a.) What must the charge (sign and magnitude) of a 1.45 g particle be for it to remain balanced against gravity when placed in a downward-directed electric field of magnitude 650 N/C? Draw a diagram showing the particle, electric field, and forces.
Answers
The charge on the particle must be 3.23 x 10^-8 C. The sign of the charge will depend on the direction of the electric field.
If the electric field points downward (as stated in the problem), then the charge on the particle must be positive to balance the gravitational force. If the electric field were pointing upward, the charge on the particle would need to be negative.
To determine the particle's charge, we need to consider the forces acting on it. The particle is in equilibrium, which means that the electrostatic force on the particle must be equal and opposite to the gravitational force on it. We can write this as:
Fe = Fg
where Fe is the electrostatic force and Fg is the gravitational force.
The electrostatic force on the particle is given by Coulomb's law:
Fe = kqE
where k is Coulomb's constant (9.0 x 10^9 Nm^2/C^2), q is the charge of the particle, and E is the magnitude of the electric field (650 N/C).
The gravitational force on the particle is given by:
Fg = m*g
where m is the mass of the particle (1.45 g) and g is the acceleration due to gravity (9.8 m/s^2).
Since the particle is in equilibrium, we can equate Fe and Fg:
kqE = m*g
Solving for q, we get:
q = (mg)/(kE)
Plugging in the given values, we get:
q = (0.00145 kg)(9.8 m/s^2)/(9.0 x 10^9 Nm^2/C^2)(650 N/C) = 3.23 x 10^-8 C
Therefore, the charge on the particle must be 3.23 x 10^-8 C. The sign of the charge will depend on the direction of the electric field. If the electric field points downward (as stated in the problem), then the charge on the particle must be positive to balance the gravitational force. If the electric field were pointing upward, the charge on the particle would need to be negative.
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Related Questions
Explain Newton's first law of motion for an object in
motion.
Answers
Answer:
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rolling of a ball uses motion his bushy we I his own shaken his known fish of his jus on
a woman stands on a scale in a moving elevator. her mass is 66.0 kg, and the combined mass of the elevator and scale is an additional 784 kg. starting from rest, the elevator accelerates upward. during the acceleration, the hoisting cable applies a force of 9030 n. what does the scale read (in n) during the acceleration?
Answers
The scale will read 8,996 N during the acceleration.
The force applied to the woman by the scale is the sum of her weight and the weight of the elevator and scale (66.0 kg + 784 kg = 850.0 kg). This can be calculated using the equation
Force = Mass x Acceleration (F = ma).
The acceleration is given by the force applied (9030 N) divided by the total mass (850.0 kg), which gives a result of 10.6 m/s2.
We then multiply this acceleration by the mass of the woman (66.0 kg) to get the force applied to the woman by the scale, which is 696 N.
We then add this to the weight of the elevator and scale (784 kg) to get the total force that the scale reads, which is 8,996 N.
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Which statement about mass and inertia is not true?
A. Both mass and inertia play a role in Newton's first law.
B.Mass is a quantitative measurement of inertia.
C. The tendency of an object to remain at rest results from a property called inertia.
D.Newton's first law is sometimes called the relative inertia law.""
Answers
Answer:
D. Newton's first law is sometimes called the relative inertia law.
Explanation:
Newton's first law of motion states that an object at rest will stay at rest and that in motion will stay in motion with same speed and in the same direction unless an unbalanced force acts on it. It is also called the law inertia. Mass and inertia play a role in this law because mass is a quantity that mainly depends on inertia in that a body with more inertial will exhibit more mass.
what do you predict will happen in activity 2-2 when the coil is pulled away from the north pole of magnet
Answers
So, in Activity 2-2, if the coil is pulled away from the north pole of a magnet, it is likely that an EMF will be induced in the coil.
What is EMF?However, based on general principles of electromagnetism, if a coil is pulled away from the north pole of a magnet, it will experience a change in magnetic flux, which can induce an electromotive force (EMF) in the coil. This phenomenon is known as electromagnetic induction.
