A car travels straight for 20 miles on a road that is 30° north of east. What is the east component of the car’s displacement to the nearest tenth of a mile? -17. 3 miles -10. 0 miles 10. 0 miles 17. 3 miles.
Answers
The east component of the cars displacement is 17.3 miles.
Trigonometric ratio is used to show the relationship between the sides of a right angled triangle and its angles.
Let x represent the east component of the cars displacement.
Using trigonometric ratio:
cos(30) = x / 20
x = 20 * cos(30)
x = 17.3 miles
The east component of the cars displacement is 17.3 miles.
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Related Questions
explain why a patch of light appears at a specific point on the floor
Answers
Answer:
a patch of light appears at a specific point on the floor due to reflection from a nearby surface. This phenomenon occurs due to the law of reflection, which states that when light hits a surface, it reflects off at an angle equal to the angle at which it struck.
Explanation:
please follow po and u can ask me for help.
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Calculate the current through resistor 1
Calculate the current through resistor 2
Calculate the current through resistor 3
Answers
\( \boxed{ \frak{Answer}}\)
Current for Resistor 1 \(R_{1}\) is: 12We know that, by Ohm's law:
\(v \: = ir\)
but,now we have to find current I.e,
\(i = \frac{v}{r} \)
By using the above formula, we get
\(i = \frac{v}{r} \)
Here, in case of \(R_{1}\)
Voltage,V = 12V
Resistance,R = 1 ohm
Current,I = [To be calculated]
Now,
\(i = \frac{v}{r} \)
\( \implies \: i = \frac{12}{1} \)
\( \implies \: i = 12\)
In case of \(R_{2}\)
Voltage,V = 12V
Resistance,R = 1 ohm
Current,I = [To be calculated]
By ohm's law:
\(i = \frac{v}{r} \)
\( \implies \: i = \frac{12}{1} \)
\( \implies \: i = 12\)
Again,in case of \(R_{3}\)
Voltage,V = 12V
Resistance,R = 3 ohm
Current, I = [To be calculated]
By ohm's law:
\(i = \frac{v}{r} \)
\( \implies \: i = \frac{12}{3} \)
\( \implies \: i = 4\)
Therefore, current of resistor 2 = 12 current of resistor 3 = 4\( \boxed{ \frak{Keep \: Learning}}\)
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Please help me, I am following along diligently. V(t) = t^2 -9t+18, with distance, s measured in meters, left or right of 0, and t measured in seconds, with t between 0 and 8 seconds inclusive. The position at time t=0 sec is 1 meter right of 0, that is s(0)= 1Part I: Average velocity over the interval 0 to 8 secondsPart II: The instantaneous velocity and speed at time 5 secsPart III: The time intervals when the particle is moving rightPart IV: The time intervals when the particle is going faster, and slowing downPart V: Total distance the particle has traveled between 0 and 8 seconds
Answers
Given that the velocity at any time t is
\(v(t)=t^2-9t+18\)Also, the time interval is from t = 0 to t = 8 seconds
The position at time t = 0 s is s(0) = 1 m towards right of zero.
The initial time is t = 0 s, so the initial velocity will be
\(\begin{gathered} v_i(t=0)=0^2-9\times0+18\text{ } \\ v_i(0)\text{ = 18 m/s} \end{gathered}\)The final time is t = 8 s, so the final velocity will be
\(\begin{gathered} v_f(t=8)=8^2-9\times8+18 \\ v_f(8)\text{ = 64-72+18} \\ =\text{ 10 m/s} \end{gathered}\)The average velocity will be
\(\begin{gathered} v_{av}=\frac{v_i+v_f}{2} \\ =\frac{18+10}{2} \\ =14\text{ m/s} \end{gathered}\)Thus, the average velocity is 14 m/s.
Part II:
The instantaneous velocity at time t =5 s will be
\(\begin{gathered} v(t=5)=5^2-9\times5+18 \\ =25-45+18 \\ =-2\text{ m/s} \end{gathered}\)The instantaneous speed is the magnitude of instantaneous velocity.
Thus, the instantaneous speed will be 2 m/s.
Part III:
The particle will move towards the right when v(t) > 0
The time intervals will be
\(\begin{gathered} t^2-9t+18>0 \\ t^2-6t-3t+18>0 \\ t(t-6)-3(t-6)>0 \\ (t-6)(t-3)>0 \\ t-6>0\text{ or t>6} \\ t-3>0\text{ ot t>3} \end{gathered}\)Thus, time intervals are t > 3 and t > 6 when the particle is moving towards the right.
Part IV :
The particle will move faster if the acceleration, a(t) > 0
The particle will slow down if the acceleration, a(t) < 0
So, first, we need to find the acceleration, it can be calculated as
\(\begin{gathered} a(t)=\text{ }\frac{d(v(t))}{dt} \\ =\frac{d(t^2-9t+18)}{dt} \\ =2t-9 \end{gathered}\)For the particle moving faster,
\(\begin{gathered} a(t)>0 \\ 2t-9>0 \\ 2t-9+9>9+0 \\ 2t>9 \\ \frac{2t}{2}>\frac{9}{2} \\ t>\frac{9}{2} \\ t>4.5\text{ s} \end{gathered}\)For particle slowing down,
\(\begin{gathered} a(t)<0 \\ 2t-9<0 \\ 2t-9+9<9+0_{} \\ 2t<9 \\ \frac{2t}{2}<\frac{9}{2} \\ t<4.5\text{ s} \end{gathered}\)The total distance can be calculated as
\(\begin{gathered} s(t)=\int ^8_0v(t)dt \\ =\text{ }\int ^8_0(t^2-9t+18)\mathrm{d}t \\ =\lbrack\frac{t^3}{3}\rbrack^8_0-9\lbrack\frac{t^2}{2}\rbrack^8_0+18\lbrack t^{}\rbrack^8_0 \\ =\frac{1}{3}\lbrack512-0\rbrack-9\lbrack64-0\rbrack+18\lbrack8-0\rbrack \\ =\text{ 170.67-576+144} \\ =-261.33\text{ m} \end{gathered}\)Here, the negative symbol indicates it is towards the left from zero.
Which statement about the universality of gravity is untrue?
a
The gravitational force between two objects depends only on their masses.
b
The gravitational force between two objects increases if the mass of one object increases.
c
The gravitational force between two objects increases if the distance between the objects decreases.
d
Any two objects that have mass also have a force of gravity acting between them, no
Answers
Answer:
Explanation:
See attachment.
a NO - it depends on distance between the masses, also.
The gravitational force between two objects depends only on their masses.
b YES - see attachment
The gravitational force between two objects increases if the mass of one object increases.
c. No - it decrease
The gravitational force between two objects increases if the distance between the objects decreases.
d. It appears the answer is incomplete (stops at . . ., no . . ). Otherwise I say YES.
Any two objects that have mass also have a force of gravity acting between them, no
the universal gravitation constant is represented by what number?
Answers
Isaac Newton's Law on Universal Gravitation provided the first formal definition of the gravitational constant. One of nature's fundamental constants, whose value is (6.6743 0.00015) x 10-11 m3 kg-1 s-2.
Explanation of gravitationIf there is a difference in mass between any two things or particles, gravity will tend to pull them in that direction.
What does the name "gravitation" mean?The reason it is known as Newton's Law on Gravitation is that it applies to all mass-bearing things, such as the sun, moon, earth, and an apple, and these bodies will all be subject to its effects.
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A ball is thrown horizontally from the top of a building at 2 m/s. It takes 3 seconds to reach the ground. How far did the ball travel horizontally (dx)?
Answers
HELP!!
What is the resultant displacement?
A. The product of two vectors.
B. Vector addition.
C. The shortest distance from start to finish.
D. The difference between two vectors.
Answers
Answer:
When displacement vectors are added, the result is a resultant displacement. But any two vectors can be added as long as they are the same vector quantity. If two or more velocity vectors are added, then the result is a resultant velocity. If two or more force vectors are added, then the result is a resultant force.
PLEASE HELP!!!!!! If an index fossil is never found below a key bed what can you infer from this information?
Answers
Answer:
index fossil, any animal or plant preserved in the rock record of the Earth that is characteristic of a particular span of geologic time or environment. A useful index fossil must be distinctive or easily recognizable, abundant, and have a wide geographic distribution and a short range through time. Index fossils are the basis for defining boundaries in the geologic time scale and for the correlation of strata. In marine strata, index fossils that are commonly used include the single-celled Protista with hard body parts and larger forms such as ammonoids. In terrestrial sediments of the Cenozoic Era, which began about 65.5 million years ago, mammals are widely used to date deposits. All of these animal forms have hard body parts, such as shells, bones, and teeth, and evolved rapidly.
Explanation:
Which is a property of every heterogeneous mixture?
a.the mixture is made up of at least two different states.
b.the mixture is made up of something dissolved in a liquid.
c.the composition of the mixture is the same throughout.
d.the characteristics of the mixture change within a sample.
hana fills a cup with sandy ocean water. she pours the mixture through a filter. what does she collect that passes through the filter?
a.a sample of pure water
b.a solution of salt in water
c.a suspension of sand in water
d.a colloid of salt in water
which describe colloids? check all that apply.
1.heterogeneous mixtures
2.homogeneous mixtures
3.may have a uniform appearance
4.are made up of at least two substances
5.will settle out over time
when mixed, which states of matter form only a homogeneous mixture?
a.two liquids
b.two gases
c.a solid and
Answers
Answer: C for all of them
Explanation:
Because I'm smart
Jk
So basically its beacuse all of them have the same mixture since science can be interrelated and interchangebale in terms of formulas ok bye now
Thanks
Hope this helped you
Or not
Sorry if it didn't ig
For what reasons could a theory be changed or replaced? Check all that apply.
New technology is developed that provides more information about the theory.
New experimental methods are designed to test a theory.
A new, untested hypothesis is proposed.
New information is discovered that does not support the theory.
A single experiment produces results that differ from all previous experiments.
Answers
Answer:
New technology is developed that provides more information about the theory. (New technologies can lead to new results).
New experimental methods are designed to test a theory.
New information is discovered that does not support the theory.
Explanation:
A theory is an explanation of an aspect of the natural based on careful examination of facts. A theory by its definition can be repeatedly tested. A theory can be changed or replaced because of the following reasons:
10 POINTS! FIRST TO ANSWER ****CORRECTLY**** GETS BRAINLIEST!
The state of California experiences periodic occurrences of higher than average precipitation. This causes flooding due to heavy rainfall.
Which weather phenomenon most likely causes this and why?
A. La Niña, because of weakening of trade winds
B. El Niño, because of weakening of trade winds
C. El Niño, because of strengthening of trade winds
D. La Niña, because of strengthening of trade winds
Answers
Answer:
The answer choice is C because La Nina Is the cooled part of the sea while El Nino is the warmed part of the sea.
Explanation:
You don't need to thank me... : )
Four satellites are in orbit around the Earth. The heights of their four orbits
are identical. The masses of the four satellites are given in the table. For
which satellite is the gravitational pull of Earth the strongest?
A. Satellite A
B. Satellite B
C. Satellite C
D. Satellite D
Answers
The gravitational pull of Earth is stronger in satellite A
2) How could a motorcycle (a vehicle with less mass) make a van (a
vehicle with more mass) move? *
Answers
it depends upon what state they are in like in motion or res
What is the equation for Kinetic Energy?
Answers
Answer:
k.e. = 1/2 m v2 equation of kinetic energy
Answer:
\(Kinetic \: Energy⟼ \frac{1}{2} {mv}^{2} \)
what is the principle of charge quantisation?
Answers
Answer:
Charge quantization is the principle that the charge of any object is an integer multiple of the elementary charge.
Explanation:
I’ll give brainliest if it’s correct ;-;z
Someone help!!!
3 different earthquakes that were measured with broadband seismographs, 3 earthquakes long period, and 3 earthquakes measured with short period instruments.
Answers
Explanation:
what is the question? could you pls provide it
A donkey starts from rest and accelerates for 6.7 s at a rate of 1.6 m/s².
What is the maximum speed the donkey achieves? Round your answer
to 2 decimal places.
Answers
The maximum speed of the donkey is 10.72m/s
The question is based on the principle of motion in one dimension and hence formulas of motion in one dimension can be applied.
It is given that donkey attains an acceleration of 1.6 m/s^2
The time taken to accelerate to given speed is 6.7 seconds
We use the formula v=u + at to find the fastest speed
v is the final or maximum speed
u is the initial speed which in this case is 0 as the donkey is at rest
a is the acceleration of the donkey
t is the time taken in seconds
v = u + at
v= 0 + 1.6 x 6.7
= 10.72 m/s
Hence the donkey obtains the speed of 10.72 m/s
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A performing dolphin speeds through the water and hits a rubber ball originally at rest. describe what happens to the velocities of the dolphin and the ball.
Answers
According to the law of conservation of momentum, the total momentum of the system of the dolphin and the ball is conserved. Initially, the dolphin and the ball have a total momentum of zero as the ball is at rest.
When the dolphin hits the ball, it exerts a force on it, causing it to move in the direction of the force.
This creates a net momentum in the direction of the ball's motion, which is equal in magnitude and opposite in direction to the momentum of the dolphin.
Therefore, the dolphin's momentum decreases while the ball's momentum increases.
The dolphin continues moving forward but with a reduced velocity, while the ball moves away from the dolphin with a velocity that depends on the mass of the ball and the force applied by the dolphin.
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How is a uniform beam rotational equilibrium but not translational equilibrium?
Answers
A uniform beam can be in rotational equilibrium but not translational equilibrium if there is a force acting on the beam that causes a torque but does not cause any net force in any particular direction
Explanation - A uniform beam is rotational equilibrium but not translational equilibrium because in rotational equilibrium, the net torque acting on the object is equal to zero while in translational equilibrium, the net force acting on the object is equal to zero. Here, the following are the given information: Uniform beam It is rotational equilibrium It is not translational equilibriumWhen a uniform beam is placed on two supports, it is in rotational equilibrium because the forces acting on it are balanced. This means that the net torque acting on the beam is equal to zero. However, the beam is not in translational equilibrium because the forces acting on it are not balanced. This means that the net force acting on the beam is not equal to zero.The formula for torque is τ= rF sin θwhere τ is torque, r is the distance from the pivot point to the point where the force is applied, F is the force applied, and θ is the angle between the force and the line of action of the force.In order for the beam to be in rotational equilibrium, the sum of the torques acting on it must be equal to zero. Therefore, the torques acting on one side of the beam must be equal and opposite to the torques acting on the other side of the beam.
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changes in acceleration:unbalanced forces::__________:balanced force a no changs in acceleration b gravity c stretched rubber band d friction
Answers
Answer:
Explanation:
No changes in acceleration
when a blinking light source moves relative to you, the speed of the light group of answer choices remains constant but the frequency of blinks can change. stays the same, as does the blinking frequency. changes but the frequency of blinks remains constant.
Answers
When the blinking light sources moves relative to us, the speed of light remains constant but frequency of blinks can change.
What is frequency?Frequency of a light wave is the number of wave cycles obtained per unit time. Thus it is inverse of the time and has the unit of s⁻¹ which is equivalent to 1 hertz, Hz.
The speed of light is constant at any direction or for any distance and it is equal to the value 3 × 10⁸. This constancy of light is introduced from the theory of special relativity.
When the light source moves closer to the observer, the number of wave cycles catches by the observer increases thereby the frequency. Therefore when the blinking light moves closer to us, its frequency changes but speed remains constant.
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1) both lights will blink at the same time every 20 seconds
2)Both lights will blink at the same time every 36 seconds
3) 2 lights will blink together is that you must find the least common factor (LCM) of both numbers and when both hit the same number then that is when both lights blink at the same time.
When speed of light remains constant?When a blinking light source moves relative to you, the speed of the light remains constant but the frequency of blinks can change. stays the same, as does the blinking frequency. changes but the frequency of blinks remains constant.
For example, for number 1 we have 4 and 5 seconds when the lights blink
4: 4, 8, 12, 16, 20...
5: 5, 10, 15, 20...
we see that the LCM factor is 20 and that is when both lights will hit at the same time.
Therefore, 1) both lights will blink at the same time every 20 seconds
2)Both lights will blink at the same time every 36 seconds
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when a bucket full of water is pulled of from a well,in which condition: either inside or outside the water is it difficult to lift up and why?
Answers
Answer:
Well there is gravitational force acting on the bucket ,gravitational force is a downward force so it will be acting on the bucket making it harder to lift it
what happens when energy intake is high and energy demands are low?
Answers
When energy intake is high and energy demands are low, several things can occur in the body:
1. Energy storage: Excess energy from the high intake is typically stored in the form of fat. The body converts the excess energy into triglycerides and stores them in adipose tissue for later use.
2. Weight gain: The excess energy being stored as fat leads to weight gain. Over time, consistent high energy intake and low energy demands can contribute to obesity and associated health issues.
3. Metabolic slowdown: The body adjusts its metabolism based on energy intake and demands. In this scenario, where energy demands are low, the body may downregulate its metabolism to conserve energy. This can result in reduced energy expenditure and a decrease in overall metabolic rate.
4. Increased risk of chronic diseases: Consistently high energy intake coupled with low energy demands can increase the risk of developing chronic diseases such as type 2 diabetes, cardiovascular diseases, and metabolic syndrome.
It's important to maintain a balance between energy intake and energy demands to support overall health and well-being. Regular physical activity and a balanced diet that meets the body's energy requirements can help achieve this balance.
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A solenoid 50 cm long is wound with 500 turns of wire. The cross-sectional area of the coil is 2.0cm2 What is the self-inductance of the solenoid
Answers
A solenoid 50 cm long is wound with 500 turns of wire. The cross-sectional area of the coil is 2.0cm². The self-inductance of the solenoid will be 12.56 x 10⁻⁵ H.
Given :
length (l) = 50cm = 5 x 10⁻² mCS area (A) = 2cm² = 2 x 10⁻⁴ m²Number of turns (n) = 500The self-inductance is given as,
L = \(\frac{\mu^oN^2A }{l}\)
L = \(\frac{4\pi * 10^-^7* 500^2 *2 10^-^4}{50 * 10^-^2}\)
L = 4π x 10⁴ x 10⁻⁹
L = 4 x 3.14 x 10⁻⁵
L = 12.56 x 10⁻⁵ H
Hence , The self-inductance of the solenoid will be 12.56 x 10⁻⁵ H.
Self inductance is defined as the induction of a voltage in a current-carrying wire when the current in the wire itself is changing. In the case of self-inductance, the magnetic field created by a changing current in the circuit itself induces a voltage in the same circuit.
Therefore, the voltage is self-induced.
The term inductor is used to describe a circuit element possessing the property of inductance and a coil of wire is a very common inductor. In circuit diagrams, a coil or wire is usually used to indicate an inductive component. Taking a closer look at a coil will help understand the reason that a voltage is induced in a wire carrying a changing current.
The alternating current running through the coil creates a magnetic field in and around the coil that is increasing and decreasing as the current changes.
