You are sitting at your dinner table and noticed three peas have fallen off of your plate as shown. Each Pea has a mass of 0.22 g and D= 3.6 cm. I got part A that is 2.73×10-15th but part B I need help finding the direction (CCW from the +x axis) of the net gravitational force on the pea labeled M1
Answers
In order to find the direction of the net gravitational force, let's draw the forces acting on m1:
The direction F13 is pointing is given by:
\(\begin{gathered} \tan (\theta)=\frac{2d}{d} \\ \tan (\theta)=2 \\ \theta=\tan ^{-1}(2) \\ \theta=63.435\degree \end{gathered}\)Let's find the forces F12 and F13, and decompose the second one in its horizontal and vertical components using this angle:
\(\begin{gathered} F12=\frac{G\cdot M\cdot m}{d^2}=\frac{6.674\cdot10^{-11}\cdot0.22\cdot10^{-3}\cdot0.22\cdot10^{-3}}{(3.6\cdot10^{-2})^2}=2.49\cdot10^{-15} \\ F13=\frac{G\cdot M\cdot m}{(\sqrt[]{d^2+(2d)^2_{}})^2_{}}=\frac{6.674\cdot10^{-11}\cdot0.22\cdot10^{-3}\cdot0.22\cdot10^{-3}}{5\cdot(3.6\cdot10^{-2})^2}=4.98\cdot10^{-16} \\ F13_x=F13\cdot\sin (\theta)=4.98\cdot10^{-16}\cdot\sin (63.435\degree)=4.45\cdot10^{-16} \\ F13_y=F13\cdot\cos (\theta)=4.98\cdot10^{-16}\cdot\cos (63.435\degree)=2.23\cdot10^{-16} \end{gathered}\)Adding the vertical forces, we have:
\(F_y=F13_y+F12=2.23\cdot10^{-16}+24.9\cdot10^{-16}=27.13\cdot10^{-16}=2.713\cdot10^{-15}\)Finally, the direction of the net force is given by:
(Let's use a negative Fy, since it's pointing down)
\(\begin{gathered} \theta=\tan ^{-1}(\frac{F_y}{F_x})=\tan ^{-1}(\frac{F_y}{F13_x}) \\ =\tan ^{-1}(\frac{-2.713\cdot10^{-15}}{0.445\cdot10^{-15}}) \\ =\tan ^{-1}(-6.0966) \\ =-80.68\degree \end{gathered}\)
Related Questions
Why do we think that Venus has so much more atmospheric gas than Earth?
Most of the gases that have been released from volcanoes on Earth later returned to the surface.
Venus has gained much more gas through outgassing than has Earth.
Earth has lost much more gas to thermal escape than has Venus.
Because of its lack of magnetic field, Venus has been able to gain gas through the impacts of solar wind particles, while Earth has not gained gas in this way.
Answers
We think Venus has more atmospheric gas than Earth because of its lack of magnetic field, Venus has been able to gain gas through the impacts of solar wind particles, while Earth has not gained gas in this way.
Venus's densest atmosphere of the four terrestrial planets consists of 96% carbon dioxide. Venus's surface atmospheric pressure is 92 times greater than Earth's. With an average surface temperature of 735 K (462 °C; 863 °F), Venus is the hottest planet in the Solar System. The planet has no carbon cycle that captures carbon in rocks and surface features, and no organic life that can sequester carbon in the form of biomass.
Venus may have had oceans, but those oceans are evaporating due to increasing temperatures caused by the continuous greenhouse effect. Much of the water may have photodissociated, and the solar wind has sent free hydrogen rage into space as a result of the lack of an internal magnetic field on Venus. The surface of Venus itself is deserted, dry, and punctuated with rock that is periodically renewed by volcanic activity.
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An open pipe is 1.42 m long.
What is the third harmonic
frequency that it produces?
(Speed of sound = 343 m/s)
(Unit = Hz)
please help me guys will give brainliest and lots of points
Answers
Answer: The 180-Hz sinusoid is called the third harmonic, since its frequency is three times that of the fundamental frequency.
Explanation: Harmonics are integer multiples of the fundamental frequency. For example, if the fundamental frequency is 50 Hz (also known as the first harmonic) then the second harmonic will be 100 Hz (50 * 2 = 100 Hz), the third harmonic will be 150 Hz (50 * 3 = 150 Hz), and so on.