How is direction of EMF known?The magnitude and direction of the induced EMF will depend on several factors, such as the strength of the magnet, the velocity at which the coil is moved, and the orientation of the coil with respect to the magnetic field. If the coil is part of a circuit, the induced EMF can cause a current to flow in the circuit.
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A soil with modest CEC of 15 cmol(+)/kg soil has a pH of 6.0. If you took 100 pounds of soil and mixed it with 100 pounds of KCl, the resulting soil would: have a pH near 7.0 have a pH less than 6 have a pH remaining at 6.0 be a moderately alkaline soil (pH 7.5 to 8.5) be calcareous
Answers
When you mix 100 pounds of soil with 100 pounds of KCl, the resulting soil would have a pH near 7.0.
This is because KCl is a neutral salt and does not affect the pH of the soil. The modest CEC of the soil means that it has a relatively low capacity to retain positively charged ions such as K+. Therefore, adding KCl would not significantly affect the pH of the soil. The resulting soil would have a similar pH to the original soil, but it may have a slightly higher pH due to the dilution effect of adding more material. However, the pH increase would be minimal and would not make the soil moderately alkaline (pH 7.5 to 8.5) or calcareous.
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Which of the following is most likely to make it safer while lighting the rocket?
A. decreasing the size of the cap
B. increasing the length of the fuse
C. increasing the length of the body
D. decreasing the length of the stick
Answers
While lighting the rocket you should ensure D) decreasing the length of the stick
What are the precautions you should take while lighting the rocket?When lighting fireworks, avoid holding them in your hand or placing any part of your body over them. Don't carry fireworks in your pocket since the friction could set them off; instead, use eye protection. Keep pyrotechnics away from flammable objects, such as brush, leaves, and dwellings.
The continuous smoke from cracker explosions may sting or wet the eyes. Because bottle rockets are thought to be the riskiest cracker type, it's crucial to avoid them, keep a safe distance from the burning crackers, wear safety goggles, and avoid wearing contact lenses while popping crackers.
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What happens when a star can no longer fuse hydrogen to helium in its core?
-the core cools off
-the core shrinks and heats up
-the core expands and heats up
-helium fusion immediately begins
Answers
When a star can no longer fuse hydrogen to helium in its core, the core shrinks and heats up. This is because the core is no longer able to generate enough energy through hydrogen fusion to support its own weight against the force of gravity. So the correct option is B .
As a result, the core contracts and becomes denser, which causes an increase in temperature and pressure. This increased temperature and pressure eventually become high enough to ignite hydrogen fusion in a shell surrounding the core, and the star begins to expand and brighten. This phase of a star's life is called the subgiant or red giant branch, depending on its initial mass. Helium fusion does not begin until the core temperature and pressure are high enough to fuse helium, which occurs later in the star's evolution.
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if a 50kg person is uniformly irridated by as .10-j alpha radiation, waht is the absorbed dosage in rad and the effective dosage in rem?
Answers
The absorbed dosage in rad and effective dosage in rem when a 50kg person is uniformly irradiated by α radiation of 0.10 J is 0.29 rad and 0.29 rem.
Mass of the person, m = 50 kg, Energy of α radiation, E = 0.10 JTo calculate absorbed dosage and effective dosage, we use the following formulas: Absorbed dose, D = E/m rad Effective dose, H = D × Wr where Wr is the radiation weighting factor for alpha radiation which is 20. Since we know E and m, we can calculate D and then use it to calculate H by using the value of Wr as 20.
Absorbed dose, D = E/m rad = 0.10 J / 50 kg = 0.002 rad Effective dose, H = D × Wr rem = 0.002 rad × 20 = 0.04 rem. However, the above calculations assume that the alpha radiation is absorbed uniformly throughout the body which is not true in practical scenarios. So, to take into account the non-uniform distribution of radiation, a quality factor (QF) is also introduced.
