Answer:
r₁ = 20.5 cm
Explanation:
In this exercise we can use the conservation of energy
the gravitational power energy is always attractive, the electrical power energy is repulsive if the charges are of the same sign
starting point.
Em₀ = U_g + U_e + K = [tex]-G \frac{m_1m_2}{r} +k \frac{q_1q_2}{r} - 2 ( \frac{1}{2} m v^2)[/tex]
the two in the kinetic energy is because they are two particles
final point. When it is detained
Em_f = U_g + U_e = [tex]-G \frac{m_1m_2}{r_1} + k \frac{q_1q_2}{r_1}[/tex]
the energy is conserved
Em₀ = em_f
the charges and masses of the two particles are equal
[tex]-G \frac{m^2}{r} + k \frac{q^2}{r} + m v^2 = - G \frac{m^2}{r_1} + k \frac{q^2}{r_1}[/tex]
sustitute the values
-6.67-11 (4.5 10-3) ² / 0.25 - 9, 109 (30 10-9) ² / 0.25 + 4.5 10-3 4² = - 6.67 10- 11 (4.5 10-3) ² / r1 -9 109 (30 10-9) ² / r1
-5.4 10⁻¹⁵ + 3.24 10⁻⁵ - 7.2 10⁻⁵ = -1.35 10⁻¹⁵ / r₁ + 8.1 10⁻⁶ / r₁
We can see that the terms that correspond to the gravitational potential energy are much smaller than the terms of the electric power, which is why we depress them.
3.24 10⁻⁵ - 7.2 10⁻⁵ = 8.1 10⁻⁶ / r₁
-3.96 10⁻⁵ = 8.1 10⁻⁶ / r₁
r₁ = 8.1 10⁻⁶ /3.96 10⁻⁵
r₁ = 2.045 10⁻¹ m
r₁ = 20.5 cm
An airplane flew from San Francisco to Washington, D.C. Approximately
halfway through the flight, the plane had traveled 2,000 km in 2.5 hours.
What was the speed during this period?
Another airplane is flying in the opposite direction. It covers the same distance in exactly 2 hours. What was its speed and direction during this period?
Answer:
The solution is given below:
Explanation:
The computation of the speed is shown below
As we know that
Speed = distance ÷ time
where
distance is 2000 km
And, the time is 2.5 hours
SO, the speed is
= 2,000 ÷ 2.5
= 800 km/h
Now the distance would be the same i.e. 2,000 km
but the time is 2 hours
So, the speed is
= 2,000 km ÷ 2 hours
= 1,000 km/hr
The direction should be opposite to the first airplane
A healthy person has body temperature 37°c,What is temperature on Fahrenheit scale? Show by calculation.
Answer:
98.6 degrees Fahrenheit.
Explanation:
Human body temperature is 37.0 degrees Celsius or 98.6 degrees Fahrenheit.
help!
the potential difference between two points, a and b, in an electric field is 2.00 volts. the energy required to move a charge of 8.00x10^-19 coulomb from point a to point b is
Answer:
1.60 x 10^-18 J
Explanation:
we know that, Work done = Voltage x Charge,
hence we get as,
Energy = V x Q
E = 2 x (8.0 * 10^-19)
==> E = 16 x 10^-19
=> E = 16/10 x 10^-18
==> E = 1.60 x 10^-18 J
Total momentum before a collision is equal to total momentum after a collision.what does this define
Answer:haha
Explanation:dont know
The small piston of the hydraulic press with an area of 20 cm² is subjected to a force of 200 N and has lowered by 50 cm. What force acts on a large piston with an area of 0.01 m² and to what height did it rise? (I already found out that large piston force is 1000N how do I calculate in what height did it rise?)
Answer:
The large piston would rise by [tex]10\; \rm cm[/tex] (which is equal to [tex]0.1\; \rm m[/tex].)
Explanation:
Convert the unit of the area of the larger piston to [tex]\rm cm^{2}[/tex]:
[tex]0.01\; \rm m^{2} = 100\; \rm cm^{2}[/tex].