If you were at a stopped at a red light in your car, and then 5 seconds after the light turned greenyou reached a speed of 45 miles/hour, what was your acceleration?
Answers
Given data
*The given speed is v = 45 miles/hr = 20.11 m/s
*The given time is t = 5 s
The formula for the acceleration is given as
\(a=\frac{v}{t}\)Substitute the known values in th
Which of the following statements describes what a machine does?
A. It makes work require less force to perform.
B. It increases efficiency above 100%.
C. It creates energy when you use it.
D. It multiplies the amount of work done.
Answers
Answer:
It makes work require less force perform.
Explanation:
A circuit component that is a composed of a semiconductor layer sandwiched between two other semiconductor layers is a(n)?
Answers
Explanation:
It's a transistor. Hope that helps!
Answer:
D. Transistor
Explanation:
Edge 2021
Which uses combustion by moving pistons, which respond to a change in pressure?
heat engine
furnace
refrigeration unit
heat pump
;-;
Answers
Answer:
I think it is heart engine. I am studying Mechanics aswell
Answer:
A) heat engine
Explanation:
from the drop down menu arrange the electromagnetic radiation which starts with the highest energy and decreases to the lowest energy.
Answers
"The energy of the electromagnetic radiation from the highest to lowest energy is given as gamma rays, x-rays, ultra-violet radiation, visible light, infrared radiation and the radio waves."
The range of all forms of electromagnetic radiation is known as the electromagnetic spectrum. Electromagnetic waves typically move at velocities close to the speed of light in a vacuum.
Depending on how they are created, how they interact with matter, and how they are used practically, electromagnetic waves in these various bands have distinct properties.
The lowest energies are allegedly found in radio waves and micro waves.
With over 10,000 times more energy than the photons of visible light, gamma rays are the most powerful type of electromagnetic radiation. Their wavelength is the shortest. Nuclear blasts and radioactive atoms both produce these waves.
In the given question. The drop menu is missing. The order of electromagnetic radiation is given generally.
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What is the electric force acting between two charges of -0.0080 C and k9,92 and k = 9.00 × 10⁹ Nm²/C². 0.0050 C that are 0.035 m apart? Use F A. 1.0 × 107 N B. -2.9 × 108 N C. -1.0 × 107 N D. 2.9 × 108 N
Answers
The electric force acting between two charges will be -2.9 ×10⁹ C.Option B is correct.
What is Columb's law?The force of attraction between two charges, according to Coulomb's law, is directly proportional to the product of the charges and inversely proportional to the square of the distance between them.
Charges that are similar repel each other, whereas charges that are diametrically opposed attract each other.
The electric force acting between two charges will be ;
\(\rm F = K\frac{q_1q_2}{r^2} \\\\ \rm F = 9 \times 10^9 \frac{(-0.0080)^2}{(0.035)^2}\\\\F=2.98 \times 10^{9} \ N\)
Hence option B is correct.
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Lab: Types of Reactions Assignment: Lab Report
Answers
The types of chemical reactions are as follows:
Combination reactions Decomposition reactionsDouble decomposition Thermal dissociationRedox reactionsWhat the are the types of reactions?Chemical reactions are changes in which new substances are formed.
The types of chemical reactions are as follows:
Combination reactions - these are reactions in which two or more substances combine to form a single compoundDecomposition reactions - these are reactions in which a larger compound splits into smaller substancesDisplacement reactions - these are reactions in which one element or radical replaces another in a compoundDouble decomposition - these are reactions in which two substances exchange their radicals to form new compounds.Thermal dissociation - these reactions involves heating compounds to split them into smaller substances.Redox reactions - these are reactions in which oxidation and reduction reactions occur simultaneously.In conclusion, chemical reactions produce new substances.
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. A 5cm tall object is placed perpendicular to the principal axis of a convex lens of focal
length 10 cm. The distance of the object from the lens is 15 cm. Find the nature, position
and size of the image. Also find its magnification
Answers
The nature of the image formed by the convex lens is virtual, the position of the image is 30 cm away from the lens on the same side as the object, and the size of the image is twice the size of the object. The magnification is 2, meaning the image is magnified.
