Answers
Answer:
The magnitude of the electrostatic force on [tex]\mathrm{+32\,\mu C}[/tex] is: [tex]\mathbf{12\;N}[/tex]
Explanation:
Consider
[tex]q_1=+32\;\mu\text{C}[/tex] is at position [tex]x_1=0\;\text{m}[/tex][tex]q_2=+20\;\mu\text{C}[/tex] is at position [tex]x_2=40\;\text{cm}[/tex][tex]q_3=-60\;\mu\text{C}[/tex] is at position [tex]x_3=60\;\text{cm}[/tex]The sum of all horizontal forces on [tex]q_1[/tex] is given as
[tex]\sum F_x=F_{12}+F_{13}[/tex]
where
[tex]F_{12}[/tex] is the force exerted by [tex]q_2[/tex][tex]F_{13}[/tex] is the force exerted by [tex]q_3[/tex]The force on [tex]q_1[/tex] exerted by [tex]q_2[/tex] is repulsive, so the direction of the force [tex]F_{12}[/tex] is to the left (negative direction). Thus
[tex]F_{12}=-\frac{K\,|q_1|\,|q_2|}{r_{12}^2}\\F_{12}=-\frac{K\,|q_1|\,|q_2|}{(x_2\;-\;x_1)^2}\\F_{12}=\mathrm{-\frac{(8.988\times10^9\;\frac{Nm^2}{C^2})\,|+32\;\mu C|\,|+20\;\mu C|}{(40\;cm\;-\;0\;cm)^2}}\\F_{12}=\mathrm{-\frac{(8.988\times10^9\;\frac{Nm^2}{C^2})\,(32\;\mu C)\,(20\;\mu C)}{(40\;cm)^2}}\\F_{12}=\mathrm{-\frac{(8.988\times10^9\;\frac{Nm^2}{C^2})\,(32\times10^{-6}\;C)\,(20\times10^{-6}\;C)}{(0.40\;m)^2}}\\F_{12}=\mathrm{-36\;N}[/tex]
The force on [tex]q_1[/tex] exerted by [tex]q_3[/tex] is attractive, so the direction of the force [tex]F_{13}[/tex] is to the right (positive direction). Thus
[tex]F_{13}=+\frac{K\,|q_1|\,|q_3|}{r_{13}^2}\\F_{13}=+\frac{K\,|q_1|\,|q_3|}{(x_3\;-\;x_1)^2}\\F_{13}=\mathrm{+\frac{(9\times10^9\;\frac{Nm^2}{C^2})\,|+32\;\mu C|\,|-60\;\mu C|}{(60\;cm\;-\;0\;cm)^2}}\\F_{13}=\mathrm{+\frac{(9\times10^9\;\frac{Nm^2}{C^2})\,(32\;\mu C)\,(60\;\mu C)}{(60\;cm)^2}}\\F_{13}=\mathrm{+\frac{(9\times10^9\;\frac{Nm^2}{C^2})\,(32\times10^{-6}\;C)\,(60\times10^{-6}\;C)}{(0.60\;m)^2}}\\F_{13}=\mathrm{+48\;N}[/tex]
Therefore
[tex]\sum F_x=\mathrm{-36\;N+48\;N} \;\;\;\;\;\Rightarrow\;\;\;\;\; \mathbf{\sum F_x=+12\;N}[/tex]
the electrostatic force on [tex]q_1[/tex] is to the right and has a magnitude of [tex]\mathbf{12\;N}[/tex]
Related Questions
in which reaction is there a transformation of mass into energy
Answers
Answer:
There is a transformation of mass into energy un nuclear fusion
A student pushes a laptop cart down the hallway by applying 20 Newtons force. The student pushes it 10 meters and
then stops at the water fountain with the cart and haves a sip of water. While he drinks from the water fountain, what
type of work is being done to the laptop cart.
Answers
Answer:
None.
Explanation:
By definition, work is a process that it happens when an applied forcecauses an object to change its position, i.e. to have a displacement.
Since the laptop cart is at rest while he stops at the water fountain, no
net work done is on the laptop cart.
I stand 0.72 meters in front of a mirror and look at the person on the other side who looks like me. That person is actually younger than me by a small amount. How much?
Answers
Answer:
Younger by nanoseconds
Explanation:
Not entirely sure :O
Light passes with an angle of incidence of 29.0 degrees from the air (n= 1.00) into water (n = 1.33). what is the angle of refraction?
Answers
Explanation:
A ray of light travels through air (n = 1.00) and approaching the boundary with ... The angle of incidence is 45.0°. ... Determine the angle of refraction at the linseed oil-water boundary. n= c/ ...
After landing on an unfamiliar planet, a space explorer constructs a simple pendulum of length 49.0 cm. The explorer finds that the pendulum completes 99.0 full swing cycles in a time of 125 s. What is the value of the acceleration of gravity on this planet?
Answers
Answer:
"12.122 m/s²" is the appropriate solution.
Explanation:
The given values in the question are:
Length,
l = 49.0 cm
or,
= [tex]49.0\times 10^{-2} \ m[/tex]
Time taken,
[tex]T = \frac{125}{99.0}[/tex]
[tex]=1.2626 \ s[/tex]
Now,
As we know,
⇒ [tex]T = 2 \pi\sqrt{\frac{l}{g} }[/tex]
or,
⇒ [tex]T^2=4 \pi^2[\frac{l}{g} ][/tex]
[tex]g = 4\pi^2[\frac{l}{T^2} ][/tex]
By substituting the above given values, we get
[tex]=\frac{4\times (3.14)^2\times (49.0\times 10^{-2})}{(1.2626)^2}[/tex]
[tex]=\frac{39.4384\times 49.0\times 10^{-2}}{1.59415876}[/tex]
[tex]=\frac{19.324816}{1.59415876}[/tex]
[tex]=12.122 \ m/s^2[/tex]
what is the focalength of the combination of two thin renses of power -5D and -2D placeci in contact with each other?
Answers
Answer:
f = - 0.143 m = - 14.3 cm
Explanation:
First, we will calculate the power of the combination of lenses:
P = P₁ + P₂
where,
P = Power of Combination = ?
P₁ = Power of first lens = - 5D
P₂ = Power of second lens = - 2D
Therefore,
P = - 5D - 2D
P = - 7D
Now, the focal length can be given as:
[tex]f = \frac{1}{P} \\\\f = \frac{1}{-\ 7\ D} \\\\[/tex]
f = - 0.143 m = - 14.3 cm
Negative focal length indicates that combination will act as diverging lens.
A box has base dimensions of 30 cm x 30 cm and a mass of 3 kg. Calculate to what
depth it sinks when placed in a tank of water (assume the sides are sufficiently high,
so that it floats). Density of water = 1000 kgm-3. Assume g=10 ms-2 for this problem.
Answers
Answer:
60
Explanation:
A box has base dimensions of 30 cm x 30 cm and a mass of 3 kg. Calculate to what
depth it sinks when placed in a tank of water (assume the sides are sufficiently high,
so that it floats). Density of water = 1000 kgm-3. Assume g=10 ms-2 for this problem.
PLEASE HELP ME ASAP!!!!
Answers
Water droplets forming on the outside of a cold glass of water on a hot, summer day is a example of which part of the water cycle?
Answers
Answer:
Condensation can also produce water droplets on the outside of soda cans or glasses of cold water. When warm air hits the cold surface, it reaches its dew point and condenses. This leaves droplets of water on the glass or can.
Explanation:
A flying stationary kite is acted on by a force of 9.8 N downward. The wind exerts a force of 45 N at an angle of 50.0 degrees above the horizontal. Find the force that the string exerts on the kite.
Answers
Answer:
38 N, 40.0° below the horizontal
Explanation:
Force exerted by an object equals mass times acceleration of that object: F = m ⨉ a. To use this formula, you need to use SI units: Newtons for force, kilograms for mass, and meters per second squared for acceleration.
For variables control, a circuit voltage will be measured using a sample of five circuits. The past average voltage for samples of 5 units has been 3.4 volts, and the range has been 1.3 volts.
Required:
What would the upper and lower control limits be for the resulting control charts (average and range)?
Answers
Answer:
Average :
UCL = 4.15
LCL = 2.65
Range :
UCL = 2.75
LCL = 0
Explanation:
Given :
Sample size, n = 5
Average, X = 3.4
Range, R = 1.3
A2 for n = 5 ; equals 0.577 ( X chart table)
For the average :
Upper Control Limit (UCL) :
X + A2*R
3.4 + 0.577(1.3) = 4.1501
Lower Control Limit (LCL) :
X - A2*R
3.4 - 0.577(1.3) = 2.6499
FOR the range :
Upper Control Limit (UCL) :
UCL = D4*R
D4 for n = 5 ; equals = 2.114
UCL = 2.114*1.3 = 2.7482
Lower Control Limit (LCL) :
LCL = D3*R
D3 for n = 5 ; equals = 0
LCL = 0 * 1.3 = 0
Which one please hurry . And please be right ..
Answers
Answer:
IN MOTION
Explanation:
An apparent change in the frequency of waves, as of sound or light, occurring when the source and observer are in motion relative to each other, with the frequency increasing when the source and observer approach each other and decreasing when they move apart.
How expensive is genetic counseling and reproductive technology?
Answers
Answer:
Genetic counseling without testing cost on average $213, whereas counseling, testing, and disclosure of results totaled $2057. A brief physician-based counseling instead of genetic counselor-based counseling would produce only small reductions in total costs.
hope it helps, please give me brainliest.
WILL MARK BRAINLIEST PLS HELP. A 3.33 x 10-6 F capacitor stores
8.15 x 10-4 J of energy. What is the
voltage across the capacitor?
(Pic shown)
Answers
Answer:
15.64 V
Explanation:
From the question given above, the following data were obtained:
Capacitor (C) = 3.33x10¯⁶ F
Energy (E) = 8.15×10¯⁴ J
Voltage (V) =?
The voltage across the capacitor can be obtained as follow:
E = ½CV²
8.15×10¯⁴ = 3.33x10¯⁶ × V²
Divide both side by 3.33x10¯⁶
V² = 8.15×10¯⁴ / 3.33x10¯⁶
Take the square root of both side
V = √(8.15×10¯⁴ / 3.33x10¯⁶)
V = 15.64 V
Thus, the voltage across the capacitor is 15.64 V
Answer:
22.12
Explanation:
on accellus
Write a method which prevents ice from melting quickly.
Answers
Answer:
blocks of ice are usually covered with cloth or sawdust while being stored
HELP: I’ve been stuck on this problem for a while now.
Answers
Answer:
a.work done=force *displacement
=500N*46m
=23000 Joule
b.power=work done/time taken
=23000/25
=920 watt
c.GPE=m*g*h(m=mass,g=gravity due to acceleration,h=height)
=60kg*9.8m/s*14m
=8232 joule
Explanation:
Clara is volunteering at NASA where scientists use telescopes to learn more about our universe. Scientists use tools that look at different types of electromagnetic radiation. The tools are used to form images of objects in space out of the radiation.
Different types of telescopes detect different types of electromagnetic radiation. Choose the four types of electromagnetic radiation.
A. gamma rays
B. X-rays
C. spectrum
D. radio waves
E. visible light
F. complement
Answers
Answer:
A gamma rays
B x-rays
D radio waves
E visible light
The four types of electromagnetic radiation are: gamma rays, X-rays, radio waves, and visible light.
What is electromagnetic radiation?
A flow of energy in which the electrical and magnetic fields change simultaneously is known as electromagnetic radiation. Electromagnetic radiation includes radio waves, microwaves, infrared, visible, ultraviolet, X, and gamma rays among others.
Through oscillating magnetic and electrical fields produced by their particles, electromagnetic radiation travels through space and vacuum. Sir James Clerk Maxwell, a Scottish scientist, presented the Electromagnetic Radiation theory in the early 1870s.
Heinrich Hertz, a German physicist, confirmed it experimentally. According to Maxwell, as an electrically charged particle accelerates, alternating electrical and magnetic fields are created, aiding the particle's propagation.
Gamma rays, X-rays, radio waves, and visible light are four types of electromagnetic radiation.
Learn more about electromagnetic radiation here:
https://brainly.com/question/10759891
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A spacecraft is powered by electricity generated by the heat produced when 23894Pu decays with a half-life of 87.75 y. Engineers predict that the spacecraft will have insufficient power to operate its instruments when the amount of 238 94Pu in its power generators drops below 67 % of the amount it had at launch on September 1, 1977
Required:
In what year will its instruments cease to function?
Answers
the official world land speed record is1228.0km/h are on October 15,1997,by Andy green in the jet engine car then express the speed in the meters per second
Answers
Answer:
v = 341.11 m/s
Explanation:
Given that,
The official world land speed was recorded as 1228.0km/h on October 15,1997.
We need to find the speed in m/s.
We know that,
1 km = 1000 m
1 h = 3600 s
So,
[tex]v=1228\ km/h\\\\=1228\times \dfrac{1000\ m}{3600\ s}\\\\v=341.11\ m/s[/tex]
So, the required speed is 341.11 m/s.
Which one of the following describes the molecular geometry of a molecule with four electron groups with only bonded pairs?
Answers
Answer:
correct answer is D
Explanation:
In the covalent bond, a pair of electrons is shared between two atoms, in this case we have 4 electrons in one atoms and they are shared in pairs, so for these as far apart as possible due to electron-electron repulsion between the electrons of different bonds it must have a TETRAHEDRAL geometry
the correct answer is D
If stretching a spring 3.50m causes a force of 20.0N, what is the spring constant of the spring?
A. 5.71 N/m
B. 70.O N/m
C. 16.5 N/m
D. 23.5 N/m
Answers
Answer:
A
Explanation:
Remark
One of the handiest things to know in physics is something called dimensional analysis.
Look at the answers you are given. All of them are in N/m. That means 2 things.
No conversions are necessary
You divide Newtons / meters. You don't need to worry too much about a formula.
But if need a formula, it is F = k * x and you need k
x = 3.5 m
F = 20.0 N
k = F / x
k = 20.0/3.5
k = 5.71 to 3 places.
What is the period of a wave, with a frequency of 0.75 Hertz?
Answers
Answer:
wavelength 4 cm
Explanation:
A 60-W light bulb radiates electromagnetic waves uniformly in all directions. At a distance of 1.0 mm from the bulb, the light intensity is Io, the average energy density of the waves is u0, and the rms electric and magnetic field values are Eo and Bo, respectively.
Required:
a. What is the light intensity?
b. What is the average energy density of the waves?
c. What is the rms magnetic field value?