If the pipe is cylindrical, the liquid that the smaller piston pushed into the pipe would be a cylinder:
Height of the cylinder: [tex]50\; \rm cm[/tex].Area of the top of the cylinder: [tex]20\; \rm cm^{2}[/tex] (same as the area of the smaller piston.)Volume of liquid that the smaller piston pushed into the pipe:
[tex]\begin{aligned} & \text{Volume of Cylinder} \\ &= \text{Area of the Top of the Cylinder} \\ &\quad\quad \times \text{Height of Cylinder} \\ &= 20\; \rm cm^{2} \times 50\; \rm cm \\ &= 1000\; \rm cm^{3} \end{aligned}[/tex].
Unlike gas, the volume of a liquid (such as the one in this hydraulic press) at a given temperature tends to be fixed.
Therefore, when the small piston pushed [tex]1000\; \rm cm^{3}[/tex] of liquid into the pipe, liquid of the exact same volume ([tex]1000\; \rm cm^{3}\![/tex]) would appear under the larger piston and push the larger piston upwards.
Rearrange the equation to find the height by which the larger piston rises (same as the height of the [tex]1000\; \rm cm^{3}[/tex] liquid cylinder under the larger piston.)
[tex]\begin{aligned} & \text{Height of Cylinder} \\ &= \frac{\text{Volume of the Cylinder}}{\text{Area of the Top of the Cylinder}} \\ &= \frac{1000\; \rm cm^{3}}{100\; \rm cm^{2}} = 10\; \rm cm \end{aligned}[/tex].
Light travels through a vacuum at a speed of 3 x 10 m/s. What is the speed of
light in water if the index of refraction is 1.333?
Answer:
v = c / n (n = 1 for air)
v = c / 1.33 = 3 * 10E8 m/s / 1.33 = 2.25 * 10E8 m/s
A bird sits on a uniform rod suspended from vertical wires P and Q.
i
x !
'
v
P a
1
not to scale
15.0 cm
2W
The rod has a weight J’ and is 15.0 & long.
The weight of the bird is 2’ and acts at a distance x from P.
What is the value of x when the tension in P is half the tension in Q?
[1 mark]
A 7.50 cm [=]
B 10.0cm [e]
Cc 13cm fe]
D 15.0cm [e]
!
A police car is traveling due east at a speed of 15.0 m/s relative to the earth. You are in a convertible following behind the police car. Your car is also moving due east at 15.0 m/s relative to the earth, so the speed of the police car relative to you is zero. The siren of the police car is emitting sound of frequency 500 Hz. The speed of sound in the still air is 340 m/s.
a.) What is the speed of the sound waves relative to you?
b.) What is the wavelength of the sound waves at your location?
c.) What frequency do you detect?
Answer:
A.) 355 m/s
B.) 0.71 m
C.) 500Hz
Explanation:
Given that a police car is traveling due east at a speed of 15.0 m/s relative to the earth. You are in a convertible following behind the police car. Your car is also moving due east at 15.0 m/s relative to the earth, so the speed of the police car relative to you is zero. The siren of the police car is emitting sound of frequency 500 Hz. The speed of sound in the still air is 340 m/s
a.) What is the speed of the sound waves relative to you?
Since the car is moving away from the observer, the relative velocity will be:
Relative velocity = 340 + 15
Relative velocity = 355 m/s
b.) What is the wavelength of the sound waves at your location?
Using the wave speed formula
V = frequency × wavelength
Make wavelength the subject of formula.
Wavelength = Velocity / frequency
Wavelength = 355/500
Wavelength = 0.71 m
c.) What frequency do you detect?
Fo = Fs ( C + V ) / ( C + v )
Fo = Fs
That is, the frequency of the observer will be equal to the frequency of the source.
