Answers
Answer:
1.704 × 10¹⁹ electrons
Explanation:
The gravitational force due to the identical masses with mass, m = 3.17 kg at a distance r = 2.96 m from each other is F = Gm²/r².
Since equal number of electrons have to leave both masses, we have a charge q on each mass acting to oppose each other at distance r.
So, the electrical force of repulsion is thus
F'= kq²/r²
For the net force to be zero, the gravitational force of attraction must balance the electrical force of repulsion.
So, F = F'
So, Gm²/r² = kq²/r²
Gm² = kq²
q² = Gm²/k
taking square root of both sides, we have
q = m√(G/k)
So, substituting the values of the variables into the equation, we have
q = m√(G/k)
= 3.17 kg√(6.67 × 10⁻¹¹ Nm²/kg²/9 × 10⁹ Nm²/C²)
= 3.17 kg√(0.741 × 10⁻²⁰ C²/kg²)
= 3.17 kg × 0.861 C/kg
= 2.73 C
Now, q = ne where n = number of electrons and e = electron charge = 1.602 × 10⁻¹⁹ C
n = q/e
= 2.73 C ÷ 1.602 × 10⁻¹⁹ C
= 1.704 × 10¹⁹ electrons
Related Questions
If a ball is thrown upward at a speed of 10 m/s, and it reaches a height of 5.1 meters, how long
will it be in the air total?
Answers
Answer:
t = 10/9.81 = 1.02s
Explanation:
the ball will be up in the air for 1.02 seconds
find the average speed of a car that travels 45km in 2hours 15minutes
Answers
Answer:
20 km/h
Explanation:
45 km ÷ 2.25 hours (15 mins is 0.25 hours)
= 20
20 km/h
A 650 kg elevator starts from rest. It moves upward for 4.50 s with constant acceleration until it reaches its cruising speed, 1.75 m/s.
(a) What is the average power of the elevator motor during this period? W
(b) How does this power compare with the motor power when the elevator moves at its cruising speed? Pcruising = W
Answers
5789.8 W is the average power of the elevator motor during this period and 1.115 * 10⁴ W this power compare with the motor power when the elevator moves at its cruising speed.
What is an explain acceleration?The rate with which the speed and direction of a moving object vary over time. A point a object going straight ahead is pushed when it accelerates or decelerates.
Briefing:Mass of elevator = 650 kg
Time = 4.50 sec
Speed of the elevator = 1.75 m/s
Calculating the elevator's acceleration is necessary.
Using the acceleration formula
a = vf - vi / t
a = 1.75 / 4.50
a = 0.38 m/s2
(a). We must determine the net force acting on the elevator.
Using the force formula
T = mg + ma
T = m (g +a)
T = 650 (9.8 + 0.38)
T = 6617 N
We must determine the average velocity.
Using the average velocity formula
v' = vf + vi / 2
v' = 1.75 / 2
v' = 0.875 m/s
We must determine the average power.
Using the power formula
P = T * v'
P = 6617 * 0.875
P = 5789.8 W
(b). We must determine the motor's power input.
Using the power formula
P = F * v
P = mg * v
P = 650 * 9.8 * 1.75
P = 1.115 * 10⁴ W.
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George is trying to move a heavy bookshelf across the classroom. He pushes on the bookshelf with a force of 57 N to the right Friction is resisting his movement with a force of78 N. The bookshelf does not move. A friend comes to help George, The friend pushes the bookshelf in the same direction as George with a force of 25 N. What will happen tothe bookshelf?The bookshelf will not move,0000The bookshelf will move to the left with a force of 25 NThe bookshelf will move to the right with a force of 82 NThe bookshelf will move to the right with a force of 4 N.
Answers
Given data:
* The force applied on the bookshelf towards the direction of motion by George is,
\(F_1=57\text{ N}\)* The force applied on the bookshelf towards the direction of motion by the friend of George is,
\(F_2=25\text{ N}\)* The force of friction opposite to the direction of motion is,
\(F=78\text{ N}\)Solution:
Thus, the net force acting on the bookshelf is,
\(F_{net}=F_1+F_2-F\)Here, the negative sign before the friction force indicates the direction of friction force is oppoiste to the direction of motion,
Substituting the known values,
\(\begin{gathered} F_{net}=57+25-78 \\ F_{net}=4\text{ N} \end{gathered}\)Here, the positive value of net force indicates the net force is acting in the direction of motion of the bookshelf.
Thus, the bookshelf will move to the right with a force of 4 N.
Hence, 4th option is the correct answer.