Quality factor, QF = Wr × Wt where Wt is the tissue weighting factor for the organ exposed to radiation. Since we don't have information on the organ exposed in this case, we can assume a typical value of Wt as 1. Then, QF = 20 × 1 = 20
Now, the effective dose becomes H = D × QF rem = 0.002 rad × 20 = 0.04 rem. So, the absorbed dosage in rad and effective dosage in rem when a 50kg person is uniformly irradiated by α radiation of 0.10 J is 0.29 rad and 0.29 rem.
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3 paragraphs about who Larry page was and what advancements he provided to the world
Answers
Larry Page, real name Lawrence Edward Page, is a computer scientist and entrepreneur from the United States who co-founded Goo-gle, one of the most well-known websites on the Internet, with Sergey Brin on March 26, 1973 in East Lansing, Michigan.
Larry Page was drawn to technology at a young age and worked toward his goals. His success is truly inspirational. In the dorms of their college, he and Sergey Brin founded Goo-gle and grew it into a multinational corporation. Working hard is the secret to success.The concept of deciphering the vast amount of data amassing on the Internet interested Brin and Page, who first met while graduate students at Stanford University. They started developing Backrub, an innovative form of search technology, from Page's dorm room at Stanford. a week ago.To know more about Larry Page
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What is the wavelength of a wave if the length consisting of 3 crests and 2 trough measure 10m?
Answers
The wavelength of the wave is 2 meters.
To determine the wavelength of a wave, we need to know the distance between corresponding points on the wave. In this case, we have been given the lengths of three crests and two troughs, which is equivalent to one complete wave cycle.
Let's assume that the distance between each crest or trough is the same. If the length of three crests and two troughs is 10 meters, then we can calculate the length of one complete wave cycle by dividing 10 meters by 5 (3 crests + 2 troughs):
Length of one complete wave cycle = 10 meters / 5 = 2 meters
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How can you detect the hardness of water collected from different sources
Answers
Answer:
Explanation:
you can detect the hardness of water collected from different sources by using soap. Soaps can be used to check the hardness of water as it forms insoluble precipitate with hard water.
Answer:
We can detect the hardness of water taken from different sources by adding soap to it.
Explanation:
If the soap does not form micelle in the water then it will be hard water. In simple language if the soap doesnot disslove in water then it will be soft water.
Problem 6
Frank, a San Francisco hot dog vender, has fallen asleep on the job. When an earthquake strikes, his 300-kg hot-dog
cart rolls down Nob Hill which is 50 m high.
A. What is the PE of the cart at the top of Nob hill?
B. What is the Kinetic Energy of the cart at the bottom of the hill?
C. What is the speed of the cart at the bottom of the hill?
Answers
How long does it take a bicycle to travel 100 m if it goes a speed of 15 m/s?
Answers
The time taken for the bicycle to travel the given distance at the given velocity is 6.667 seconds.
Given the data in the question:
Distance travelled by the bicycle; \(S = 100m\)
Speed or velocity of the bicycle; \(v = 15m/s\)
Time taken for the bicycle to travel the given distance; \(t = ?\)
We know that speed is the rate of change of position of an object with respect to time.
That is to say, Speed = Distance / Time
Hence, Time = Distance / Speed
\(t = \frac{S}{v}\)
So, to get our time "t", we simply substitute in our given values
\(t = \frac{100m}{15m/s}\)
\(t = 6.667 s\)
Therefore, the time taken for the bicycle to travel the given distance at the given velocity is 6.667 seconds.
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A 58kg soccer player, moving at 3. 75m/s North hits another 56kg moving at 4. 90m/s collide West and
stick together. What is their speed and direction after collision
Answers
The final speed of both players is 4.314 m/s
Both players will stick together and moves in the northwest direction due to the impact,
The mass of the first soccer player = 58 kg
The velocity of the first soccer player = 3.75 m/s
The mass of the second player = 56 kg
The velocity of the second player = 4.9 m/s
The final speed of both players can be found using the formula,
m₁u₁ + m₂u₂ = (m₁ + m₂)v
where m₁,m₂ is the mass of the first and second player
u₁,u₂ is the initial velocity of the first and second player
v is the final velocity of both players
Let us substitute the known values in the above equation, we get
58 x 3.75 + 56 x 4.9 = ( 58 + 56) v
217.5 + 274.4 = 114 v
491.9 = 114 v
491.9 / 114 = v
v = 4.314 m/s
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Which of the following combinations would result in the least acceleration?