Therefore, Fo = 500Hz
PLEASE HELP ASAP-SCIENCE EXAM-WILL GIVE BRAINLIEST-NO FILES
Speed can be defined as
A. the rate that something moves and is calculated by taking distance divided by time
B. the distance an object went from one place to another
C. the amount of time an object spends in motion
Answer:
A. the rate that something moves and is calculated by taking distance divided by time
A ball from to a planet that has a gravitational acceleration that double that of Earth How does the gravitational force on the new planel c gravitational force on the ball when on Earth?
Answer:
Explanation:
The gravitational force on the ball when it is on the new planet is double the force on the ball when it is on Earth. The gravitational force on the ball when it is on the new planet is half the force on the ball when it is on Earth.
why silicon have large forward current as compared to germanium?
Answer:
The structure of Germanium crystals will be destroyed at higher temperature. However, Silicon crystals are not easily damaged by excess heat. Peak Inverse Voltage ratings of Silicon diodes are greater than Germanium diodes. Si is less expensive due to the greater abundance of element.
Should there be a salary cap for professional athletes?
answer:
From the fan side: Salary caps mean better competition and more parity between all teams in a given league (in theory, anyway). Salary caps in the NFL, NBA and NHL can foster this, but in MLB, luxury tax requirements may not be enough to prevent large-market teams from dominating.
plz mark me as brainliest plzzzz
According to Lenz's law, the current is induced in the closed conducting loop in such a direction that the magnetic field induced by this current opposes the change in the flux through the loop.
a. True
b. False
Answer:
True
Explanation:
It is true that the real definition of lenz's law in magnetism is the current is induced in the closed conducting loop in such a direction that the magnetic field induced by this current opposes the change in the flux through the loop.
This means that induced current opposes the very cause that produces it.
Which particles
are
electrically neutral?
А
electrons
B
protons
C
neutrons
D
all of the above
For flocabulary
Answer:
C. Neutrons
Explanation:
Protons +
Electron -
the equation of a progressive
by y=0.02 sin2π/0.5 (320t - x) where x and y are in
meters and t is in second
find the
il amplitude
i frequency
wavelengths
velocity of the Progress in
waveم ا )
Answer:
Amplitude = 0.02m
Frequency = 640 Hz
Wavelength, λ = 0.5m
v = 320 m/s
Explanation:
Given the wave equation :
y=0.02 sin2π/0.5 (320t - x) where x and y are in
meters and t is in second
Comparing the above relation with the general wave equation :
y(x, t) = Asin2π/λ(wt - kx)
The amplitude, A = 0.02
From the equation :
2π/0.5 = 2π/λ
λ = 0.5 m
320t = vt
Hence, v = 320 m/s
Recall :
v = fλ
320 = f * 0.5
f = 320 / 0.5
f = 640 Hz
Pls help will give brainlist
Which diagram best represents the electric field around a negatively charged conducting sphere? (See pic)
The diagram which represents the electric field around a negatively charged conducting sphere is: Image D.
What is an electric charge?An electric charge can be defined as a fundamental, physical property of matter, that typically governs how particles are affected by an electric field or electromagnetic field, especially due to the presence of an electrostatic force.
The electric field around a negatively charged conducting sphere are all attracted to the sphere in accordance with the law of electrostatic forces, as depicted by Image D in the given diagram.
Read more on charge here: brainly.com/question/4313738
Tell whether the picture below shows a
[tex]sport[/tex]
or
[tex]game[/tex]
Write your answer on your notebook.
Answer:
1. game
2. game
3. game
4. sports
5. sports
6. game
7. game
8. sports
hope it helps:)
Answer:
1. sports
2. game
3. game
4. sports
5. sports
6. sports
7. game
8. game
What question were you trying to answer in this study?
A. Why are the lightbulbs exploding?
B. Why are the lightbulbs melting?
C. Why are the lightbulbs so dim?
D. Why are the lightbulbs burning out?
A force F is exerted at a distance D from the axis of rotation of a wrench and is exerted at an angle θ to the wrench (θ is the angle between the direction of the force and the wrench). What force f could be exerted on the wrench at a distance 2D and perpendicular to the wrench so that the torques created by the two forces are EQUAL. Give your answer in terms of F and θ.