A container holds a gas consisting of 5.75 moles of oxygen molecules. One in a million of these molecules has lost a single electron. NA=6.022×1023mol−1 , e=1.60×10−19C.
What is the net charge of the gas?
Express your answer to three significant figures and include the appropriate units.
Answers
Answer:The oxygen molecules have lost a total of 0.94 coulombs in charge of their electrons.
Explanation:No
What is the magnitude of the kinetic frictional force?
25 N
125 N
375 N
500 N
Answers
Answer:25N
Explanation:
Answer:
25n
Explanation:
a girl of whose mass is 50kg carries a box of mass 20kg high.she take 16s to climb up the steps (take g=10m/s^2). what is her weight?
Answers
Explanation:
\(w = m.g\)
\(m =70 \\ g = 10\)
70x10=700N
có một hiệu điện thế đặt vào ba điện trở mắc nối tiếp nhau R1, R2, R3. Nếu R1 < R2 < R3 thì điện trở nào chịu hiệu điện thế lớn nhất ? Điện trở nào chịu hiệu điện thế nhỏ nhất ?
Answers
Answer:
There is a potential difference applied to three resistors connected in series R1, R2, R3. If R1 < R2 < R3, which resistor has the greatest potential difference? Which resistor has the smallest voltage?
Explanation:
pls help!!
An object is placed 3.0 cm away from a convex lens of focal length 2.0 cm as shown in fig.
1. Use the lens equation to calculate the image distance.
2. Is the image real or virtual? how do you know ?
Answers
(1) The distance of the image formed by the lens is determined as 6 cm.
(2) The image formed is real.
What is the image distance?The distance of the image formed by the lens is calculated by applying the following formula as follows;
1/f = 1/v + 1/u
where;
v is the image distanceu is the object distancef is the focal length of the lensThe distance of the image formed by the lens is calculated as;
1/v = 1/f - 1/u
1/v = 1/2 - 1/3
1/v = 1/6
v = 6 cm
Since the sign of the image of the image is positive, the image formed is real.
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How do intermolecular forces (IF) and internal kinetic energy (KE) compare in gases?
IF = 0, KE is large
IF < KE
IF ≥ KE
IF > KE
Please help me!
Answers
Answer:
IF < KE
Explanation:
The kinetic energy of the gas is greater than the intermolecular forces making the molecules have room to move around without disruption. In a lot of gases, there are sometimes no intermolecular forces between all the particles.
Best of Luck!
The 10/90 principle can help you take control of your situation in taking responsibility of what you can change rather than in being victim of what you cannot change. Give an example of a situation that can change for you in applying this principle.
Answers
The 10/90 principle can be a powerful tool for taking control of your situation and improving your life. By taking responsibility for what you can change and focusing on your reaction to the situation, you can make positive changes in your life and become the master of your own destiny.
The 10/90 principle refers to the idea that life is made up of 10% of what happens to you and 90% of how you respond to it. In other words, you may not be able to control what happens to you, but you can control your reaction to it. By taking responsibility for what you can change rather than being a victim of what you cannot change, you can take control of your situation and improve your life.One example of a situation where the 10/90 principle could be applied is losing a job. Losing a job can be a devastating experience, and it can be easy to feel like a victim in this situation. However, by applying the 10/90 principle, you can take control of your situation and make positive changes in your life.The first step in applying the 10/90 principle in this situation would be to take responsibility for what you can change. This could mean updating your resume, networking with others in your field, and applying for new jobs. By taking action and doing what you can to find a new job, you are taking control of your situation and improving your chances of finding a new job.
The second step would be to focus on your reaction to the situation. Instead of dwelling on the negative aspects of losing your job, try to focus on the positive aspects. This could mean using the extra time to pursue a new hobby or spend more time with family and friends. By focusing on the positive aspects of the situation, you are taking control of your reaction and improving your overall well-being.
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When the red light turns green at an intersection, you step on the accelerator andyour car begins moving (it was initially at rest). Suppose the angular acceleration ofthe wheels of the car is 6.8 rad/s2. If the car accelerates for 25 seconds, what is theresulting angular displacement? Give your answer in radians
Answers
Given data
The angular acceleration of the car is
\(\alpha=6.8rad/s^2\)The given time is t = 25 s
The expression for the angular displacement is given by the rotational equation of motion as
\(\theta=\frac{1}{2}\alpha t^2\)Substitute the values in the above expression as
\(\begin{gathered} \theta=\frac{1}{2}(6.8)(25)^2 \\ =2125\text{ rad} \end{gathered}\)URGENT PLS ANSWER When sunlight strikes a solar panel, what form of energy is it transformed to?
A. Thermal energy
B. Chemical energy
O C. Electrical energy
D. Gravitational potential energy
Answers
When sunlight strikes a solar panel, the form of energy, it transformed to is thermal energy. The correct option is A.
What is heating?When the temperature is increased , the body or particle is said to be heating.
When Sun rays strikes any object, it gets heated due to the concentration of rays at one place. The heating refers to the type of energy as thermal energy.
Solar panel is specially designed for converting the Solar energy to heat energy.
So, When sunlight strikes a solar panel, the form of energy, it transformed to is thermal energy.
Thus, the correct option is A.
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a bean is placed evenly on a pivot point (fulcrum) on one side of 10N weight is placed 2m from the pivot and a 40N weight a further 4m from the pivot point. How far from the pivot point must the centre of gravity of an 80N weight placed to perfectly balance the beam horizontally?
Answers
Answer:
hope you will understand
Explanation:
I have a material thats 65 cubic feet totaling 40000 cubic yards. How many dump trucks will it take to haul this material?
Answers
It will take about 2,500 dump trucks to haul the material. Assuming the capacity of the dump truck is 16 cubic yards.
Note: A standard dump truck is between 10 -16 cubic yards.
1 cubic yard = 27 cubic feet.
from the question:
40,000 cubic yards= 65 cubic feet
hence,
Assuming the dump truck capacity is 16 cubic yards
Then,
number of dump trucks = 40,000 cubic yards/16 cubic yards
=2,500
Therefore a dump truck of 16 cubic yards capacity, will need about 2,500 dump trucks to haul the material totaling 40,000 cubic yards.
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HELP! An electron is accelerated from 0 m/s to 8 x 10^7 m/s by a uniform electric field. What is the potential difference (voltage) between the plates that make the field?
Answers
The potential difference (voltage) between the plates is approximately 1.45 kV.
The kinetic energy of an electron can be related to the potential difference between the plates of an electric field using the equation:
KE = qV,
where KE is the kinetic energy of the electron, q is its charge, and V is the potential difference between the plates.
We know that the electron is accelerated from rest to a final velocity of 8 x 10^7 m/s, so its change in kinetic energy is given by:
ΔKE = 1/2 mv^2 - 1/2 m(0)^2 = 1/2 mv^2
where m is the mass of the electron.
The potential difference between the plates can be found by rearranging the equation to solve for V:
V = ΔKE / q
Substituting the values we have:
V = (1/2) mv^2 / q
The mass of an electron is approximately 9.11 x 10^-31 kg, and its charge is -1.6 x 10^-19 C. Substituting these values and the final velocity of 8 x 10^7 m/s, we get:
V = (1/2) (9.11 x 10^-31 kg) (8 x 10^7 m/s)^2 / (-1.6 x 10^-19 C)
V = -1.45 kV
Therefore, the potential difference (voltage) between the plates is approximately 1.45 kV.
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what is the most effortless walking speed for a person with 90cm long legs if the length of each step is 90cm
Answers
Answer:
75 cm/second.
Explanation:
Formula:
Walking speed = stride length / time per step
Walking speed = 90cm/time per step
= 90cm/1.2 seconds (a common estimate time per step)
= 75cm/second.
The % DV (percent Daily Value) is based on an average 2,000-calorie diet. One gram of carbohydrate provides 4 calories of energy. If Anna’s doctor recommends getting 60% of her calories from carbohydrates, how many grams of carbohydrates should she consume each day?
Answers
Answer:
300
Explanation:
If the %DV is based on an average 2,000 calorie diet, and one gram of carbohydrate provides 4 calories, you would divide 2,000 by 4.
2,000 divided by 4 equals 500.
If Anna's doctor recommends 60% of her calories, you find out how much 60% of 500 is.
60% of 500 is 300.
Anna should consume 300 grams of carbohydrates daily.
Hope this helps!
Answer:
300
Explanation:
The total distance between 4 consecutive Crust of travel wave is 6m.
what is wave length of wave
3/6m=2m
Answers
The wave's wavelength is 2 metres.
What does wavelength 1 translate into?1/ denotes the number of waves in a wave train that can be found in a length of one metre when wavelength is stated in metres, or the number in wavelength is stated in centimetres, then the length is one centimetre. This value is referred to as the spectrum line's wavenumber. The frequency equation is written as f = /, where is the wave speed and is the wavelength of the wave.
If the total distance between four consecutive crests of a wave is 6 meters, then the wavelength of the wave is equal to that distance divided by the number of crests, which is three.
So the wavelength of the wave is:
6 meters / 3 = 2 meters
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How far does a car travel in 4 s if its initial velocity is 3 m/s and its acceleration is 3 m/s2 in the same direction as its initial velocity?
a.36
b.46
C. 40
d.30
Answers
Please find attached photograph for your answer. The answer is option a. 36
A horizontal force of 12N is applied to 1.5kg of block which rests on a horizontal surface. If the coefficient friction is 0.3, find the acceleration produced in the block. (take g=10m/s^2).
Class 11 Physics
Please answer asap!!
Answers
Answer:
7 m/s²
Explanation:
From the question given above, the following data were:
Force applied (Fₐ) = 15 N
Mass (m) of block = 1.5 Kg
Acceleration due to gravity (g) = 10 m/s²
Coefficient of friction (μ) = 0.3
Acceleration (a) of block =?
Next, we shall determine the frictional force. This can be obtained as follow:
Mass (m) of block = 1.5 Kg
Acceleration due to gravity (g) = 10 m/s²
Coefficient of friction (μ) = 0.3
Normal reaction (R) = mg = 1.5 × 10 = 15 N
Frictional force (Fբ) =?
Fբ = μR
Fբ = 0.3 × 15
Fբ = 4.5 N
Next, we shall determine the net force acting on the block. This can be obtained as follow:
Force applied (Fₐ) = 15 N
Frictional force (Fբ) = 4.5 N
Net force (Fₙ) =.?
Fₙ = Fₐ – Fբ
Fₙ = 15 – 4.5
Fₙ = 10.5 N
Finally, we shall determine the acceleration produced in the block. This can be obtained as follow:
Mass (m) of block = 1.5 Kg
Net force (Fₙ) = 10.5 N
Acceleration (a) of block =?
Fₙ = ma
10.5 = 1.5 × a
Divide both side by a
a = 10.5 / 1.5
a = 7 m/s²
Therefore, the acceleration produced in the block is 7 m/s²
The box shown on the rough ramp above is sliding up the ramp. calculate the acceleration of the box
Answers
We are given that a block is sliding up an incline. A diagram of the situation is given as follows:
To determine the acceleration we will add the forces parallel to the ramp, we will call this direction the x-direction:
\(\Sigma F_x=-mg_x-F_f\)Where:
\(\begin{gathered} m=\text{ mass} \\ g=\text{ acceleration of gravity} \\ mg_{}=\text{ weight} \\ mg_x=\text{x-component of the} \\ F_f=\text{ force of friction} \end{gathered}\)Now we determine the x-component of the weight by using the trigonometric function sine:
\(\sin 40=\frac{mg_x}{mg}\)Now we multiply both sides by "mg":
\(mg\sin 40=mg_x\)Now we substitute this value in the sum of forces:
\(\Sigma F_x=-mg_{}\sin 40-F_f\)Now, to determine the force of friction we will use the following formula:
\(F_f=\mu N\)Where:
\(N=\text{ normal force}\)To determine the normal force we add the forces in the direction perpendicular to the ramp, we will call this direction the y-direction:
\(\Sigma F_y=N-mg_y\)Where:
\(mg_y=y-\text{component of the weight}\)Now, since there is no movement in the y-direction, the sum of forces is equal to zero:
\(N-mg_y=0\)Now we solve for the normal force:
\(N=mg_y\)Now we calculate the y-component of the weight using the trigonometric function cosine:
\(N=mg\cos 40\)Now we substitute this value in the expression for the friction force:
\(F_f=\mu mg\cos 40\)Now we substitute this value in the sum of forces in the x-direction:
\(\Sigma F_x=-mg_{}\sin 40-\mu mg\cos 40\)Now, since the sum of forces is equivalent to the product of the mass by the acceleration we have:
\(-mg_{}\sin 40-\mu mg\cos 40=ma\)We can take "-mg" as a common factor on the left side:
\(-mg(_{}\sin 40+\mu\cos 40)=ma\)We can cancel out the mass:
\(-g(_{}\sin 40+\mu\cos 40)=a\)Now we substitue the values:
\(-(9.8\frac{m}{s^2})(\sin 40+0.2\cos 40)=a\)Now we solve the operations:
\(-7.8\frac{m}{s^2}=a\)Therefore, the acceleration is -7.8 meters per second squared.
Explain why rubbing one side of a metal sphere does not cause it to become charged.
Answers
Please help this question
Answers
Answer:
Kantians would say that Sharkeisha acted immorally since she increased overall pain.
A skateboarder rolls off a horizontal ledge that is 1.32 m high and lands 1.88 m from the base of the ledge what was his initial velocity
Answers
Three objects are brought close to each other, two at a time. When objects A and B are brought together, they attract. When objects B and C are brought together, they repel. From this, we conclude that (a) objects A and C possess charges of the same sign. (b) objects A and C possess charges of opposite sign. (c) all three of the objects possess charges of the same sign. (d) one of the objects is neutral. (e) we need to perform additional experiments to determine information about the charges on the objects.
Answers
B. Objects A and C possess charges of opposite sign.
Attraction of two objects
The attraction of two objects occurs when the two objects have opposite charges.
Repulsion of two objectsThe repulsion of two objects occurs when the two objects have same charges.
Thus, we can conclude that, objects A and C possess charges of opposite sign.
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According to Bernoulli's Principle what statement below is How does a wing achieve
lift?
A.by forcing air to move faster over the top of the wing thus creating lower pressure below the wing and higher pressure above the wing.
B. by forcing air at the same rate over the top and bottom of the wing to equalize pressure
C. by forcing air to move faster over the top of the wing thus creating higher pressure below the wing and lower pressure above the wing.
D. by forcing air to move slower over the top of the wing thus creating higher pressure below the wing and lower pressure above the wing.
Answers
your answer would be C
by forcing air to move faster over the top of the wing thus creating higher pressure below the wing and lower pressure above the wing
hope this helped you- have a good day bro cya)
Write a multiplication sentence that you could use to calculate the volume for each rectangular pris
Problem 1. Include the units in your sentences.
a.
C.
REKA
TH*
TION
Student
Lesson 4:
b.
O Great Minds PBC TEKS Edition |
greatminds.org/Texas
d.
Use multiplication to calculate volume.how do I solve
Answers
The formulated sentences for each will be:
A: If length is 5cm, width 2cm, height 4cm, volume: 40 cubic centimeters.
B: If the length is 3cm, width 4cm, height 2cm, then Volume is: 24 cubic centimeters.
C: If the length is 6cm, width 2cm, height 3cm, the volume is 36 cubic centimeters.
D: If the length is 3cm, width 2cm, height 4cm, the volume 24 cubic centimeters.
What is the rectangular prism?To calculate the volume of a rectangular prism using multiplication, you need to multiply the length, width, and height of the prism. The multiplication sentence for this is:
Volume = length (m) x width (m) x height (m)
For a. The multiplication sentence for calculating the volume of rectangular prism C is:
Volume = Length x Width x HeightVolume = 6 cm x 2 cm x 3 cmVolume = 36 cubic centimetersb. The multiplication sentence for calculating the volume of rectangular prism B is:
Volume = Length x Width x HeightVolume = 3 cm x 4 cm x 2 cmVolume = 24 cubic centimetersc. The multiplication sentence for calculating the volume of rectangular prism C is:
Volume = Length x Width x HeightVolume = 6 cm x 2 cm x 3 cmVolume = 36 cubic centimetersLastly, for d. The multiplication sentence for calculating the volume of rectangular prism D is:
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A 6 kg blue ball rolls across the ground and collides with a stationary 1 kg red ball.
Before the collision the blue ball moved right with a speed of 4 m/s, and after the
collision it moved left with a speed of 1 m/s. If the red ball was not moving before the
collision, how fast is it moving after the collision?
Answers
The final velocity of the red ball is 18 m/s.
What is momentum?The term momentum has to do with the product of the mass and the velocity of an object We know that the momentum is always conserved in accordance with the Newton third law. Also it is clear that the momentum before collision is equal to the total momentum after collision and we are going to apply this principle here.
Then;
Mass of the blue ball = 6 kg
Mass of the red ball = 1 kg
Initial velocity of the blue ball = 4 m/s
Initial velocity of the red ball = 0 m/s
Final velocity of the red ball = ??
Final velocity of the blue ball = 1 m/s
We now have;
(6 * 4) + (1 * 0) = (1 * v) + (6 * 1)
24 = v + 6
v = 24 - 6
v = 18 m/s
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ចំនុចរូបធាតុមួយចរពាក់កណ្តាលដំបូងនៃចម្ងាយចររបស់វាដោយល្បឿនប, = 2 m/s ហើយកំណាត់ផ្លូវ
ដែលនៅសល់ វាចរដោយល្បឿន I = 3 m/s ដោយប្រើពាក់កណ្តាលដំបូងនៃរយៈពេលសរុបលើកំណាត់ផ្លូវ
និងពាក់កណ្តាលចុងក្រោយដោយល្បឿន 4 = 5 m/s ។
នេះ:
Answers
Answer:
Explanation:
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