Answer:
Explanation:
Use that:
[tex]F=-\vec{\nabla}U(x,y)=-\left(\hat{i} \frac{\partial U}{\partial x}+\hat{j}\frac{\partial U}{\partial y}\right)=-11.6x\hat{i}+10.8y^{2}\hat{j}[/tex]
Then use the 2nd Newton's Law of Motion:
[tex]\vec{a}=\frac{\vec{F}}{m}=\frac{-11.6x\hat{i}+10.8y^{2}\hat{j}}{0.04}=-290x\hat{i}+270y^{2}\hat{j}[/tex]
At x = 0.3 and y = 0.6, we can find the acceleration as:
[tex]\vec{a}=-87\hat{i}+97.2\hat{j}[/tex] (in SI unit)
Then the magnitude of the acceleration on that point is:
[tex]a=\sqrt{(-87)^{2}+(97.2)^{2}}\approx 130.44[/tex] (SI Unit)
Why did the chicken cross the road
Answer:
to get to the other side.
Explanation:
bada bam, bop, BOOM
Starting from Newton’s Third Law F₁₂ = -F₂₁ derive the Law of Conservation of Momentum for an elastic collision.
From Newton’s Third Law, the Law of Conservation of Momentum for an elastic collision is derived as m₁u₁ + m₂u₂ = m₁v₁ + m₂v₂.
Newton's third lawThis law states that action and reaction are equal and opposite. That is the force applied to an object is equal to the reaction received by the object.
F₁₂ = -F₂₁
m₁a₁ = -m₂a₂
m₁v₁/t = -m₂v₂/t
m₁v₁ = -m₂v₂
m₁v₁ + m₂v₂ = 0
For an elastic collision involving two objectsThe sum of the initial momentum must be equal to sum of final momentum.
let initial velocity = ulet final velocity = vm₁u₁ + m₂u₂ = m₁v₁ + m₂v₂
Thus, from Newton’s Third Law, the Law of Conservation of Momentum for an elastic collision is derived as m₁u₁ + m₂u₂ = m₁v₁ + m₂v₂.
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A person with a mass of 80 kg is at rest. What is their momentum? Write the
number only. *
Your answer
Answer:
0
Explanation:
because no distance covered by body
A block of mass m = 8.40 kg, moving on a horizontal frictionless surface with a speed 4.20 m/s makes a perfectly elastic collision with a block of mass M at rest. After the collision, the 8.40 block recoils with a speed of 0.400 m/s. In the figure; the blocks are in contact for 0.200 s.
For A block of mass m = 8.40 kg, moving on a horizontal frictionless surface with a speed of 4.20 m/s is mathematically given as
F = 193.2N
What is the magnitude of the average force on the 8.40-kg block, while the two blocks are in contact, is closest to?
Generally, the equation for the magnitude of the average force mathematically given as
F = m(v1+v2)/t
F = 8.40(4.2+O.4)/t
F = 193.2N
In conclusion magnitude of the average force is
F = 193.2N
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An electron has a mass of 9.1x10^-31 kg and a charge
of -1.6x10^-19 C. Suppose you could isolate one electron in
a perfect vacuum and then create an electric field to pull
and edi 107. upward on the electron. How strong would the field have to
be to counteract the electron's weight? (In other words,
di Delfine bu how strong would the field have to be to put the electron in
a state of force equilibrium?)
is one of these the question
A combination of two identical resistors connected in series has an equivalent resistance of 12. ohms. What is the equivalent resistance of the combination of these same two resistors when connected in parallel?
Answer:
R1 + R2 = R = 12 for resistors in series - so R1 = R2 if they are identical
2 R1 = 12 and R1 = R2 = 6 ohms
1 / R = 1 / R1 + 1 / R2 for resistors in parallel
R = R1 * R2 / (R1 + R2) = 6 * 6 / (6 + 6) = 3
The equivalent resistance would be 3 ohms if connected in parallel
The centripetal force is proportional to the _____. mass velocity squared inverse of the radius All of the above
Answer:
Velocity squared.
Explanation:
We know that,
[tex]\text{F}_{\text{Centripetal}} = \dfrac{mv^2}{r}, \text{which implies} ~\text{F}_{\text{Centripetal}} \propto v^2[/tex]
Topic : Heat
1. Why can anyone put their fingers beside the flame of a lit candle without getting burned, but not above the flame?
2. What is the purpose of putting holes near the top of a metal lampshade?
3. A metal spoon is placed in one of two identical cups of hot coffee. Which cup will be cooler after a few minutes?
WHO WANTS BRAINLY?? ANSWER THESE 3 PHYSICS QUESTION!!!
1. What velocity must a car with a mass of 1210 kg have in order to have the same momentum as a pickup truck which has a momentum of 5.6 x 10^4 kg m/s to the east?
2. A 0.50 kg football is thrown with a velocity of 15 m/s to the right. A stationary receiver catches the ball and brings it to rest in 0.020s. What is the force exerted on the receiver?
3. A 0.40 kg soccer ball approaches a player horizontally with a velocity of 18 m/s to the north. The player strikes the ball and cases it to move in the opposite direction with a velocity of 22 m/s. What impulse was delivered to the ball by the player?
1. The car should move with velocity of 46.28 m/s
2. The force exerted on the receiver is 375 N
3. The player delivered an impulse of !.6 N s to the ball
What is Impulse?In Physics, Impulse is the product of mass and change in velocity. from Newtons law change in momentum is equal to impulse
m ( v - u ) = f * t = impulse = momentum
m = mass
v = final velocity
u = initial velocity
f = force
t = time
1.
Given:
mass = 1210 kg
momentum = 5.6 x 10^4 kg m/s
change in velocity = v - u = ?
u = 0 so change in velocity = v
momentum = mass * velocity
velocity = momentum / mass
velocity = 5.6 x 10^4 / 1210
velocity = 46.28 m/s
2.
Given:
m = 0.50 kg
u = 15 m/s
v = 0
t = 0.020 s
m ( v - u ) = f * t
f = 0.50 * ( 0 - 15 ) / 0.02
f = -375 N (the negative sign indicates the direction of the stoppage force as against the force that produces the motion )
force = 375 N
3.
Given:
m = 0.40 kg
u = 18 m/s to the North
v = 22 m/s
m ( v - u ) = impulse
impulse = 0.4 (22 - 18 )
impulse = 1.6 N s
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A __________is a large cool star located in the top right of the HR diagram.
Answer:
Vermeer star is located at the top of large Venus
Give at least 2 reasons why the descendants of the Gullah Geechee people in Cool Spring, South Carolina, continue to practice horticulture.
The 2 reasons why the descendants of the Gullah Geechee continued to practice horticulture include the following:
To preserve their cultural heritage.To provide sources for their staple food.What is Horticulture?This is the branch of plant agriculture dealing with garden crops, generally fruits, vegetables, and ornamental plants.
The descendants of the Gullah Geechee were made to work on farms which comprised mostly of rice and cotton. They preserve their culture which is why horticulture is practised.
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The United States uses only 10% of the world's energy.
True
False
Answer:
False
Explanation:
17%
the answer to your question is false
What is the magnitude of the electric field at the dot in the figure?
The magnitude of the electric field at the dot is : 10⁴ v/m
Given that there are three equipotential lines with equal spacing,we will apply the the relationship between P.D and electric field
Determine the magnitude of the electric field at the dotchange in voltage = E .d
100 - 0 = E * ( 1 * 10⁻² m ) ----- ( 1 )
From equation ( 1 )
The magnitude of E = 100 v / ( 1 * 10⁻² m )
= 10⁴ v/m
Hence we can conclude that The magnitude of the electric field at the dot is : 10⁴ v/m
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define briefly what is second conditionofequilibrium with examples
What is the absolute error expression of this ?
Answer:
n=(A+B)+k4
Explanation:
because if u add all the things to it u will get that
Draw free body diagrams for the following objects: (12pts)
1A) A coaster sitting under a cup of coffee.
1B) A car slowing down as it approaches a stop sign.
1C) Your test stuck to your fridge by a magnet.
1D) A baseball just before it leaves the bat.
(a) The force diagram of a coaster sitting under a cup of coffee includes the weight of the coater plus the weight of coffee acting downwards.
(b) The force diagram of a car slowing down as it approaches a stop sign includes force of the car and frictional force opposing the motion.
(c) The force diagram includes the force of the test and action of the fridge which are eqaul and opposite.
(d) The force diagram of baseball before it leaves the bat incudes only the weight of the baseball acting downwards.
Force diagram of coaster sitting under a cup of coffeeThe force diagram of a coaster sitting under a cup of coffee includes the weight of the coater plus the weight of coffee acting downwards.
↑ Fn
Ф Fn = W
↓ W
Where;
W is weight of the coaster plus weight of coffeFn is the normal reactionForce diagram of a car slowing down as it approaches a stop signThe force diagram inlcudes the applied force and frictional force opposing the motion.
Ff ← Ф → F
where;
Ff is the kinetic frictional forceF is force of the carForce diagram of test stuck to your fridgeThe force diagram includes the force of the test and action of the fridge which are eqaul and opposite.
Fb ← Ф → Fa
where;
Fa is the force of the testFb is the force of the fridgeForce diagram of baseball before it leaves the batThe force diagram includes only the weight of the baseball acting downwards.
Ф
↓
W = mg
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Define the lower fixed point of thermometer
Answer:
The temperature of pure melting ice at normal atmospheric pressure is known as the lower fixed point of thermometer
The lower fixed point of a thermometer is the temperature of a pure melting ice at atmospheric pressure of 1 atm
What is a thermometer?A thermometer is an instrument used in measuring temperature. iThermometers usually have toe fixed ponts the upper fixed pont and the lower fixed point.
The lower fixed point corresponds to the temperature of a pure melting ice at 1 atm
1 atm is normal atmospheric pressure and equal to 101325 Pa
A capacitor of cylindrical shape as shown in the red outline, few cm long carries a uniformly distributed charge of 7.2 uC per meter of length. By constructing a suitable Gaussian surface around the wire, Find the magnitude and direction of the electric field at points (a) 5.5 m and (b) 2.5 m perpendicular from the center of the wire. Show your detailed calculations and comment on the results.
Hi there!
Begin by using Gauss' Law to find the electric field.
[tex]\oint {E \cdot} \, dA = \frac{Q_{encl}}{\epsilon_0}[/tex]
E = Electric field (N/C)
dA = differential area element
Q = enclosed charge (C)
ε₀ = Permittivity of free space (8.85 * 10⁻¹² C²/Nm²)
We can construct a large cylinder around the wire in order to determine the electric flux. The electric field lines will pass through the LATERAL surface area of the cylinder, so:
[tex]A = 2\pi rL[/tex]
Where 'L' is the length of the cylinder and 'r' is the distance from the capacitor.
The enclosed charge is equivalent to the charge per meter length (λ) multiplied by the length, so:
[tex]\oint {E \cdot} \, dA = \frac{\lambda L}{\epsilon_0}[/tex]
We can rewrite the dot product as EA (where cosθ = 1 since the normal vector points in the direction of the field).
A = the lateral surface area of a cylinder, so:
[tex]E * 2\pi rL = \frac{\lambda L}{\epsilon_0}[/tex]
Rearrange to solve for 'E'.
[tex]E = \frac{\lambda L }{2\pi r L \epsilon _0}\\\\E = \frac{\lambda }{2\pi r \epsilon_0}[/tex]
a)
Plug in the distance into 'r'.
[tex]E = \frac{\lambda }{2\pi r \epsilon_0} \\\\E = \frac{0.0000072}{2\pi * 5.5 * (8.85 * 10^{-12})} = \boxed{23542.18 \frac{N}{C}}[/tex]
b)
Repeat:
[tex]E = \frac{\lambda }{2\pi r \epsilon_0}\\\\E = \frac{0.0000072}{2\pi * 2.5 * (8.85 * 10^{-12})} = \boxed{51792.8 \frac{N}{C}}[/tex]
We can see that the distance from the wire is INVERSELY related to the electric field strength by a power of r⁻¹. The field strength DECREASES as the distance INCREASES.
she incorrect? Select all that apply.
because electromagnetic waves can only travel in gases
А
B
because electromagnetic waves can only travel through solids
С
because electromagnetic waves only come from the Sun
D
because electromagnetic waves are not created using force on a medium
m
because electromagnetic waves are created using accelerating charges
F
because electromagnetic waves require a medium to travel
electromagnetic waves can travel not only through air and solid materials, but also through the vacuum of space.
hope it helps...!!!
A car travels at a speed of 40 m/s for 29.0 s;
what is the distance traveled by the car?
Answer: 1160 m
Explanation:
Speed = distance / time. Therefore, 40 m/s = d / 29 s → d = 1160 m.
Two identical twins, Sallie and Serena, are playing one December on a large merry-go-round (a disk mounted parallel to the ground on a vertical axle through its center) in their school playground in northern Minnesota. Each twin has a mass of 30.9 kg. The icy coating on the merry-go-round surface makes it frictionless. The merry-go-round revolves at a constant rate as the twins ride on it. Sallie, sitting a distance 1.85 m from the center of the merry-go-round, must hold on to one of the metal posts attached to the merry-go-round with a horizontal force of 59.0 N to keep from sliding off. Serena is sitting at the edge, a distance of 3.64 m m from the center; Serena must also hold on to a metal post on the merry-go-round to keep from sliding off.
Required:
What is the ratio of Serena?s speed to Sallie's speed (both speeds are measured by a stationary observer watching the spinnning merry-go-round)?
For a twin mass of 30.9 kg, sitting at a distance of 1.85 m, with a horizontal force of 59.0 N the ratio of Serena's speed to Sallie's speed is mathematically given as
V= 2.06:1
Generally, the equation for the velocity is mathematically given as
v = w r
Therefore
[tex]\frac{v serena}{vsallie} = \frac{r serena}{r sallie}[/tex]
V= 3.63/1.76
V= 2.06
In conclusion, the ratio is
V= 2.06:1
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Find the temperature
Answer:
-------1
Explanation:
beacuse that is what i know
Terry is walking down the street at 3 m/s. If he
has a mass of 70 kg, what is his momentum?
[tex]\text{Given that, mass m = 70 kg and velocity v = 3 m/s}\\\\\text{Momentum,}~ p = mv = 70 \times 3 = 210~ kg ~ms^{-1}[/tex]
Which of the following is an arithmetic sequence? A. 2, 1, 4, 3, 6, 5, …
Explanation:
it is not a arithmetic sequence
3,0,-3,-6 is the correct arithmetic sequence. So, the correct option is C.
What is Arithmetic sequence?An arithmetic sequence is defined as a sequence where the common difference between any two consecutive terms is constant. A sequence is explained as a collection of numbers that follow a pattern such as the sequence 2, 7, 12, 17, ... is an arithmetic sequence as there is a pattern where each number is obtained by adding 5 to its previous term. Is performed.
For above given information,
3,0,-3,-6 is the correct arithmetic sequence.
as, d is called as the common difference of the series
d=0 - 3= - 3 - 0 = -6 - (-3)
d= - 3
An arithmetic sequence is called as the equal common difference in each progressive term.
Thus, 3,0,-3,-6 is the correct arithmetic sequence. So, the correct option is C.
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#SPJ2
Your question is incomplete, most probably the complete question is:
Which of the following is an arithmetic sequence?
a.2,4,16,32
b.2,3,7,1,
c.3,0,-3,-6
d.5,-5,5,-5
list out the use of simple machine
Explanation:
simple machine can multiplayer of speed and force
5 waves with a length of 4m hit the shore every 2 seconds, what is the frequency?
The frequency of the 5 waves with a length of 4m hit the shore every 2 seconds is 2.5 Hz.
What is frequency?This is the number of cycles completed by a wave in one second. The s.i
unit of frequency is Hert (Hz).
From the question, to calculate the frequency of 5 waves with length of 4 m that hit the shores every 2 seconds, we use the formula below.
Formula:
F = n/t........... Equation 1Where:
n = Number of waveF = Frequencyt = timeFrom the question,
Given:
n = 5 waves t = 2 secondsSubstitute these values into equation 1
F = 5/2F = 2.5 Hz.Hence, The frequency of the wave is 2.5 Hz.
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Justina dreamed last night that she was warding off villains in a life or death battle outside a fortified castle. In the dream, she attempted to cross the moat but saw that it was filled with grotesque swamp creatures with warty green skin and she recoiled in fear. Knowing there was only one way to reach safety, she flew over the top of the castle and landed among the weeds in the inner courtyard. She was surprised to run into her seventh period Geometry teacher, Ms. Hargroves, but seeing that her teacher had a spear, compass, and workbook with her, Justina knew they would prevail. Ms. Hargroves told Justina that the key to defeating the villains was to write the theorems from the homework on the castle walls as protection against the invaders. Justina scrambled to write the complicated theorems before the menacing villains closed in. Just when the towering castle walls were about to be sieged, Justina awoke from her dream with a start.
As a therapist who specializes in dreams, who would you interpret Justina’s dream using:
17. Freud’s wish-fulfilling theory:
18. The information-processing theory:
19. The physiological function theory:
20. The activation synthesis theory:
21. The cognitive development theory:
As a therapist who specializes in dreams, I would interpret Justina’s dream by using: 17. Freud’s wish-fulfilling theory.
Who is Sigmund Freud?Sigmund Freud was an Austrian physiologist, neurologist, medical doctor and the founder of psychoanalysis. Also, Freud was born in Moravia on the 6th of May, 1856 and he was famously known around the world for his works on psychoanalytic theory of personality development.
In 1923, Sigmund Freud developed the personality theory through which he strongly argued that a person’s personality (human psyche) is structured into three (3) key parts and these include:
The Id (instincts).Ego (reality).Superego (morality).According to Sigmund Freud, wish fulfillment simply means the satisfaction of a human desire through an involuntary thought process such as dreams. Thus, it typically happens to a person when unconscious desires are adequately repressed by both the ego and superego.
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What is the x component of a vector that is defined as
45m at -35°?
the x- component of the vector is 36.86 m.
What is a vector?Vectors are quantities that have both magnitude and direcion
To calculate the x-component of the vector, we use the formula below.
Formula:
dx = dcosθ.......... Equation 1Where;
dx = x-component of the vectord = vector between the x-y componentθ = Angle of the vector to the horizontal.From the question,
Given:
d = 45 mθ = -35°Substitute these values into equation 1
dx = 45cos(-35°)dx = 45×0.918dx = 36.86 m.Hence, the x- component of the vector is 36.86 m.
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The gauge pressure in a balloon in measured by means of an open-tube manometer that uses water (density=1.00×103 kg/m3) . What gauge pressure is indicated by a difference of 0.0171 m in the heights of the water columns?
The gauge pressure in the balloon as indicated by a difference of 0.0171 m in the heights of the water columns is 167.58 Pa.
Gauge pressure of the balloon
The gauge pressure in the balloon is the pressure inside the balloon due to the water columns relative to the atmospheric pressure.
The gauge pressure in the balloon as indicated by a difference of 0.0171 m in the heights of the water columns is calculated as follows;
P = ρgΔh
P = (1,000)(9.8)(0.0171)
P = 167.58 Pa
Thus, the gauge pressure in the balloon as indicated by a difference of 0.0171 m in the heights of the water columns is 167.58 Pa.
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Water of mass 3 kg at a temperature of 80 ℃ is added to 5 Kg of water at 5 ℃. Calculate the final temperature of the mixture
The final temperature of the mixture is 33.123 °C.
What is temperature?Temperature can be defined as the hotness or coldness of a thing or place.
To calculate the final temperature of the mixture, we use the formula below.
Formula:
Heat gained by the cold water = heat lost by the hot watercm(t₃-t₁) = cm'(t₂-t₃)m((t₃-t₁) = m'(t₂-t₃)......... Equation 1Where:
m = mass of the cold waterm' = mass of the hot watert₁ = Temperature of the cold watert₂ = Temperature of the hot watert₃ = Temperature of the mixture.make t₃ the subject of the equation
t₃ = (mt₁+m't₂)/(m+m')............. Equation 2From the question,
Given:
m = 5 kgm' = 3kgt₁ = 5 °Ct₂ = 80 °CSubstitute these values into equation 2
t₃ = [(5×5)+(3×80)]/(3+5)t₃ = (25+240)/8t₃ = 33.123 °CHence, The final temperature of the mixture is 33.123 °C.
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