Answer:
q₂ = 3.81 x 10⁻⁸ C = 38.1 nC
q₁ = 7.63 x 10⁻⁸ C = 76.3 nC
Explanation:
The force between two charges is given by Coulomb's:
F = kq₁q₂/r²
where,
F = Force = 0.00081 N
k = Coulomb's Constant = 9 x 10⁹ Nm²/C²
q₁ = magnitude of 1st charge
q₂ = magnitude of second charge
r = distance between charges = 18 cm = 0.18 m
Therefore,
0.00081 N = (9 x 10⁹ Nm²/C²)q₁q₂/(0.18 m)²
q₁q₂ = (0.00081 N)(0.18 m)²/(9 x 10⁹ Nm²/C²)
q₁q₂ = 2.916 x 10⁻¹⁵ C²
q₁ = 2.916 x 10⁻¹⁵ C²/q₂ --------------- equation (1)
It is given that:
q₁ = 2q₂ --------------- equation (2)
Comparing equation (1) and equation (2):
2q₂ = 2.916 x 10⁻¹⁵ C²/q₂
q₂² = 2.916 x 10⁻¹⁵ C²/2
q₂ = √14.58 x 10⁻¹⁶ C²
q₂ = 3.81 x 10⁻⁸ C = 38.1 nC
using this value in equation (2):
q₁= 2(3.81 x 10⁻⁸ C)
q₁ = 7.63 x 10⁻⁸ C = 76.3 nC
HELP!! Explain why a more streamlined car generally will have a better fuel economy than a bulkier car with the same mass.
Answer: A streamlined car will be more aerodynamic causing it be more fuel efficient.
Explanation: Aerodynamic-of or having a shape which reduces the drag from air moving past. A bulkier car will be less aerodynamic meaning that the air that hits it won't go around but push it back causing it to use more power which causes it to use more fuel. A streamlined car will allow air to flow around and over the car, a streamlined car will usually be less like a box and have more curves.
the value of g is greater at the poles than at the equator why
Answer:
because the gravitational pull is maximum at the poles and decreases as it comes down toward the equator.
A 7.0 kg cannonball flying rightward at 12 hits a stationary rock. The cannonball keeps moving in the same
S
m
m
direction at 2.0 after the collision but sends the rock flying at 14 towards right
S
S
What is the mass of the rock?
Answer:
5.0 kg
Explanation:
use the equation; (m1v1i) + (m2v2i) = (m1v1f) + (m2v2f)
an airplane flies 1,592 miles east from arizona to georgia in 3.68 hours. what is the average velocity of the airplane
Answer: Around 433 miles
Explanation:
An elevator weighs 8,000 N of force. What is the mass of the elevator
Answer:
Mass, m = 816.33kg
Explanation:
Weight can be defined as the force acting on a body or an object as a result of gravity.
Mathematically, [tex] Weight, W = mg[/tex]
Where;
m is the mass of an object. g is acceleration due to gravity.Making mass, m the subject of formula, we have;
[tex] Mass, m = \frac {W}{g} [/tex]
Given the following data;
Weight = 8000N
We know acceleration due to gravity is equal to 9.8 m/s²
Substituting into the equation, we have;
[tex] Mass, m = \frac {8000}{9.8} [/tex]
Mass, m = 816.33kg
Therefore, the mass of the elevator is 816.33kg.
Why are black holes so deeply part of the collective imagination (books, movies, songs, video games, comics, paintings, etc)?
Answer:
Black holes are some of the strangest and most fascinating objects in outer space. They're extremely dense, with such strong gravitational attraction that even light cannot escape their grasp if it comes near enough. so when in books, movies, songs, video games, comics, paintings, etc you can imagine the impossible. as in escaping a black hole
Explanation:
what is meant by heat energys
Answer:
heat energy is the form of energy produced by heat
when we burn heat a type of enery is came
Particles in a substance move __ when more thermal energy is transferred to that object.
that object.
A faster
B slower
IF a car trip 400 km in four hours what is the rate of speed that a car is traveling?