O 12N and 1.0 kg
O 60N and 2.0 kg
O IN and 0.20 kg
O5N and 0.35 kg
Answers
Answer:
I need to talk to somone about my confusing love life
Explanation:
(PLS HELP ME NOW!!!!!)
Answers
Answer:
D
Explanation:
Can someone help me plzzz..
whoever answers the best will be marked as brainliest.....
Answers
Answer:
1) 3 applications of pressure in daily life are :-
● The area of sharp edge of knife, scissor or handsaws are much less then blunt edge. So, for same total force pressure is more for sharp edges than the blunt one. Hence sharp knife, scissors etc, cuts easily than a blunt one.
●Broad handles in bags and suitcases are provided for the comfort. Broad handles have large area. So, the pressure exerted on hands and shoulders would be small while carrying the bags and the suitcases.
●Trucks carrying heavy loads have more than four tyres. More tyres in case of trucks increase the area of contact with the road. This results in reduced pressure on the tyres.
2) Area of the surface which is on ground = 1.5×1
= 1.5m^2
Mass of the block = 300kg
Force applied by the block = Mass × g = 300×10
= 3000N (where g = acceleration due to gravity )
Pressure = Force applied / Area of the surface
= 3000N / 1.5m^2
= 2000 Pa
3)
a) The above experiment signifies that more the area of the surface of an object , less the pressure an object applies.
b) B exerts the minimum pressure because the area of its surface to ground is greater than others & as it has more area of surface , it exerts less pressure. ( area is inversely proportional to pressure )
c) D exerts the maximum pressure because the area of its surface to ground is lesser than others & as it has less area of surface , it exerts more pressure. ( area is inversely proportional to pressure )
d) It depend upon the way an object is kept on ground. If an object is kept in such a way dat the area of the surface to the ground is more , then pressure will be least exerted .If an object is kept in such a way dat the area of the surface to the ground is less, then pressure will be exerted more .
e) Do it yourself . only i will suggest that make the tip of the cone ( which is to the ground ) more narrower.
what would you observe about the mass in the flask if you did not put thw ballon on top? why
Answers
Answer:
Hi can you explain more to the question your tryna ask us
Explanation:
you can do that in my comments
this is a large galaxy full of old, low mass, low metallicity stars with orbits tilted every possible direction. what type of galaxy is it?
Answers
The galaxy described appears to be an example of an elliptical galaxy. Elliptical galaxies are typically characterized by old, low mass, low metallicity stars, and their stars' orbits can be randomly oriented in all directions. They are often found in regions of high galaxy density and can range in size from relatively small to extremely massive.
An elliptical galaxy is a type of galaxy that appears elongated or elliptical in shape when viewed from Earth. These galaxies are made up of mostly old stars, meaning that their stars formed a long time ago and have been evolving for billions of years. As a result, the stars in elliptical galaxies tend to have low masses and low metallicities.
Low metallicity means that there are relatively few heavy elements present in the stars of an elliptical galaxy. This is because heavy elements are formed through nuclear fusion in the cores of stars and through supernova explosions, which occur when massive stars reach the end of their lives.
In elliptical galaxies, there has not been a lot of star formation or supernova activity in recent times, so heavy elements have not had a chance to build up in the galaxy's stars.
The stars in elliptical galaxies also have random orbits, meaning that their orbits can be tilted in all possible directions. This is in contrast to spiral galaxies, which have more ordered, flat disk-like structures with stars that orbit in a more organized fashion.
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A car is moving with the velocity of 90km/h. If the car come to rest after 10 seconds. Calculate the final velocity and distance covered by the car within that time.
plz wirte the full formula
Answers
Answer:
you can learn from here
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Which process is represented inside of the dashed circle?
Evaporation
Condensation
Precipitation
Transpiration
Answers
SHORT ANSWER
Which of the balanced chemical equations below has a molar ratio
with the smallest difference between elemental sodium (Na) as a reac-
tant and the chemical formed as a product? Explain.
