, E₄=555.04N/C
According to the calculation, The electric field for this case is, E₄=555.04N/C
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does anyone know how yo resolve this?
Brine is used in a chilled water heat exchanger.
Mass flow of brine = 208.75 lb / min
Heat transferred to brine = 5771.9375 Btu/min
Mass flow rate of water in lb/min = 288.597 lb/min
Mass flow rate of water in gpm = 34.5625 g
1. Mass flow of brine
1gm = 8.35 lb / min
Therefore, 25 gm = 25 * 8.35 = 208.75 lb / min
2. Heat transferred to brine = mbrine * Cbrine (T0 – Ti)
= 208.75 * 0.79 (35 - 0)
= 5771.9375 Btu/min
3. Heat lost by water = Heat gained by brine
Mwater * Cwater (Ti - T0) = 5771.9375
Mwater = 5771.9375 / (1 * (55 - 35)) = 288.597 lb/min
4. Mass flow rate of water = 288.597 / 8.35 = 34.5625 g
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A ball is dropped from the top of a 82-m-high building. What speed does the ball have in falling 3.6 s?
The speed of the ball have in falling 3.6 s is 35.5 m/s.
What is the speed of the ball?The speed of the ball is calculated using the equation of a body falling under the influence of gravity or velocity of free fall.
The equation of the motion of the body is given as follows:
v = u - gt
where;
u is the initial velocity
g = acceleration due to gravity
t = time
v = final velocity
Assuming u = 0 m/s, g = 9.8 m/s², t = 3.6 s
v = 0 - 9.8 * 3.6
v = 35.5 m/s
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A helicopter’s speed increases from 30 m/s to 40 m/s in 5 seconds.
What is the acceleration of this helicopter?
Answer:
2 m/s²
Explanation:
To calculate the acceleration of an object, we use the following formula:
[tex]\boxed{a = \frac{v - u}{t}}[/tex],
where:
• a = acceleration
• v = final speed
• u = initial speed, and
• t = time taken
We are told in the question that the final speed of the helicopter is 40 m/s, its initial speed is 30 m/s, and that the time it took to get from 30 m/s to 40 m/s is 5 seconds.
Therefore, using this information, as well as the formula above, we can evaluate the acceleration of the helicopter:
[tex]a = \frac{40 - 30}{5}[/tex]
[tex]= \frac{10}{5}[/tex]
[tex]= \bf 2 \: m/s^2[/tex]
So the acceleration of the helicopter is 2 m/s².
what does it mean by a wave has a period of 40 ms
Answer:
it means how fast the wave is traveling in which a 40 ms is as fast as a car traveling
It takes less force to push an empty wagon than a full one
O First Law of Motion
O Second Law of Motion
O Third Law of Motion
O Law of Gravity
Answer:
Third law of motion
Explanation:
because his third law states that for every action (force) in nature there is an equal and opposite reaction. so when the wagon is empty you only have to give a less power
please make my answer as brainelist
Questions
High-speed video can record sporting events at a
frame rate of 60 frames per second (frame/s).
What is the time interval between one frame
and the next?
8
a
b
If we can see 24 frame/s as continuous motion,
by what factor can the action recorded at
60 frame/s be slowed down and still look
continuous?
The time interval between one frame and the next is 1/60 second and it needs to be slowed down by a factor of 2.5.
The unitary method's formula is to identify the value of a single unit, then multiply that value by the number of units to obtain the required value.
The frame rate of a high-speed video while recording sporting events is 60 frames per second.
Let's say the time interval between one frame and the next is x.
Using the unitary method,
60 frames → 1 sec
1 frame → x second
So, x = 1/ 60 second
Now, in continuous motion, we can see 24 frames per second.
60 frames per second need to be slowed down to 24 frames per second.
Therefore the factor will be:
= ( 60/24 ) = ( 15/6 ) = ( 5/2 ) = 2.5
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Suppose the Earth had a second moon twice as far from the Earth as our present moon. Using Kepler's 3rd Law calculate the time (period) this new moon will take to orbit the Earth
The time taken for the new moon to orbit the earth is √8 times the time taken by the present moon.
According to Kepler's third law,
[tex]T_{m} ^{2}[/tex] = ( 4 π / G [tex]m_{E}[/tex] ) r³
[tex]T_{m}[/tex] = Time taken by the moon
G = Gravitational constant
[tex]m_{E}[/tex] = Mass of Earth
r = Radius of moon
r' = 2 r
r' = Radius of new moon
[tex]T'_{m} ^{2}[/tex] = ( 4 π / G [tex]m_{E}[/tex] ) ( 2 r )³
[tex]T'_{m} ^{2}[/tex] = 8 ( 4 π / G [tex]m_{E}[/tex] ) r³
[tex]T'_{m}[/tex] = √8 [tex]T_{m}[/tex]
Kepler's third law states that square of time period of a planet's orbit is equal to the cube of semi-major axis of the orbit.