The car on a track begins at the 80-cm mark. The car moves in the negative direction at a speed of 5 cm/s. After three seconds, a. What distance has the car traveled? b. What is the displacement of the car? c. What is the car's new position on the track? Please hurry up
Answer:
a) The car travelled a distance of 15 centimeters.
b) The displacement of the car is -15 centimeters.
c) The new position of the car on the track is 65 centimeters.
Explanation:
a) From Mechanical Physics we know that the distance travelled is magnitude of the route covered by the vehicle. If this car travels in a straight line and at constant velocity, then we can calculate the distance traveled by the following expression:
[tex]\Delta s = v\cdot \Delta t[/tex] (Eq. 1)
Where:
[tex]v[/tex] - Speed of the car, measured in centimeters per second.
[tex]\Delta t[/tex] - Time, measured in seconds.
[tex]\Delta s[/tex] - Distance travelled by the car, measured in meters.
If we get that [tex]v = 5\,\frac{cm}{s}[/tex] and [tex]\Delta t = 3\,s[/tex], then the distance travelled by the car is:
[tex]\Delta s = \left(5\,\frac{cm}{s} \right)\cdot (3\,s)[/tex]
[tex]\Delta s = 15\,cm[/tex]
The car travelled a distance of 15 centimeters.
b) The displacement is the vectorial distance between final and initial position. Then, we find that initial and final positions of the car are, respectively:
Initial position:
[tex]s_{o} = 80\,cm[/tex]
Final position: ([tex]s_{o} = 80\,cm[/tex], [tex]\Delta s = 15\,cm[/tex])
[tex]s_{f} = s_{o} -\Delta s[/tex] (Eq. 1)
[tex]s_{f} = 80\,cm-15\,cm[/tex]
[tex]s_{f} = 65\,cm[/tex]
And the displacement of the car is: ([tex]s_{o} = 80\,cm[/tex], [tex]s_{f} = 65\,cm[/tex])
[tex]d = s_{f}-s_{o}[/tex] (Eq. 2)
[tex]d = 65\,cm-80\,cm[/tex]
[tex]d = -15\,cm[/tex]
The displacement of the car is -15 centimeters.
c) The position of the car is its location regarding a point of reference. From point b) we find that the new position of the car on the track is:
[tex]s_{f} = 65\,cm[/tex]
The new position of the car on the track is 65 centimeters.
How much work is done when a girl applies a force of 80 N to move an object 4 m, and then moves the object 1 m back?
Answer:
[tex]w = \underline{{ \boxed{400 \: J }}} [/tex]
Explanation:
[tex]work \: done = \boxed{force \times distance} \\ w = 80 \times (4 + 1) = 80 \times 5 \\ w = \underline{{ \boxed{400 \: J }}} [/tex]
A ball is thrown up into the air with the initial velocity of 18 m/s. A) How high does the ball go? B) Calculate the time needed for the ball to reach its max height.
Answer:
(a) h = 16.53 m (b) t = 1.83 s
Explanation:
Given that,
The initial velocity of a ball, u = 18 m/s
When it reaches to the maximum height, its final velocity v will be 0. Let it goes to a maximum height of h meters.
Finding t using first equation of motion as follows :
v = u +at
Here, a = -g and v = 0
[tex]t=\dfrac{u}{g}\\\\t=\dfrac{18}{9.8}\\\\t=1.83\ s[/tex]
The time needed for the ball to reach its max height is 1.83 s.
Let h is the maximum height. Using second equation of motion to find it :
[tex]h=ut-\dfrac{1}{2}gt^2\\\\h=18(1.83)-\dfrac{1}{2}\times 9.8\times (1.83)^2\\\\h=16.53\ m[/tex]
So, it will go to a maximum height of 16.53 m.
5 points
At 55 minutes how fast is the object moving?*
velocity
B01
B
60
40
А
20
me
min
D
20
40
10
20
30
50
55 m/s
60 m/s
20 m/s
0 m/s
Answer:
9 answer hai brown
Gamma rays are given out from the
of radioactive atoms. What one word completes the sentence??
Gamma rays are given out by the nucleus of certain radioactive materials. Radioactive material ray causes harm to the human beings and environment.