Answer:
Torque = R X F = R * F sin theta
-f * 2R will exert an equal opposite torque
-f * 2 = F sin theta
f = -F sin theta / 2
In the circuit shown below, 0.25 A of current flows through a 20-Ω resistor. How much voltage is needed to produce this current?
A. 80 V
B. 0.013 V
C. 19.75 V
D. 5 V
Answer:
5 V
Explanation:
V = IR
V = .25A * 20 Ohms = 5 V
Sarah is a 30 year old white female. Her occupation is part time chef. She is recently been divorced and has custody of
her three children. She has extreme changes in her mood that began to appear in her 20's but she never went to
see a
doctor about them. When family tries to talk to her about her upset, she reacts by becoming angry and blaming them
for her situation. She is currently complaining of crying episodes, not eating, headaches, thinking she is a failure,
spending most of her time in bed, and not being interested in activities she once enjoyed doing with her kids, such as
going to the park and seeing movies. Her mother and grandfather also showed signs of mental illness and she
reported that her mom has taken Depakote before, which helped. Sarah wants to open her own restaurant and move to
a bigger house.
1. Please answer the following questions by referring to the above case study and the assigned reading for this
unit:
• What psychological and physical symptoms does Sarah present with?
. What is the primary psychological disorder diagnosis that fits her symptoms based on the disorders
described in the textbook?
Answer:
how to deal with devoirce
Explanation:
The psychological and physical symptoms that Sarah presents include:
She frequently has headaches.She also has a loss of appetite.She gets angry easily.From the information given, we can infer that some of the symptoms include the fact that Sarah frequently has headaches, loss of appetite, and gets angry easily.
The primary psychological disorder diagnosis that fits her symptoms based on the disorders will be depression. She's depressed because she just got divorced. This has taken a toll on her health.
Read related link on:
https://brainly.com/question/19276767
we cannot work without food why
Answer:
Food supplies the body with energy and without energy the body cannot work.
in the early solar system,comets that struck earth may have brought in
A.water
B.advanced life
c.plankton
D.all of the above
[tex]\huge{\mathbb{\tt { QUESTION↓}}}[/tex]
In the early solar system,comets that struck earth may have brought in
[tex]\color{green}{\tt{O} \: \: \color{black}{\tt {A.water}}}[/tex]
[tex]\color{green}{\tt{O} \: \: \color{black}{\tt {B.Advanced Life}}}[/tex]
[tex]\color{green}{\tt{O} \: \: \color{black}{\tt {C.Plankton}}}[/tex]
[tex]\color{green}{\tt{O} \: \: \color{black}{\tt {D. All \: of \: the \: above}}}[/tex]
[tex]\huge{\mathbb{\tt { ANSWER↓}}}[/tex]
[tex]\color{red}{\tt {D. \: All \: of \: the \: above}}[/tex]
[tex]\color{black}{\tt {because \: the \: true \: answer \: is \: comet}}[/tex]
[tex]{\boxed{\boxed{\tt{WHAT \: IS \: COMET?}}}}[/tex]
[tex]\color{black}{\tt{A \: comet \: is \: an \: icy, \: small \: Solar \: System \: body}}[/tex]
[tex]\color{black}{\tt { that, \: when \: passing \: clos \: e to}}[/tex]
[tex] \color{black}{\tt {the \: Sun, \: warms \: and \: begins \: to \: release}}[/tex]
[tex]\color{black}{\tt { gases, \: a \: process \: that \: is \: called \: outgassing. }}[/tex]
[tex]\color{black}{\tt{This \: produces \: a \: visible \: atmosphere \: or \: coma,}}[/tex]
[tex]\color{black}{\tt{and \: sometimes \: also \: a \: tail}}[/tex]
#CarryOnLearning
#LetsEnjoyTheSummer
→XxKim02xXSuppose you are planning a trip in which a spacecraft is to travel at a constant velocity for exactly six months, as measured by a clock on board the spacecraft, and then return home at the same speed. Upon return, the people on earth will have advanced exactly 90 years into the future. According to special relativity, how fast must you travel
Answer:
v = 0.99 c = 2.99 x 10⁸ m/s
Explanation:
From the special theory of relativity:
[tex]t = \frac{t_o}{\sqrt{1-\frac{v^2}{c^2} } }\\[/tex]
where,
v = speed of travel = ?
c = speed of light = 3 x 10⁸ m/s
t = time measured on earth = 90 years
t₀ = time measured in moving frame = 6 months = 0.5 year
Therefore,
[tex]90\ yr = \frac{0.5\ yr}{\sqrt{1-\frac{v^2}{c^2} } } \\\\\\\sqrt{1-\frac{v^2}{c^2}} = \frac{0.5\ yr}{90\ yr}\\ 1-\frac{v^2}{c^2} = 0.00003086\\\frac{v^2}{c^2} = 1-0.00003086\\[/tex]
v = 0.99 c = 2.99 x 10⁸ m/s
HELP QUICK! Please can anyone do the other half for me
Answer:
9) c
10) c
11) d
12) d
Explanation:
I think it's helps you
A sample of aluminum has a mass of 4.86 grams and a volume of 1.8 cubic centimeters. What is the density of aluminum rounded to the nearest tenth? 2.7 g/cm³
Answer:
3g/cm³
Explanation:
2.7
The seven adds 1 to the 2 making it 3.0
Answer:
its A
Explanation:
how are dams made do they just freeze time?
Answer:
Gravity dams are so named because they are held to the ground by gravity – they weigh a lot, and are typically made from concrete or stone. Engineers must de-water the river where the dam is meant to be built. This is done by diverting the river through a tunnel that runs around the intended construction zone.
Answer:First, they dug tunnels from below the dam to above the dam. Then, they put the cofferdam in place, and opened the tunnels. The water flowed around the site where the permanent dam would be built until they were done, at which point the cofferdam was removed.
Explanation:hope this helped
A flywheel having constant angular acceleration requires 4.00 ss to rotate through 164 radrad . Its angular velocity at the end of this time is 106 rad/srad/s . Find the angular velocity at the beginning of the 4.00 ss interval; the angular acceleration of the flywheel. For related problem-solving tips and strategies, you may want to view a Video Tutor Solution of Rotation of a bicycle wheel.
Answer:
[tex]\omega '=-13.5rad/s[/tex]
Explanation:
From the question we are told that:
Time [tex]t=4sec[/tex]
Angular displacement [tex]\theta= 161 rad[/tex]
Final Angular velocity [tex]\omega = 100 rad / s[/tex]
Let
Angular acceleration [tex]\alpha[/tex]
Generally the equation for Initial Angular velocity [tex]\omega '[/tex] is mathematically given by
[tex]-\omega '^2=2 \alpha \theta -\omega^2[/tex]
[tex]\omega '^2= \alpha 328 +11236[/tex]
Also,Initial Angular velocity [tex]\omega '[/tex] is mathematically given by
[tex]\omega '=\omega - \alpha t[/tex]
Therefore substitution
[tex]-\omega '^2=2 \alpha \theta -\omega^2[/tex]
[tex]\omega '=\omega - \alpha t[/tex]
[tex](\omega - \alpha t)^2=2 \alpha \theta -\omega[/tex]
[tex]-16\alpha^2+848\alpha+11236= \alpha 328 -11236[/tex]
[tex]16\alpha^2-520\alpha=0[/tex]
[tex]\alpha=29.875rads/s^2[/tex]
Substitution in the 2nd equation for Initial Angular velocity [tex]\omega '[/tex]
[tex]\omega '=106-(29.875rads/s^2*4)[/tex]
[tex]\omega '=-13.5rad/s[/tex]
Planck’s constant is a ratio between which two quantities?
A. the frequency and wavelength of a photon
B. the speed and frequency of any small particle
C. the energy and frequency of a photon
D. the kinetic energy and velocity of a photoelectron
Answer:
Energy and frequency
Explanation: