Hi there!
Recall the following relationship between the electric field and electrical potential:
[tex]E = -\frac{dV}{dx}[/tex]
Begin by taking the derivative of the electric potential function using basic power and constant rules.
Remember:
[tex]\frac{dy}{dx}x^n = nx^{n - 1}[/tex]
[tex]\frac{dy}{dx}(C) = 0[/tex]
Differentiate the function, and take its negative.
[tex]-\frac{dV}{dx} = -(2(1)(x^{1-1}) + 0 )\\\\-\frac{dV}{dx} = -2[/tex]
The magnitude is the absolute value, so:
[tex]|\frac{dV}{dx} = |-2| = \boxed{2 \frac{V}{m}}[/tex]
A stone of mass 5g is projected with a rubber catapult. if the catapult is stretched through a distance of 7cm by an average force of 70 North, calculate the instantaneous velocity of the stone when released
Explanation:
solution: mass m = 5g = 0.005kg; extension e = 7cm = 0.07m; force f = 70 N; velocity = ?; using: work done in elastic material w = 1/2 fe = 1/2 ke2 = 1/2 mv2 - the kinetic energy of the moving stone. 1/2 fe =...
student asserted that a suitable unit of specific heat capacity is m²/s²°c .is he correct ? why or why not
Answer:
Socratic app
Explanation:
it will help you
at 27 degrees C and 750 mmhg a sample of hydrogen occupies 5.0 L how much space will occupy at STP
Answer:
Explanation:
The number of mole of the hydrogen sample at 27 C and 750 mmHg pressure is:
[tex]n=\frac{PV}{RT}=\frac{(0.9898\times 10^{5})(5\times 10^{-3})}{(8.314)(27+273)}\approx 0.0198[/tex] mol
This number of mole will be the same although we change the pressure and temperature. For STP (Temperature = 0 C = 273 K, and Pressure = 760 mmHg = 76 cmHg = 1 Bar = 1.01 x [tex]10^{5}[/tex] Pa):
[tex]P'V'=nRT' \rightarrow V'=\frac{nRT'}{P'}=\frac{0.0198(8.314)(273)}{1.01\times 10^{5}}\approx 44.49 \times 10^{-5}[/tex] in [tex]m^{3}[/tex]. But in L, we find that V' = 0.4449 L
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How are stationary waves formed on a string?
Answer:
hey, please open my account and see my question, please help me solve the task, I have to send it to the teacher soon.
Answer:
When waves are generated and they reflect off a fixed end, the reflected waves are completely out of phase. The reflected waves and the incident waves interfere with each other along the path and results in the formation of nodes and anti-nodes. Nodes are points of completely out of phase interference and anti-nodes are points of completely in phase interference.
a bag of rocks has a mass of 16.4 kg what is it weight here on the earth
The force of a hammer drives a nail into wood. This is an example of. A. An unbalanced force. B. Gravitational force. C. Friction. D. Balanced forces
Answer:
What i got was A. An unbalanced force.
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can i get some help please
Answer:
B. They reproduce
Explanation:
Both arent made up of one cell, and both arent made up of mutliple cells. Only some unicellular and multicellular organisms are infectious.
Answer:
Your answer would be:
B.) They reproduce.
Unicellular organisms are made up of only one cell that carries out all of the functions needed by the organism, while multicellular organisms use many different cells to function. Multicellular organisms are composed of more than one cell, with groups of cells differentiating to take on specialized functions.
Unicellular organisms are made up of only one cell that carries out all of the functions needed by the organism. Multicellular organisms use many different cells to function.
Unicellular organisms are single-celled.
Multicellular organisms are multi-celled.
However, both reproduce.
Explanation:
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A boat sails for 80 minutes and travels 3.6km. What was its average speed in m/s?
Answer:
Explanation:
The average speed of the boat:
[tex]\bar{v}=\frac{s}{t}=\frac{3.6}{80}=0.045[/tex] km/min
But if you want to change the unit into m/s, you only take this way:
[tex]0.045 \frac{km}{min}=\frac{0.045\times 1000}{60}=0.75[/tex] in m/s.
The average speed of the boat will be approximately 0.75 m/s.
What is Average speed?
Average speed is the rate of change of change of distance covered with time.
Given is a boat that sails for 80 minutes and travels 3.6 Km.
Distance covered by the boat [ΔD] = 3.6 Km = 3600 m
Time taken [Δt] = 80 minutes = 80 x 60 = 4800 s
Now, we can calculate the average speed using the formula -
s = ΔD/Δt
s = 3600/4800
s = 36/48
s = 0.75 m/s
Therefore, the average speed of the boat will be approximately 0.75 m/s.
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What do radio waves, microwaves, light, and X-rays have in common
Answer:
They are all electromagnetic waves, electric and magnetic fields that oscillate together, perpendicular to each other
An example of a natural electric field is thunder or lightning
Answer:
Lightning
Explanation:
Lightning during a thunderstorm is an example of electrical energy. It is the visible discharge of atmospheric electricity. As lightning heats the air, it creates a shock wave that causes the sound of thunder.
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1. Zahra oscillates a swing and makes 100 complete cycles in 20 seconds. Find: a. Period (
Answer:
Explanation:
Period is : [tex]T=\frac{t}{n}=\frac{20}{100}=0.2[/tex] s
an airplane whose speed is 60 m/s is flying at an altitude of 500 m over the ocean toward a stationary sinking ship. at what horizontal distance from the ship should the crew of the airplane drop a pump into the water next to the ship
For an airplane whose speed is 60 m/s is flying at an altitude of 500 m over the ocean toward a stationary sinking ship, the horizontal distance is mathematically given as
x=606m
What horizontal distance from the ship should the crew of the airplane drop a pump into the water next to the ship?Generally, the equation for the y axis distance is mathematically given as
y=vt+0.5gt^2
Therefore
500=0t+1.2(9.8)t^2
t=10.1s
In conclusion, the horizontal distance
x=vt
x=60*10.1
x=606m
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Calculate the capacitance of capacitor having 5V voltage and energy of 40J.
Females are theoretically more prone to anxiety disorders due to __________. A. their habit of overreacting to physiological changes B. the high levels of serotonin causing hormone imbalance C. increased levels of norepinephrine causing anxiety sensitivity D. stress levels, life experiences, and friends’ stresses Please select the best answer from the choices provided A B C D
Answer:
fluctuations in the levels of female reproductive hormones
Explanation:
Women are more prone to anxiety due to a variety of biological, psychological, and cultural factors. Although the exact cause is unknown, recent research suggests that fluctuations in the levels of female reproductive hormones and cycles play an important role in women's enhanced vulnerability to anxiety.
Answer: D. stress levels, life experiences, and friends’ stresses
Explanation:
A baseball is thrown a distance of 60 meters. What is it’s speed if it takes 1.5 seconds to cover the distance
Answer:
V = S / d = 60 m / 1.5 sec = 40 m/s
Note 40 m/s = 40 * 3.28 = 131 ft/sec
131 ft/sec = 131 ft/sec / (88 ft/sec / 60 mph) = 89 mi/hr
what is the centripetal acceleration of an air plug on a car tire 250 rpm raduius of 0.45 m
The magnitude of the centripetal acceleration of the air plug on a car tire is 308.43 m/s².
What is centripetal acceleration?
Centripetal acceleration of an object is the rate of change of object's velocity with time, and it is directed inwards.
The magnitude of the centripetal acceleration of the air plug on a car tire is calculated as follows;
ac = ω²r
where;
ω angular speed (rad/s)r is radius of the tireAngular speed in radian per second[tex]\omega = 250 \ \frac{rev}{\min} \times \frac{2\pi \ rad}{1 \ rev} \times \frac{1 \min}{60 \ s} \\\\\omega = 26.18 \ rad/s[/tex]
ac = (26.18)² x 0.45
ac = 308.43 m/s²
Thus, the magnitude of the centripetal acceleration of the air plug on a car tire is 308.43 m/s².
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A ray of light passes symmetrically through on equilateral prism of refractive index 1.5. determine
the angel of incidence for which the minimum deviation can occur
Answer:
[tex] Angle \: at \: which \: minimum \: deviation \: occur = 37.18\degree[/tex]
Explanation:
Given:
Refractive index of prism μ = 1.5
Since the prism is equilateral,
Angle of prism A= 60°
To find:
Angel of incidence for which minimum deviation can occur(δm) ?
Solution:
We know that,
The refractive index, Angle of prism and angle of minimum deviation are correlated with formula,
[tex]\mu \: = \frac{sin( \frac{A + \delta_m}{2} )}{sin \frac{A}{2} } [/tex]
Where symbols have their usual meaning.
Substituting the value from given data in formula,
[tex] \mu \: = \frac{sin( \frac{A + \delta_m}{2} )}{sin \frac{A}{2} } \\1.5\: = \frac{sin( \frac{60 + \delta_m}{2} )}{sin \frac{60}{2} } \\ {sin( \frac{60 + \delta_m}{2} )} = 1.5 \times sin30 \\ {sin( \frac{60 + \delta_m}{2} )} = 1.5 \times 0.5 \\ {sin( \frac{60 + \delta_m}{2} )} = 0.75 \\ \frac{60 + \delta_m}{2} = {sin}^{ - 1}(0.75) \\ \frac{60 + \delta_m}{2} = 48.59 \: \degree \\ \delta_m = (48.59 \times 2) - 60\degree \\ \delta_m = (48.59 \times 2) - 60\degree \\ \delta_m = (97.18 - 60)\degree \\ \delta_m = 37.18\degree[/tex]
[tex] Angle \: at \: which \: minimum \: deviation \: occur = 37.18\degree[/tex]
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All forces on the bullets cancel so that the net force on a bullet is zero, which means the bullet has zero acceleration and is in a state known as?
a. collision
b. equilibrium
c. momentum
d. parallel vectors
Answer:
its b equilibrium
Explanation:
trust
I will give brainlisted for the correct answer!
Which statement about the observed results of the double-slit experiment is true?
O Waves that are out of phase constructively interfere to create bright bands.
O Waves that are in phase destructively interfere to create bright bands.
O Waves that are in phase constructively interfere to create bright bands.
O Waves that are out of phase constructively interfere to create bright bands.
Waves that are in phase constructively interfere to create bright bands was observed in the double-slit experiment.
What is Interference?This is defined as the phenomenon which occurs when two waves meet while traveling along the same medium.
A wave when in phase undergoes constructive interference while out of phase undergoes destructive interference which is why option C was chosen as the most appropriate choice.
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A constant force of 10N is applied to a 2−kg crate on a rough surface that is sitting on it. The crate undergoes a frictional force against the force that moves it over the surface. (a) Assuming the coefficient of friction is \mu_k=0.24μ k =0.24, find the magnitude of the friction force opposes the motion?(b) What is the net force on the
WITH EXPLANATION PLEASE.
Answer:
Explanation:
The kinetic friction between crate and the surface can be calculated as follows: [tex]f_{k}=\mu_{k}N=\mu_{k}mg=(0.24)(2)(10)=4.8 N[/tex]
Assume that the direction of the 10 N constant force is on the right, the kinetic friction will go the left, then:
[tex]\sum F=F_{net}=F-f_{k}=10-4.8=5.2 N[/tex]
A constant force of 10 N is applied to a crate of mass 2 kg on a rough surface, then the net force on the crate is 5.2 N
What is friction?Friction is the resistance to a thing sliding or rolling over another solid object. Although frictional forces can be helpful, such as the traction required to walk without sliding, they also provide a significant level of resistance to motion.
The forces of attraction, also called as adhesion, between both the contact zones of the surfaces, that are always microscopically uneven, seem to be the main contributor to friction among metals.
These "welded" joints are sheared, and friction is created by the irregularities of a harder surface scuffing down against the softer surface.
From the given data in the question,
Firstly, calculate the friction between the crate and the surface,
[tex]f_k\\[/tex] = [tex]\mu_k[/tex]mg
= (0.24)(2)(10)
= 4.8 N
Now, let's calculate the net force,
ΣF = F(N) = F - [tex]f_k[/tex]
= 10 - 7.8
= 5.2 N
Therefore, the net force will be equal to 5.2 N.
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Once you have possession of the disk, you can run only 5 steps before you have to pass it to a teammate.
true
false
Answer:
If this is for Ultimate Frisbee, then FALSE
Explanation:
According to the rules, "In order for the disc to go from one player to another, it must at some time be in the air. No player may walk, run, or take steps in possession of the disc. The momentum of the receiver, however, must be taken into consideration." (crec.unl.edu) This means that if the player is already moving, they may take a maximum of two steps to come to a stop. (www.csun.edu).
.
.
.
Hope that helps?
Give Reason during change of state,the temperature remains constant
Answer:
the substance has lost or gained an ion
Explanation:
I say substance be cause I'm referring to the item are the same are similar to the substances that make up make matter like the ones on the periodic table!
Can objects (aside from light/photons) travel the same speed or faster than the speed of light and still have Special Relativity work? Why or why not?
Answer:
who can apply for the award
Seamus made an electromagnet from an iron nail, a piece of copper wire with three coils spread out across the nail, and a AAA-
sized battery. His magnet attracts only one paper clip, and he wants to boost the power of his magnet to attract at least four paper
clips. What two things can Seamus do to accomplish his goal?
A)
B
Seamus can add batteries to decrease the voltage, and he can decrease the
space between the wire coils.
Seamus can add batteries to increase the voltage, and he can increase the
space between the wire coils,
Seamus can add batteries to increase the voltage, and he can decrease the
space between the wire coils.
Seamus can add batteries to decrease the voltage, and he can increase the
space between the wire coils
D
Seamus can add batteries to increase the voltage, and he can decrease the space between the wire coils to accomplish this goal.
What is Attraction?This is defined as any type of force that causes objects to come together and is possessed by objects such as a magnet.
In order to increase the power of the magnet it is best to increase the voltage and decrease the space of the coils so as to ensure it attracts at least four paper clips which makes option C the most appropriate choice.
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Which of the following scenarios will generate electricity using electromagnetic induction?
A. a highly conductive meatal moving within magnetic field
B. a changing magnetic field surrounded by plastic wires
C. electricity Being applied to a magnet
Answer:
A generates electricity, the others do not
Explanation:
A Cadillac Escalade has a mass of 2,569.6 kg, if it accelerates at 4.65 m/s^2 what is the net force of the car?
Answer:
11948.64 Newtons
Explanation:
Which statement is true about a wave that is created by causing vibrations in
particles of matter?
A. It can travel through empty space.
B. It is not an electromagnetic wave.
C. It does not need a medium.
D. It moves through a magnetic or electric field.
Answer:
A
Explanation:
A. it can travel through empty space
A particle (q = +5.0 µC) is released from rest when it is 2.0 m from a charged particle which is held at
rest. After the positively charged particle has moved 1.0 m toward the fixed particle, it has a kinetic
energy of 50 mJ. What is the charge on the fixed particle?
a. –2.2 µC
b. +6.7 µC
c. –2.7 µC
d. +8.0 µC
e. –1.1 µC
The kinetic energy of the charged particle is equal to the work done to bring it from the distance of 1 m. Hence, the total electric force here is 0.025 N. Therefore, the charge on the fixed particle is approximately + 6.7 µC.
What is Coulomb's law ?According Coulomb's law the electrostatic force between two charges is given by ,
F = k q1 q2 /r²
Where q1 and q2 be the charges and r be the distance between them, k be the constant equal to 8 × 10⁹ N m²/C².
Given q1 = + 5 µC
r = 1 m.
the kinetic energy in bringing the charge of 5 µC from 2 m is given 50 mJ.
then F = 0.05 J/2 m = 0.025 N
Then q2 = F r²/ (q1 K)
q2 = 0.025 N / ( + 5 µC × 8 × 10⁹ N m²/C²)
= 6 µC.
Therefore, option b is the approximate charge of the fixed particle.
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An electron of mass 9.11 x 10 -31 kg moves with a speed of 0.8725 c. What is its momentum?
Explanation:
momentum = mass × velocity
mass = 9.11 × 10^-31
velocity = 0.8725 multiplied by c ( which is the speed of light )
therefore velocity = 0.8725 × 3 × 10^8 = 2.6175 × 10^8 m/s
[tex]m = 9.11 \times 10 {}^{ - 31} \times 2.6175 \times 10 {}^{8} [/tex]
[tex]m = 9.11 \times 2.6175 \times 10 {}^{ - 31 + 8} [/tex]
[tex]m = 23.85 \times 10 {}^{ - 23} kgms {}^{ - 1} [/tex]
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