Given:
Object height (h) = 5 cm
Focal length of the convex lens (f) = 10 cm
Object distance (u) = 15 cm (positive since it's on the same side as the incident light)
To determine the nature, position, and size of the image, we can use the lens formula:
1/f = 1/v - 1/u
Substituting the given values:
1/10 = 1/v - 1/15
To simplify the equation, we find the common denominator:
3v - 2v = 2v/3
Simplifying further:
v = 30 cm
The image distance (v) is 30 cm. Since the image distance is positive, the image is formed on the opposite side of the lens from the object.
To find the magnification (M), we use the formula:
M = -v/u
Substituting the values:
M = -30 / 15 = -2
The magnification is -2, indicating that the image is inverted and twice the size of the object.
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Which statement is true about the theory of plate tectonics and the theory of continental drift?
A) The theory of plate tectonics proves the theory of continental drift completely wrong.
B) The theory of plate tectonics tells exactly where the continents were before Pangaea divided.
C) The theory of plate tectonics gives the method by which continents can move as part of plates.
D) The theory of plate tectonics does not explain how continental movements could occur.
Answers
The statement that is true about the theory of plate tectonics and the theory of continental drift C. The theory of plate tectonics gives the method by which continents can move as part of plates .
What is theory of plate tectonics and the theory of continental drift ?According to the scientific hypothesis of plate tectonics, the underground movements of the Earth create the primary landforms. By explaining a wide range of phenomena, including as mountain-building events, volcanoes, and earthquakes, the theory, which became firmly established in the 1960s, revolutionized the earth sciences.
The scientist Alfred Wegener is most closely connected with the concept of continental drift. Wegener wrote a paper outlining his notion that the continents were "drifting" across the Earth, occasionally crashing through oceans and into one another, in the early 20th century.
According to tectonic theory, the Earth's surface is dynamic and can move up to 1-2 inches every year. The numerous tectonic plates constantly move and interact. The outer layer of the Earth is altered by this motion. The result is earthquakes, volcanoes, and mountains.
Therefore, option C is correct.
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A double concave lens is a ________ lens, and a double convex lens is a ______ lens.
a.
converging, diverging
c.
converging, converging
b.
diverging, converging
d.
diverging, diverging
Answers
Answer:
b. diverging, converging
Answer:diverging, converging
Explanation:
if the position of a body is 3m, 6m, 9m, 12m at instant 2s, 4s, 6s, 8s respectively
Answers
Answer:1.5m/s
Explanation:
lol its right
HI PLEASE HELP ON QUESTION ASAP USING AVERAGE (MEAN) TO ANSWER QUESTION! IF UR ANSWER AND EXPLAINATION IS CORRECT ILL RATE YOU FIVE STARS, A THANKS AND MAYBE EVEN BRAINLIEST. PLEASE MAKE SURE YOU ANSWER MY QUESTION USING AVERAGES.
1) a meal for 6 cost £12 per person. as it is one of the diners birthday , the other 5 decided to pay for his meal. how much do each of the five friends need to pay?
Answers
Each of the five friends needs to pay £12 to cover the cost of their own meals and contribute towards the birthday person's meal. Using mean allows us to distribute the cost equally among the friends, ensuring a fair division of expenses for the meal.
To determine how much each of the five friends needs to pay, we can use the concept of averages (mean) and divide the total cost by the number of people paying.
In this scenario, the total cost of the meal for 6 people is £12 per person. Since the other 5 friends have decided to pay for the birthday person's meal, they will collectively cover the cost of their own meals plus the birthday person's meal.
To calculate the total cost covered by the five friends, we can subtract the cost of one person's meal (since the birthday person's meal is being paid by the group) from the total cost. The cost of one person's meal is £12.
Total cost covered by the five friends = Total cost - Cost of one person's meal
= (£12 x 6) - £12
= £72 - £12
= £60
Now, to find out how much each of the five friends needs to pay, we divide the total cost covered by the five friends (£60) by the number of friends (5).
Amount each friend needs to pay = Total cost covered by the five friends / Number of friends
= £60 / 5
= £12
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Apply newton’s 2nd law in each direction for 1) m12) m2
Answers
ANSWER:
STEP-BY-STEP EXPLANATION:
1)
For the case of m1, the force scheme would be like this:
We do the summation of force in each direction:
\(undefined\)
The magnitude of the electric field due to a point charge object at a distance 4.0 m is 9 N/C. From the same
charged object the electric field of magnitude, 16 N/C will be at a distance of
Answers
The electric field of magnitude 16 N/C will be at a distance of 6.0 meters from the charged object.
The magnitude of the electric field due to a point charge object follows the inverse square law, which states that the magnitude of the electric field is inversely proportional to the square of the distance from the charged object. Mathematically, this is expressed as:
\(E = k*q/r^2\)
where E is the electric field, k is Coulomb's constant (\(k = 9 x 10^9 N*m^2/C^2\)), q is the charge of the object, and r is the distance from the object.
We can use this formula to find the distance at which the electric field has a magnitude of 16 N/C. Let's call this distance x:
16 = \(k*q/x^2\)
We can rearrange this equation to solve for x:
x = \(\sqrt(k*q/16)\)
To find q, we need another piece of information. We know that the electric field has a magnitude of 9 N/C at a distance of 4.0 m. Using the same formula as before, we can solve for q:
9 = \(k*q/4^2\)
q = \(9*4^2/k\)
Now we can substitute this value for q into the equation for x:
x =\(\sqrt(k*(9*4^2/k)/16)\)
x =\(\sqrt(9*4^2/16)\)
x = \(\sqrt(36)\)
x = 6.0 meters
Therefore, the electric field of magnitude 16 N/C will be at a distance of 6.0 meters from the charged object.
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The diagram below shows the velocity vectors for two cars that are moving
relative to each other.
45 m/s west
25 m/s east
Car 1
Car 2
From the frame of reference of car 1, what is the velocity of car 2?
OA. 20 m/s west
OB. 70 m/s east
C. 70 m/s west
D. 20 m/s east
Answers
The relative velocity of the car 2 with respect to car 1 is 70 m/s west. So, the correct option is C.
Velocity of the car 1 with respect to the ground, v₁ = 45 m/s west
Velocity of the car 2 with respect to the ground, v₂ = 25 m/s east
Let the direction towards the east be positive and the opposite direction towards the west be negative.
The expression for the relative velocity of the car 2 with respect to car 1 is given by,
v₂₁ = v₂ - v₁
v₂₁ = 25 - (-45)
Therefore, the relative velocity,
v₂₁ = 70 m/s west
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Attaching the image file here.
Serna
All changes saved
3. What stroke of an engine moves the piston down into the engine and causes the top of
cylinder to open and mix air and fuel?
Answers
Answer:
See below
Explanation:
INTAKE - compression - power - exhaust for a 4 stroke engine
Answer: intake
Explanation:
I took the quiz.
An insect lands 0.1m from the centre of a turn table while the record is turning at 55 rev/min at what linear speed will the insect be carried
collision with the near stationary photograph
Answers
The linear speed will be the insect be 0.5759 meter/second carried collision with the near stationary photograph.
What is speed?
Speed is distance travelled by the object per unit time. Due to having no direction and only having magnitude, speed is a scalar quantity With SI unit meter/second.
Given that an insect lands 0.1m from the center of the turn table.
Rotational speed of the turn table = 55 rev/min
= (55×2π/60) rad/second
= 5.759 rad/second.
Hence, the speed of the insect be = Rotational speed × length
= 5.759 rad/second × 0.1 M.
= 0.5759 meter/second.
Therefore, the speed of the insect be 0.5759 meter/second.
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The nearest neighboring star to the Sun is about 4 light-years away. If a planet happened to be orbiting this star at an orbital radius equal to that of the Earth-Sun distance, what minimum diameter would an Earth-based telescope's aperture have to be in order to obtain an image that resolved this star-planet system? Assume the light emitted by the star and planet has a wavelength of 550 nm
. The Earth-Sun distance is 149.6×106km
, and 1ly=9.461×1015m
.
Answers
To resolve the star-planet system at a distance of 4 light-years, a telescope on Earth would need an aperture with a minimum diameter of 55.88 mm.
What does microscopy's Rayleigh criterion mean?In optical microscopy, the Rayleigh criterion is frequently used to estimate the resolution of the microscope. The resolution limit imposed by this criterion has long been regarded as a roadblock to using an optical microscope to study biological phenomena at the nanoscale.
We can use the Rayleigh criterion,
θ = 1.22 λ / D
θ = angular resolution
λ = wavelength of light
D = diameter of the telescope's aperture
θ = arctan (r / d)
r = radius of the planet's orbit
d = distance to the star
Now, we use the given values,
r = 149.6×106 km = 149.6×109 m
d = 4 × 9.461×1015 m = 3.7844×1016 m
λ = 550 nm = 550×10-9 m
θ = arctan (r / d)
=arctan (149.6×109 / 3.7844×1016) = 0.000012 radians
we can use the Rayleigh criterion,
θ = 1.22 λ / D
D = 1.22 λ / θ
D = 1.22 × 550×10-9 / 0.000012
D = 55.88 mm
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What do conduction and convection have in common?
Answers
what will happen if the primary coll of a transformer is connected to D.C supply
Answers
Answer:
If the primary of a transformer is connected to the DC supply, the primary will draw a steady current and hence produce a constant flux. Consequently, no back EMF will be produced.
Explanation:
The speed of an animal is how fast it is moving. A speed of 6 m/s (meters per second) means that the animalmoves a distance of 6 meters every second.
1. How would you measure the speed of an animal?
2. What do you think are the fastest animals?
Answers
Answer:
Based on the seconds given or recorded you might multiply seconds by 6 and that will give you your equation format to measure the speed of an animal. Cheetahs and wild boars are the fastest probably.
Explanation:
A child sits on a merry-go-round, 1.5 meters from the center. The merry-go-round is turning at a constant rate, and the child is observed to have a radial acceleration of 2.3 m/s2. How long does it take for the merry-go-round to make one revolution
Answers
Answer:
5 .07 s .
Explanation:
The child will move on a circle of radius r
r = 1.5 m
Let the velocity of rotation = v
radial acceleration = v² / r
v² / r = 2.3
v² = 2.3 r = 2.3 x 1.5
= 3.45
v = 1.857 m /s
Time of revolution = 2π r / v
= 2 x 3.14 x 1.5 / 1.857
= 5 .07 s .
The merry-go round will take 5.07 s to complete one complete revolution.
Given data:
The distance of child from the center is, r = 1.5 m.
The magnitude of radial acceleration is, \(a = 2.3 \;\rm m/s^{2}\).
Since, the child is on merry-go round, which is undergoing a rotational motion. And radial acceleration means that it is under the acceleration, whose value is given as,
\(a=\dfrac{v^{2}}{r}\\\\v=\sqrt{a \times r}\)
Here, v is the linear velocity.
Solving as,
\(v=\sqrt{2.3 \times 1.5} \\\\v=1.857 \;\rm m/s\)
Now, we to obtain the time taken by merry-go round to complete one revolution. Then the expression for the time taken to complete one revolution is,
\(T=\dfrac{2 \pi r}{v}\\\\T=\dfrac{2 \pi \times 1.5}{1.857}\\\\T = 5.07 \;\rm s\)
Thus, we can conclude that the merry-go round will take 5.07 s to complete one revolution.
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A rock is thrown directly upward from the edge of a flat roof of a building that is 56.3 meters tall. The rock misses the building on its way down, and is observed to strike the ground 4.00 seconds after being thrown. Neglect air resistance.
With what speed was the rock thrown?
How high did the rock travel in the reference frame of the thrower?
Answers
Explanation:
Given that,
Distance, d = -56.3 m
It strikes the ground 4.00 seconds after being thrown.
Using second equation of motion to find the speed was the rock thrown. So,
\(d=ut+\dfrac{1}{2}at^2\)
Here, a = -g
\(d=ut-\dfrac{1}{2}gt^2\\\\-56.3=u(4)-4.9(4)^2\\\\-56.3=4u-78.4\\\\u=5.52\ m/s\)
Let it will cover a distance of s meters. So,
\(s=\dfrac{v^2-u^2}{-2g}\\\\s=\dfrac{0^2-(5.52)^2}{-2\times 9.8}\\\\s=1.55\ m\)
With a force of 200 N a body is lifted 20 meters in 20 seconds. Calculate the weight of this body. Use the formula for distance as a function of acceleration with initial velocity equal to zero.
Answers
Answer:
The weight of the body is 3,924 N.
Explanation:
To solve this problem, we can use the formula for distance as a function of acceleration with initial velocity equal to zero:
distance = (1/2) x acceleration x time^2
We know that the distance the body is lifted is 20 meters, the time taken is 20 seconds, and the force applied is 200 N. We can use this information to calculate the weight of the body.
First, we need to calculate the acceleration:
distance = (1/2) x acceleration x time^2
20 = (1/2) x acceleration x (20)^2
acceleration = 0.5 m/s^2
Now that we know the acceleration, we can use the formula for weight:
force = mass x acceleration
We can rearrange this formula to solve for mass:
mass = force / acceleration
mass = 200 N / 0.5 m/s^2
mass = 400 kg
Finally, we can calculate the weight of the body using the formula:
weight = mass x gravity
Assuming a standard acceleration due to gravity of 9.81 m/s^2, we can calculate the weight:
weight = 400 kg x 9.81 m/s^2
weight = 3,924 N
Therefore, the weight of the body is 3,924 N.
You place a piece of aluminum at 250.0∘C ∘ C in 9.00 kg k g of liquid water at 20.0∘C ∘ C . None of the water boils, and the final temperature of the water and aluminum is 22.0∘C ∘ C . What is the mass of the piece of aluminum? Assume no heat is exchanged with the container that holds the water.
Answers
Answer:
m₁ = 0.37 kg
Explanation:
According to Law of conservation of energy:
Heat Lost by Aluminum = Heat Gained by Water
m₁C₁ΔT₁ = m₂C₂ΔT₂
where,
m₁ = mass of piece of aluminum = ?
C₁ = specific heat capacity of aluminum = 900 J/kg.°C
ΔT₁ = Change in temperature of aluminum = 250°C - 22°C = 228°C
m₂ = mass of water = 9 kg
C₂ = specific heat capacity of water = 4200 J/kg.°C
ΔT₁ = Change in temperature of aluminum = 22°C - 20°C = 2°C
Therefore,
m₁(900 J/kg.°C)(228 °C) = (9 kg)(4200 J/kg.°C)(2°C)
m₁ = (75600 J)/(205200 J/kg)
m₁ = 0.37 kg
For a chair to be balanced on one leg, where must the center of gravity be located? A. in the center of the seat B. toward the front of the chair C. toward and above the balancing leg of the chair D. toward the back of the chair
Answers
Answer:
The correct answer is c
Explanation:
When a body is in rotational equilibrium, the relationship must be met
∑ τ = 0
Σ F d = 0
therefore the forces that are exerted on the body that are represented in the center of gravity are different from zero, therefore, to maintain balance the distance must be zero, therefore the center of gravity must be above the leg where the body is balancing
The correct answer is c
Pls explain ........................
Answers
Option A that is 8.6 x 10^4 volt is the potential difference between a point 0.79 mm from a charge of 7.6nC and a point of infinity.
What is potential difference how it is calculated out to be so?Potential difference can be stated as the difference of electrical potential between two points stated.Here in this question is given the charge 7.6 nC that is 7.6 x 10^-9 and the radius 0.79 mm that is 0.79 x 10^-3 m.Here the potential difference can be calculated out to be by the equation V = k x Q /R , where k is proportionality constant given in equation.V= 8.99 x 10^9 x 7.6x 10^-9 / 0.79 x 10^-3 , putting all the values in the equation.Finally the potential difference is calculate out to be 8.65 x 10^4 volts.To know more about potential difference visit:
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describe how heat energy can be transferred to either kinetic energy or gravitational potential energy
Answers
The heat energy makes the molecules inside a body more free from each other and increase their kinetic energy to do some action.
What is kinetic energy ?Kinetic energy of an object is the energy generated by virtue of its motion. Whereas, the energy generated by virtue of its position in a gravitational field is called its gravitational potential energy.
Heat energy helps to weaken the intermolecular attraction between molecules in a substance. Thus as they getting free to move their kinetic energy increases and potential energy decreases.
This is well described from the evidence that, by heating the reaction system, the reactants acquires sufficient kinetic energy to proceed the reaction.
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