Therefore, the time taken for the new moon to orbit the earth is √8 times the time taken by the present moon.
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You hike two thirds of the way to the top of a hill at a speed
of 3.5 mi/h and run the final third at a speed of 6.5 mi/h.
The correct answer is 4.14456 mi/hour.
The entire distance that an object travels in a given amount of time is the definition of average speed for that object. You can figure it out by dividing the overall distance traveled by the overall journey time.
When an object travels a distance at a variety of speeds, its average speed is the speed at which, if the object moves uniformly, it will travel the same distance in the same amount of time.
average speed= total distance / total time
total distance = 1 mile
The total time = 2 / ( 3 × 3.5 ) = 0.190 hour
time for coming = 1 / (3 × 6.5 ) = 0.05128 hour
Thus the average speed = 1 / ( 0.190 + 0.05128 ) = 1 / 0.24128 = 4.14456 mi/hour.
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Jack and Jill ran up the hill at 3.3 m/s. The horizontal component of Jill's velocity vector was 2.5 m/s.
what is the angle of the hill
Answer:
2538263
Explanation:
when I divide it this is the answer I got
Part A
From the table, what type of correlation is there between the length of the semimajor axis and the orbital period?
correlation between the length of the semimajor axis and the orbital period is given by Kepler's 3rd law P² = kA³
Kepler's 3rd law is given as
P² = kA³
where
P = period, days
A = semimajor axis, AU
k = constant
Given: for mars
P = 687 days
A = 1.52 AU
Therefore
k = P²/A³
= 687²/1.52³
= 1.3439 x 10⁵ days²/AU³
The third rule of Kepler, sometimes known as the law of harmonies, compares a planet's orbital period and radius to those of other planets. The third law compares the velocity characteristics of many planets, in contrast to Kepler's first and second laws, which describe the motion characteristics of a single planet. The ratio of the squares of the periods to the cubes of their average distances from the sun is compared for each planet individually.To know more about Kepler's 3rd law visit : https://brainly.com/question/11168300
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Answer: There is a positive correlation. A longer semimajor axis corresponds to a longer orbital period.
Explanation:
A person walks the path shown below. The total trip consists of four straight-line paths.
Path 1 is 40.0 m due east.
Path 2 is 230.0 m due south.
Path 3 is 110.0 m 30.0° south of west.
Path 4 is 180.0 m 60.0° north of west.
At the end of the walk, what is the person's resultant displacement?
The resultant displacement is (- 145 i - 130 j )m and the angle made by the resultant is 46° west of the South, this can be found using the polygon law of vector addition.
What are vectors?Physical quantity that has both magnitude as well as direction a vector is represented by a line ending with an arrow head where the length of the line represents the magnitude of the vector and the direction of the arrowhead represents the direction of the vector.
What is the polygon law of vector addition?If two or more vectors are joined head to tail then the polygon law of vector addition states that the resultant of such a vector will be given by the vector addition of all the vectors present in the polygon.
Given:
Magnitude of vector 1 pointing south = 40m
Magnitude of vector 2 pointing south = 230 m
Magnitude of vector 3 pointing south of west = 110m
Magnitude of vector 4 pointing north of west = 180 m
Using the polygon law of vector addition we get,
The resultant displacement = vector 1 + vector 2 + vector 3 + vector 4
The resultant displacement = 40 i - 230 j - 110 × cos 30 i - 110 × sin 30 j- 180 × sin 60 j + 180 × cos 60
The resultant displacement = 40 i - 230 j - 95 i - 55 j + 155 j - 90 i
The resultant displacement = ( - 145 i - 130 j )m
To find the angle of the resultant vector we will use tangent trigonometric ratio.
Tan x = (-145)/(-130)
Tan x = (145)/(130)
x = 46° to west of South
Where,
x is the angle made by resultant vector with the vertical axis.
Therefore, the resultant displacement is ( - 145 i - 130 j )m and the angle made by the resultant is 46° to the west of the South.
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The Environmental Justice Movement recognizes that historically environmental burdens are often borne by
The Environmental Justice Movement recognizes that historically environmental burdens are often borne by economic, social and environmental justice.
In order words, it gives fair treatment of justice to its system socially, economically, racially and environmental wise
What is environmental justice?Environmental justice can simply be defined as the act of being fair to everyone in the environment in aspect of life; be it economically, socially, racially, or even origin wise
This movement of environmental justice is characterized by treating everyone equally regardless of the similarities and differences which exist between nations, countries, individuals, organizations.
For every system who obvserves this impartial movement, they usually, frequently and most of the time gives balanced humanitarian service which helps to promote them in aspect of life as this does not discriminate anyone in any manner
So therefore, the Environmental Justice Movement recognizes that historically environmental burdens are often borne by economic, social and environmental justice.
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Where should be the best fit line be drawn on a scatterplot?
A. In the center of the data
b. below the data
c. above the data.
d. none of these
A line of best fit is a straight line drawn through the most points on a scatter plot, with an equal number of points above and below the line. It is used to investigate the nature of the relationship between two variables. The correct option is d.
What is line of best fit?A straight line with the best fit is one that minimizes the distance between it and some data.
In a scatter plot of varying data points, the line of best fit is used to express a relationship. It is a result of regression analysis and can be used to forecast indicators and price movements.
It is important to note that your line does not need to pass through any of the points on the plot; it only needs to bisect the area that contains the data points.
Thus, none of the options are correct, the correct one is d.
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147 The role of inductance is equivalent to: A. Inertia C. Energy D. None of these B. Force D. Momentum
The answer is A. inerta
.....
An object's position in a given coordinate system is described by the vector r = t2 i - (3t + 3) j. Assume the object moves without air resistance. What is the object's acceleration at t4 = 5 seconds? Write your answer in component form.
Explanation:
An object's position in a given coordinate system is described by the vector r = t2 i - (3t + 3) j. Assume the object moves without air resistance. What is the object's acceleration at t4 = 5 seconds? Write your answer in component form. just use the formula, if you use formula you will know how to do.
The object's acceleration at t = 5 seconds would be 2 meters/second².
What is acceleration?The rate of change of the velocity with respect to time is known as the acceleration of the object.
An object's position in a given coordinate system is described by the vector r = t² i - (3t + 3) j,
assuming the object moves without air resistance.
displacement = t² i - (3t + 3) j
velocity = 2t i -3 j
acceleration = 2i
Thus, the object's acceleration at t = 5 seconds would be 2 meters/second².
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In general, what goes on the y-axis of a graph?
O the constant variable
O the independent variable
O the control variable
O the dependent variable
O the dependent variable
Explanation:The independent variable belongs on the x-axis (horizontal line) of the graph and the dependent variable belongs on the y-axis (vertical line).
Hi,
In general, what goes on the y-axis of a graph?
O the dependent variable
Force of gravity between pairs of objects
The force of gravity between two objects is directly proportional to the product of their masses and inversely related to the square of distance between them.
We have a Pair of objects.
We have to discuss about the force of gravity between them.
What is Gravity ?In physics, gravity is a fundamental interaction which causes mutual attraction between all things with mass or energy.
According to the question -
Assume that the mass of objects are m and M. They are separated by distance r apart.
According to the Newton's law of gravitation - the force of gravity between the two objects is directly proportional to the product of their masses and inversely proportional to the square of the distance between them. Therefore, the force of gravity between m and M will be -
[tex]$F = \frac{GMm}{r^{2} }[/tex]
Hence, the force of gravity between two objects is directly proportional to the product of their masses and inversely related to the square of distance between them.
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the angle of incidence for a ray of light from air to water interface is 40 degree. if the ray travels through the water with a refractive index of 1.33, calculate the angle of refraction.
Answer:
N1 Sin θ1 = N2 sin θ2 Snell's equation
Sin θ2 = 1 / 1.33 * Sin 40
Sin θ2 = .752 * .643 = .483
θ2 = 28.9 deg
1. A car having an initial velocity of 12 meters per
second east slows uniformly to 2 meters per
second east in 4.0 seconds. The acceleration of
the car during this 4.0-second interval is
Answer:
5/2m/s^2
Explanation:
Acceleration is change in velocity divided by change in time. You might have seen it written like this:
ΔV/Δt
in this case, your change in velocity is -10m/s and your change in time is 4s thus your acceleration is -5/2m/s^2
What would the motion look like for a person starting 0.4 m away and walking at a constant speed of 0.5 m/s away from the motion detector?
The motion of the person on a velocity time graph would show a flat portion which indicates that there is no change in the speed.
What is constant velocity?If the person moves at constant velocity, it implies that the velocity is not changing with time. This implies that the person does not change speed and that the acceleration of the person is zero.
Accordingly, the motion of the person on a velocity time graph would show a flat portion which indicates that there is no change in the speed of the object with time as the person moves.
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Why does redshift occur?
Answer:
As an object moves away from us, the sound or light waves emitted by the object are stretched out, which makes them have a lower pitch and moves them towards the red end of the electromagnetic spectrum, where light has a longer wavelength.
Explanation:
Doppler shift example: Sound waves from a police car siren. The car is driving forwards. The sound waves in front of the car get bunched up and the sound waves behind the car get stretched out.
In the case of light waves, this is called redshift
At 10–10 s during the evolution of the universe,
formed, which are elementary particles that make up protons and neutrons.
At 10⁻¹⁰ s during the evolution of the universe, quarks formed, which are elementary particles that make up protons and neutrons.
The three subatomic particles.Generally, an atom comprises three (3) distinct subatomic particles and these include the following
Protons.Neutrons.Electrons.What are protons?Protons can be defined as the positively charged subatomic particles that are found in the nucleus of a chemical element and they have a magnitude of +1. Also, the number of protons in the nucleus of a chemical element always the same as its atomic number.
What are quarks?Quarks can be defined as the elementary particles that make up both protons and neutrons, and they are the basic component of matter. Also, quarks have a charge that's approximately equal to 1.07 × 10⁻¹⁹ Coulomb.
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Complete Question:
At 10⁻¹⁰ s during the evolution of the universe, ________ formed, which are elementary particles that make up protons and neutrons.
Calculate the frequency of a 1.77-Angstrom x-ray photon.
The frequency of a 1.77-Angstrom x-ray photon is 1.694×10^18hz.
AS, we can see, the wavelength given of x ray photon
[tex]\lambda[/tex]=1.77-Angstrom = 1.77×10^-10
we know the relationship betwee frequency and lambda
c=λν
ν=c/[tex]\lambda[/tex]
ν is frequency , [tex]\lambda[/tex] is wavelength, and c is speed of light
c= 3×10^8m/s
now put the value in equation:
ν= 3×10^8m/s÷1.77×10^-10
ν=1.694×10^18hz
When a wave travels from one place to another, its frequency describes how frequently a medium particle vibrates. The frequency of a wave may be calculated mathematically by counting how many full oscillations are produced during its propagation in one unit of time. The number of waves that pass a given location in a unit of time may thus be used to characterize it.The unit of frequency is cycles per second or vibrations per second. Hertz (Hz), a different frequency measurement unit, is named after German scientist Heinrich Rudolf Hertz.To know more about frequency visit : https://brainly.com/question/14316711
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For a truck moving at constant speed...
1. the distances traveled during each time period are the same. 2. the direction traveled during each time period must be the same.
3. the truck must accelerate.
4. all of these.
Answer:
1.) the distances travelled during each time period are the same
Explanation:
1.) is correct. If the speed is constant, the truck is moving the same distance per every time period. For example, if the truck is moving at 50 miles/hour, the truck will always travel 50 miles per every 1 hour.
2.) is incorrect. Unlike the velocity, speed is non-directional. This means a truck can maintain a constant speed regardless of its orientation.
3.) is incorrect. Acceleration is the rate at which the velocity/speed changes. If the speed is constant, the acceleration is 0.
4.) is incorrect.
We are in an elevator going down at constant speed. All these forces are acting on us, except:
A- air drag
B- a torque
C- gravity
D- a reaction from the elevator floor
In an elevator going down at constant speed. All these forces are acting on us, except option B. a torque.
Torque is the rotational equivalent of a linear force. In some fields of study, it is also called moment, moment of force, rotational force, or rotational effect. It describes the ability of a force to effect a change in the rotational motion of an object.
Torque is the torque that interacts with the torque of the motor and measures how much of that torque is available when the motor is exerting itself. Torque is present in everyday events. B. Turning a doorknob, opening a soda bottle, using a wrench, pedaling a bicycle.
Constant speed means that the velocity does not change at all for each second of movement. The example of driving a car with cruise control shows constant speed. Constant acceleration means that the velocity increases at the same constant rate every second of his.
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A car drives 26.8 m/s south. It
accelerates at 3.75 m/s² at a
155.0° angle. How long does it
take until the car is driving directly
west?
Answer: the time for the car to drive directly south is determined as 7.15 s.
Explanation:
The time for the car to drive directly south is determined by applying the concept of slope.
slope = Δy/Δx
a = Δv/Δt
Δt = Δv/a
Δt = (26.8)/(3.75)
Δt = 7.15 s
Thus, the time for the car to drive directly south is determined as 7.15 s.
On three separate intances you connect each lightbulb to a battery with an and of 12.00V and an internal resistance of 0.5. When a current of 4A passes through the battery, what is the resistance in the LED, CFL and incandescent lightbulb?
The resistance in the LED, CFL, and incandescent lightbulb would be 2.50 ohms.
What is resistance?Resistance is the obstruction of electrons in an electrically conducting material.
As given in the problem On three separate instances you connect each lightbulb to a battery with an and of 12.00V and an internal resistance of 0.5. When a current of 4A passes through the battery,
resistance = voltage /current
= 12 volt/4 ampere
= 3 Ohm
The total resistance across the circuit = internal resistance + resistance across the bult
resistance across the bulb = 3 - .50
=2.5 Ohms
Thus, the resistance in the LED, CFL, and incandescent lightbulb would be 2.50 ohms
To learn more about resistance, refer to the link;
brainly.com/question/14547003
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