What is gamma-decay?Gamma decay is the production of extremely high-frequency electromagnetic radiation in order to stabilize the unstable nucleus. You must be well-versed in the various energy levels found in an atom.
The Nucleus has its own amount of energy. Gamma decay is the nucleus' method of transitioning from a higher energy level to a lower energy level by emitting high energy photons.
Gamma rays are given out by the nucleus of certain radioactive materials.
Hence, nucleus is the right answer for the blank.
To learn more about the gamma decay, refer to the link;
https://brainly.com/question/25455333
#SPJ2
Why might measuring changes in speed or direction be important?
what is a car's acceleration between 25 s and 30 s?
What are some signals of autism?
Answer:
The range and severity of symptoms can vary widely. Common symptoms include difficulty with communication, difficulty with social interactions, obsessive interests, and repetitive behaviors.
At any age
1. Loss of previously acquired speech, babbling or social skills.
2. Avoidance of eye contact.
3. Persistent preference for solitude.
4. Difficulty understanding other people's feelings.
5. Delayed language development.
6. Persistent repetition of words or phrases (echolalia)
7. Resistance to minor changes in routine or surroundings.
Have a nice day ✨16.
The parents in Jana's neighborhood rely on her to baby-sit for them. Jana loves little children
and is very good with them. She enjoys her babysitting business on some week nights and
many weekends. She has dance class 4 times a week. Therefore, Jana has difficulty finding
time to do her homework What area is she weak in?
Answer:
doing her homework/finding time to do important things
why is friction possible to slip on the wet floor
Answer:
why is friction possible to slip on the wet floor
Explanation:
This is because the coefficient of friction μ and the therefore resultant force of limiting friction Fs is significantly reduced when a lubricant is introduced between the the two kinetic or static surfaces.
Answer:
Pls mark me brainliest. the ans
Explanation:
Wet floors have less friction so there is a lesser chance of slipping. This is because the coefficient of friction μ and the therefore resultant force of limiting friction Fs is significantly reduced when a lubricant is introduced between the the two kinetic or static surfaces.
A ball is thrown vertically upwards with a velocity of 9.8 m/s. Its velocity after 1 second will be
[ Take g = 9.8 ms¯²]
9.8 m/s
19.6 m/s
Zero
2.45 m/s
[tex] \LARGE{ \underline{\underline{ \purple{ \bf{Required \: answer:}}}}}[/tex]
GiveN:
Initial velocity = 9.8 m/s²Accleration due to gravity = -9.8 m/s²Time taken = 1 sTo FinD:
Final velocity of the ball?Step-by-step Explanation:
Using the first Equation of motion,
⇒ v = u + gt
⇒ v = 9.8 + -9.8(1)
⇒ v = 0 m/s
The final velocity is hence 0 m/s.
Note:While solving questions of under gravity motions using equations of motion, remember the sign convection to avoid mistakes.You can consider positive above the ground and negative for towards it.One of the largest pipe organs is in the aŭditorium organ in the Fox Theatre. The pipe is 32
ft. long and produces a sound with a wavelength of about 8.8m. If the speed of sound in air is 346
m/s what is the frequency of this sound? What is the period? Show all work and explain your
answer. (12 pts.)
Answer:
Explanation:
Wave Period and Frequency In this video Paul Andersen explains how the period is the time between wave and the frequency is the number of ... Your browser does not currently recognize any of the video formats available. ... Show less Show more ... Waves: Light, Sound, and the nature of Reality.
__________ ___________ are movements you do to loosen up your joints.
A .Dynamic Stretches
B. Static Stretches
Answer:
Dynamic stretches
Explanation:
Dynamic stretches are active movements where joints and muscles go through a full range of motion. When you do dynamic stretches you do not hold the stretch, instead you stretch with movement.
The density of an object has the equation d = m/v. if an object has a mass of
2.5 g and a volume of 1.3 cm3, what is its density?
Answer:
The answer is 1.92 g/cm³Explanation:
The density of a substance can be found by using the formula
[tex]density = \frac{mass}{volume} \\ [/tex]
From the question we have
[tex]density = \frac{2.5}{1.3} \\ = 1.923...[/tex]
We have the final answer as
1.92 g/cm³Hope this helps you
A crane lifts a 75kg mass a height of 8 m. Calculate the gravitational potential energy gained by the mass (g = 9.8 N/kg.
pls help i will give u brianliest!
Answer:
Explanation:
neautrons and protons
How does acceleration measure. A.change in speed over time
B. Change in displacement overtime
C. Change in distance over time
D. Change in velocity over time
Answer:
D
Explanation:
Acceleration is the rate of change in velocity experienced by an object, measured in meter per second.
Answer:
Change in velocity
Explanation:
a-pe-x
NEED HELP TODAY
Which of the following is true about the speed of light?
A. It depends on the wavelength
B. In a vaccum, it is a constant value that does not depend on the observer
C. It is the slowest in a vacuum unless the observer is moving towards the source
D. In a vacuum, it varies depending on the color of the light
Answer:
I am pretty sure it is B My friend hope you are well
Explanation:
Answer:
B- It is a constant when the light is traveling in a vacuum.
Explanation:
"Light in a vacuum always travels at the same speed." Those additional three words in a vacuum are very important. A vacuum is a region with no matter in it. So a vacuum would not contain any dust particles (unlike a vacuum cleaner, which is generally full of dust particles)
What best describes the volcanic process of magma with dissolved water vapor and other gases as it nears the Earth surface?
Pressure on the molten rock lessens and the gases quickly dissipate into the atmosphere.
Explosive gases such as methane and ethane combine with oxygen and ignite violently in the atmosphere.
Pressure on the molten rock lessens the rock rapidly expands to the point that it explodes and ejects into the atmosphere.
Pressure on the molten rock lessens and the gases dissolved in rock can bubble and expand rapidly causing violent eruptions.
Answer:
Pressure on the molten rock lessens and the gases dissolved in rock can bubble and expand rapidly causing violent eruptions.
Explanation:
that's just how it works lol. hope this helps :]
Answer:D
Explanation: got it right on mine
The diagram below shows the velocity vectors for two cars that are moving relative to each other.
From the frame of reference of car 1, what is the velocity of car 2?
Answer:
The answer is "[tex]5 \ \frac{m}{s} \ west[/tex]"
Explanation:
[tex]\to \vec{V_1} = (25 \frac{m}{s}) (\hat{-i})\\\\\to \vec{V_2} = (20 \frac{m}{s}) (\hat{-i})\\\\[/tex]
velocity of car | respect to car :
[tex]\to \vec{V_{12}} = \vec{V_1} - \vec{V_2}\\\\[/tex]
[tex]=\vec{-25} \hat{i}+ \vec{20} \hat{i}\\\\= 5 \ \frac{m}{s} \ west[/tex]
Answer:
70 m/s east
Explanation:
A go-kart and rider have a mass of 14 kg. If the cart accelerates at 6 m/s² during a 40 m sprint in 100 seconds, how much power did the cart do?
Answer:
P=33.6 \ W
Explanation:
Mechanical Work and Power
Work is the amount of energy transferred by a force. It's a scalar quantity, with SI units of joules.
Being [tex]\vec F[/tex] the force vector and [tex]\vec s[/tex] the displacement vector, the work is calculated as:
[tex]W=\vec F\cdot \vec s[/tex]
If both the force and displacement are parallel, then we can use the equivalent scalar formula:
[tex]W=F.s[/tex]
Mechanical Power is the amount of energy transferred or converted per unit of time. The SI unit of power is the watt, equal to one joule per second.
The power can be calculated as:
[tex]\displaystyle P=\frac {W}{t}[/tex]
Where W is the work and t is the time.
If an object of mass m has an acceleration a, the net force is:
F=m.a
The go-kart and rider have a mass of m=14 kg and accelerate at [tex]6 m/s^2[/tex], thus the net force applied is:
[tex]F=14\cdot 6 = 84\ N[/tex]
The work done by the cart when traveling d= 40 m is:
[tex]W=84\cdot 40[/tex]
[tex]W=3,360\ J[/tex]
Finally, the power for t= 100 seconds is:
[tex]\displaystyle P=\frac {3,360}{100}[/tex]
P=33.6 \ W