Use at least two sentences in your answer.
Word Count: (minimum - 10; maximum - 300)
a. 2Na + F2 = 2 NaF
b. 3Na + P = Na3P
c. Na + N2 2Na N
d. Na + 0 = 2 Na o
Answers
Answer:
A
Explanation:
the formula ,
From the given chemical equations,the one with molar ratio with smallest difference between elemental sodium (Na) as a reactant and the chemical formed as a product is equation 'a'.
What is chemical equation?Chemical equation is a symbolic representation of a chemical reaction which is written in the form of symbols and chemical formulas.The reactants are present on the left hand side while the products are present on the right hand side.
A plus sign is present between reactants and products if they are more than one in any case and an arrow is present pointing towards the product side which indicates the direction of the reaction .There are coefficients present next to the chemical symbols and formulas .
The first chemical equation was put forth by Jean Beguin in 1615.By making use of chemical equations the direction of reaction ,state of reactants and products can be stated. In the chemical equations even the temperature to be maintained and catalyst can be mentioned.
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Using Newton's Method, select a set of coordinates, draw the complete two-sided fre bod diagram, identily any constraint equations, and determine the equations of motion for the adjacent figure. Assume the mass of the torsion bar is negligible
Answers
Torsional stiffness is K, mass moment of inertia is J, and twist angle is Q.
Think on the illustration from the question, as seen in the illustration below.
An exact position of a point in the coordinate plane can be demonstrated using a collection of values called coordinates. The intersection of the x-axis and y-axis, two perpendicular lines that form a 2D plane known as a coordinate plane.
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A 0.2 kg ball is caught in a 0.5 kg glove. The ball had been moving at 8.0 m/s and it required 5.0 N of force to stop it. What was the force on the glove?
Answers
The force on the glove is 12.8 N.
Solving for the force on the glove:
The force on the glove is equal to the impulse (change in momentum) experienced by the ball divided by the time over which the force was applied.
Impulse = force x time
= 5.0 N x (1/8.0 m/s)
Impulse = 0.625 Ns
The change in momentum of the ball ΔP is
ΔP = m x v
where,
m = is the mass of the ball
v= its velocity
Momentum = mass x velocity
= 0.2 kg x 8.0 m/s
Momentum= 1.6 kg m/s
The force on the glove is equal to the change in momentum divided by the time over which the force was applied:
Force = change in momentum/time
= 1.6 kg m/s
(1/8.0 m/s)
Force = 12.8 N
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what is diamagnetic materials, paramagnetic materials, ferromagnetic materials?
Answers
Answer:
Diamagnetic materials are those that some people generally think of as non-magnetic, and include water, wood, most organic compounds such as petroleum and some plastics, and many metals including copper, particularly the heavy ones with many core electrons, such as mercury, gold and bismuth.
Paramagnetic Materials: These are metals that are weakly attracted to magnets. They include aluminum, gold, and copper. The atoms of these substances contain electrons most of which spin in the same direction but not all.
Ferromagnetic materials are those materials which exhibit a spontaneous net magnetization at the atomic level, even in the absence of an external magnetic field. When placed in an external magnetic field, ferromagnetic materials are strongly magnetized in the direction of the field.
Explanation:
How many degrees Celsius is 57.39o F?
Answers
Given,
The temperature in Fahrenheit, F=57.39 °F
The temperature can be converted from degree Fahrenheit to degree celcius using the formula,
\(C=\frac{5}{9}(F-32)\)On substituting the known values,
\(\begin{gathered} C=\frac{5}{9}(57.39-32) \\ =14.11^{\circ}\text{C} \end{gathered}\)Thus 57.39 °F in degree celcius is 14.11 °C
Q1. Tractors are often used on sloping fields, so stability is important in their design. On the diagram, the center of the X marks the center of the tractor.
a) Explain why the tractor has not toppled over.
b) Give two features of the tractor which affects its stability.