Answers
Answer:
The appropriate solution is:
(a) [tex]\frac{1}{4}(I_o)[/tex]
(b) [tex]\frac{1}{4} (u_o)[/tex]
(c) [tex]\frac{1}{2}B_o[/tex]
Explanation:
According to the question, the value is:
Power of bulb,
= 60 W
Distance,
= 1.0 mm
Now,
(a)
⇒ [tex]\frac{I}{I_o} =\frac{r_o_2}{r_2}[/tex]
On applying cross-multiplication, we get
⇒ [tex]I=I_o\times \frac{1_2}{2^2}[/tex]
⇒ [tex]=I_o\times \frac{1}{4}[/tex]
⇒ [tex]=\frac{1}{4} (I_o)[/tex]
(b)
As we know,
⇒ [tex]\frac{u}{u_o} =\frac{I}{I_o}[/tex]
By putting the values, we get
⇒ [tex]u=\frac{1}{4}(u_o)[/tex]
(c)
⇒ [tex]\frac{B^2}{B_o^2} =\frac{u}{u_o}[/tex]
[tex]=\frac{I}{I_o}[/tex]
⇒ [tex]B=B_o\times \sqrt{\frac{1}{4} }[/tex]
⇒ [tex]=\frac{1}{2}(B_o)[/tex]
The center of mass of a uniform disk of radius
Ris located where?
Answers
Answer:
At the centre
Explanation:
To prove the position of the centre of mass, usually we take a strip across the circular disc and call it dy; calculate the length of the strip; calculate the mass per unit area of the disc. And then when we carry out some integral operations using R and -R as the boundaries we will arrive at y_cm = 0 which means the centre y_cm is at the centre of mass of this uniform disc.
Explain how Law 1 applies to the image to the left.
Answers
Answer:
12
Explanation:
Answer:
12?
Explanation:
Q: Winding roads and sharp curves are inherently dangerous
because -
A- You can't see far ahead
B- The speed limit is so slow
C- There may be other vehicles traveling in the
opposite direction
D- You may struggle to stay at the same speed
Answers
Answer:
A) you can't see far ahead
D. You may struggle to stay at the same speed.
Winding roads and sharp curves are dangerous because of centrifugal forces while taking curves, whose classic formula is described below:
[tex]F = m\cdot \frac{v^{2}}{r}[/tex] (1)
Where:
[tex]F[/tex] - Centrifugal force, in newtons.[tex]v[/tex] - Speed, in meters per second.[tex]r[/tex] - Radius of curvature, in meters per second.Sharps curves are characterized by low radii of curvature. Given that centrifugal force is inversely proportional to the square radius of curvature and it is opposed to friction force between tires and pavement, if centrifugal force is higher than maximum static friction force, then a car accident could if driver does not decelerate.
Therefore, correct choice is D.
We kindly invite to see this question on centrifugal forces: https://brainly.com/question/545816
Suppose that we use a heater to boil liquid nitrogen (N2 molecules). 4480 J of heat turns 20 g of liquid nitrogen into gas. Note that the latent heat is equal to the change in enthalpy, and that liquid nitrogen boils at 77 K. The system is kept at a constant pressure of 1 atm. Assuming that you can treat the gas as ideal gas and that the volume of the liquid is approximately zero, compute the binding energy of a nitrogen molecule in the liquid. (the binding energy is the difference in internal energy per molecule between the liquid and gas)
a. 4.2e^-18 J
b. 9.4e^-21 J
c. 4.8e^ 24 J
d. 2.1e^-19 J
e. 1.3e^-23 J
Answers
What is the potential difference VB – VA when the I= 1.5 A in the circuit segment below?
Answers
The potential difference across Vb - Va is 38 Volts
Considering the given circuit we have to apply Kirchoff's Voltage Law (KVL) in order to calculate potential difference across Va and Vb.
Here it is given that current I = 1.5 A flows from point a to b. With reference to the direction of flow of current the 20V battery is considered of positive potential and the 12V battery is considered of negative potential.
Applying KVL : Va - Vb = 20V + (1.5 × 20)V - 12V
Va - Vb = 38V
Learn more about Kirchoff's Voltage Law:
https://brainly.com/question/14595133
SOMONE PLEASE HELP ASAP!!!!
Answers
I believe the answer is purple
A scientist is asking you what would happen to Radon-226 (represented by Ra on the graph and 226 is the atomic mass) if instead of a purple arrow after Radon-226 there was a single green arrow. What would the result of this reaction on Radon be?