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Pagkatuto Bilang 2: Anong pagsubok ang ipinakikita sa Ibigay ang tawag sa pagsubok na ito. Gawin ito sa inyong Gawain sa larawan. kuwaderno.
P.E.
Answers
Answer:
Three Minute Step Test
Push Up
Zipper Test
Sorry di ko po alam lahat
a spoon is raised 21.0 cm above a table. if the spoon and its contents have a mass of 30.0 g, what is the gravitational potential energy associated with the spoon at that height relative to the surface of the table?
Answers
The gravitational potential energy associated with the spoon at 21 cm above the surface of the table is 0.06174 Joule.
Potential energy is a kind of energy that an object has due to its position to other objects.
If the force between two objects is a gravitational force, then the potential energy is called gravitational potential energy.
The gravitational potential energy can be calculated as:
P.E = mg h
Where:
m = mass of the object
g = acceleration due to gravity = 9.8 m/s²
h = height relative to a reference point
In the given problem, the reference point is the table. Hence,
h = 21.0 cm = 0.21 m
m = 30 g = 0.03 kg
Then,
P.E = 0.03 x 9.8 x 0.21 = 0.06174 Joule.
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21) Y=2+3 solve for y
Answers
Answer:
This must be harder than it appears or I'm missing something, but as far as I know y=5
Explanation:
Y=5
I hope this helps!
Describe the relationship between the state of matter of water (gas, liquid, solid) and the motion of the water molecules.
Answers
Answer:
ok
Explanation:
solid- molecules are close together and vibrating
liquid - molecules are loser, faster moving and take the shape of its container
gas- fast moving molecules and take whatever shape they want (like a room or the air outside)
Explanation:
Solids: The inter-molecular attraction force is the highest and the inter-molecular distance is the least. Solids have definite shape and volume.
Liquids: The inter-molecular attraction force is less than that of solids and the inter-molecular distance is more than solids. Liquids have definite volume but no definite shape.
Gases: The inter-molecular attraction force is the least and the inter-molecular distance is the highest. Gases have no definite shape or volume.
A car travelling 10m/s increases its speed to 20m/s over a time of 4s. What is the acceleration of the car? A car is traveling at a speed of 15m/s. It experiences an acceleration of -3m/s^2, that lasts for 4 seconds. What is the final velocity of the car? I need an expanation on HOW to solve this.
Answers
Answer:
Explanation:
Acceleration is the change in velocity with respect to time.
Acceleration = change in velocity/Time
Acceleration = final velocity - initial velocity/Time
Given initial velocity = 10m/s
Final velocity = 20m/s
Time taken = 4s
Acceleration = 20-10/4
Acceleration = 10/4
Acceleration =2.5m/s²
For the second part of the question:
Given parameters
initial velocity = 15m/s
acceleration = -3m/s²
time = 4seconds
a = v-u/t
-3 = v-15/4
cross multiply
-12 = v-15
add 15 from both sides
-12+15 = v-15+15
3 = v
Hence the final velocity of the car is 3m/s
If your engine is flooded with gasoline, you should push the ____ to the floor and hold for _____.
a. accelerator, 5 seconds
b. accelerator, 1 minute
c. brake, 1 minute
d. brake, 5 seconds
Answers
If your engine is flooded with gasoline, you should push the brake, to the floor and hold for 5 seconds.
What is gasoline?Gasoline or petrol is a transparent, petroleum-derived flammable liquid that is used primarily as a fuel in most spark-ignited internal combustion engines. Gasoline is already considered frozen if it turns into a thick sludge or wax. To totally avoid frozen gasoline inside the car, focus on preventing the fuel line from freezing during winter. Stale gasoline can be dangerous as it contains a combination of over 150 chemicals that can destroy both animal and human lives. Gasoline vapors are heavier than air, so they settle on the ground and travel like a liquid. Because of this, they often find their way into drains, basements, and sewer lines.
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