Q2. The diagram shows two buses. Bus A is empty. Bus B contains bags of sand upstairs to represent passengers. Each bus has been tilted as far as it can without falling over.
a) Each bus will topple over if it is tilted any further. Explain why this will happen.
b) What difference does it make to the stability of the bus when the upper deck is full of passengers?
c) Why are the bags of sand in bus B only put upstairs?
Q3. A tractor is being used on a rough ground. What is the safest position for its center of mass? it is an emergency I will give you 20 points
Answers
Answer:
a) The tractor has not toppled over because the the center of mass is acting in between the wheels
b) The features which affect its stability are;
1) The location of the center of gravity of the tractor close to the ground
2) The increased spacing between the left and the right wheels of the tractor
Q2. a) The center of mass wheel act in the region to the right away the wheel span (space in between the wheel) which creates a clockwise effect to, topple the buses over
b) It raises the bus's center of mass higher
c) To raise the center of mass to its highest practical level
Q3. At the bottom middle location within the tractor
Explanation:
a) The tractor has not toppled over because the vertical line from the center of gravity to the ground is still in between the wheel base such that since the tractor will topple over by turning clockwise about the right tire due to its weight, the weight of the tractor is currently acting in the anticlockwise direction to the right end tire of the tractor keeping the tractor's tires in good contact with the ground
b) The features which affect its stability are;
1) The location of the center of gravity of the tractor close to the ground
2) The increased spacing between the left and the right wheels of the tractor
Q2. a) When either of the buses are tilted further, the mass of the buses is acting on the tires and in their tilted condition, the mass is acting mainly on the right tire, whereby as the vertical line from the center of mass to the ground is in between the wheel bases the mass of the buses still serve s the restoring force to keep the bus on ground by providing anticlockwise moment where clockwise lotion is required for the bus to topple over
If the buses are tilted further, the vertical line from the center of mass will cross to the other side of the right tire such that the mass now provides clockwise moment turning the buses clockwise and since there are no opposing anticlockwise moment to balance that of the now clockwise moment of the buses it will continue to turn clockwise with the result that they eventually topple over
b) When the upper deck is full of passengers, there will be an appreciable proportion of the total mass of the bus in the upper deck such that the level of the center of mass will be raised up higher
c) Sand bags are only put upstairs because by allowing for the disproportionate distribution of load such that the majority of the load of the bus is concentrated upstairs, the center of mass will be at its maximum height allowing the bus to be tested for stability in the worst case scenario
Therefore, the sands are only put upstairs to raise the center of mass
Q3. Being that the tractor is being used on a rough ground, the safest position will be at the lowest possible location at the middle of both the front and rear wheels and the left and right tires.
sunlight is observed to focus a point 18.5 cm behind the lens. find the power of the lens in diopters
Answers
The value of the power of the lens in diopters is 5.41 diopters
The sunlight is observed to focus a point 18.5 cm behind the lens.
The formula to find the power of the lens in diopters is given as follows:
Power of lens = 100cm / f cm
where f is the focal length of the lens.
To find the focal length of the lens, we use the lens formula which is given as follows:1/v - 1/u = 1/f
where v is the distance of the image from the lensu is the distance of the object from the lens
Given that sunlight is observed to focus a point 18.5 cm behind the lens.
Since the light rays from the sun are parallel, the distance of the object from the lens, u = infinity, therefore u = ∞.1/v - 1/∞ = 1/f⇒ v = f
Let the focal length of the lens be f cm.
Now, v = f = 18.5 cm
From the above formula, we know that Power of lens = 100cm / f cm
Hence Power of the lens in diopters = 100cm / 18.5 cm = 5.41 diopters
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Why is using a slinky not a perfect model for how seismic waves travel through earth?
Answers
Answer:
because the earth is more consistent and while you use a slinky your hand moving it is not very controlled
A little boy pushes a wagon with his dog in it. The mass of the dog and wagon together is 48kg. The wagon accelerates at 0.8 m/s2. What force is the boy pulling with?
Answers
Answer:
Force Applied=Mass x Acceleration
Force Applied= 45kg x 0.85m/s^2
Force Applied= 38.250N
Explanation: