F = (0.20 kg) x (5.0 \(m/s^{2}\)) = 1.0 N, which is the same as the applied unbalanced force.
Newton's second law of motion states that the acceleration of an object is directly proportional to the net force acting on it and inversely proportional to its mass.
The given situation describes an object with a mass of 0.20 kg experiencing an acceleration of 5.0 \(m/s^{2}\) when an unbalanced force of 1.0 N is applied to it.
The net force acting on the object can be calculated using the equation F = ma, where F is the net force, m is the mass, and a is the acceleration.
Therefore, F = (0.20 kg) x (5.0 \(m/s^{2}\)) = 1.0 N, which is the same as the applied unbalanced force.
This illustrates that the acceleration of the object is directly proportional to the force applied to it, in accordance with Newton's second law of motion.
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Two kids on skateboards roll along together (side by side), traveling at 2.00 m/s. The 60.0 kg
kid pulls back on the 50.0 kg kid, which boosts his own speed to 3.00 m/s. Find the resulting
speed of the 50.0 kg kid.
The resulting speed of the 50 kg kid, if was moving with an initial speed of 2 m/s is 0.8 m/s.
What is speed?Speed is the rate of change of distance.
To calculate the resulting speed of the kid, we use the formula below
Formula:
(m+M)u = mV+Mv........................ Equation 1Where:
m = Mass of the first kidM = Mass of the second kidu = Initial speedV = Final speed of the first kidv = Final speed of the second kidFrom the question,
Given:
m = 60 kgM = 50 kgu = 2 m/sV = 3 m/sSubstitute these values into equation 1 and solv for v
2(60+50) = (3×60)+(50×v)220 = 180+50v50v = 220-18050v = 40v = 40/50v = 0.8 m/sLearn more about speed here: https://brainly.com/question/26046491
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Calcula la lectura del amperímetro ideal en l figura
Answer:
2/3 Amp
Explanation:
Write the two equations for the two complete loops in the circuit:
Upper loop: i1 * 1 Ω + 7 V + (i1 - i2) 1 Ω - 6 V= 0
2 i1 - i2 = -1
Lower loop: (i2 - i1) 1 Ω + 6 V + i2 1 Ω - 3 V = 0
- i1 + 2 i2 = -3
Solve the system of two equations:
i1 = -5/3 Amp
i2 = - 7/3 Amp
Therefore, an amp-meter in the branch of the 6V battery will read the difference between current i1 and i2. That is 2/3 Amp.
Lamp is placed in the lamp holder. The switch is closed. The lamp glows brightly for a short time and then the lamp does not work. Explain these observations
Solution :
It is given that the lamp glows brightly for a shorter period of time when the switch is closed on it the switch is put on. But after the some time the lamp goes off and it stops working.
This is because as soon as we on the switch, the current start flowing to the lamp which makes the filament of the lamp to glow, but due to some issue, the current stop flowing even when the switch is on and this stops the lamp from glowing and hence the lamp does not work.
Gravity obeys an inverse square relation. This statement implies that the force due to gravity betweentwo massesa.will increase as the distance between the two masses increases.*b.will decrease as the square of the distance between the two masses increases.c.will cause the two masses to move away from each other.d.will cause the two masses to move in a straight line.e.will cause the two masses to orbit each other.
The inverse square relation implies that force resulting from gravity between two masses will decrease as the square of the distance between the two masses increases.
The force of gravity between any two objects is given by,
F = GM₁M₂/R²
Where,
M₁ and M₂ are the masses of the bodies.
R is the distance between them.
We know, if the masses are constant. then the force of gravity will be inversely proportional to the square of the distance between them.
This is what inverse square relation means here.
As the force of gravity and the square of the distance are inversely proportional to each other,
So, when the square of the distance between the masses increases, the force of gravity between the decreases.
Hence of all the options provided, b is the correc0,t which says, the force will decrease on increasing the inverse square of the distance.
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A cheetah can run 113 km/h in short busts. How far can a cheetah run in 0.25 hours (15 minutes)?
water is 11.2% hydrogen. if a bowl of water contains 1.44 kg of hydrogen, how many kg of water are there?
A bowl of water containing 1.44 kilogram of hydrogen will have 12.9 kilograms of water.
As per the known fact, 18 grams of water has 11.2% hydrogen. Amount of hydrogen in 18 grams of water = 18×11.2%
Amount of hydrogen in 18 grams of water = 2.016 grams
Amount of hydrogen in question = 1.44 × 1000
Amount of hydrogen in question = 1440 grams
2.016 grams of hydrogen is present in amount in of water = 18 grams
1440 grams of hydrogen will be in amount of water = (18/2.016) × 1440
Amount of water = 8.93 × 1440
Amount of water = 12,859.2 grams or 12.9 kg
Thus, amount of water is 12.9 kilograms.
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A stretched string fixed at both ends is
2.0 m long. What are three wavelengths
that will produce standing waves on this string? Name at least one
wavelength that would not produce a standing wave pattern, and explain
your answer.
The three wavelengths that will produce standing waves on this string are 4 m, 2 m, and 1.33 m.
How did we get the values?To find the wavelengths that will produce standing waves on a stretched string fixed at both ends, we can use the formula:
λn = 2L/n
where λn is the wavelength of the nth harmonic, L is the length of the string, and n is the harmonic number.
For the fundamental frequency (n = 1), the wavelength would be:
λ1 = 2L/1 = 4 m
For the second harmonic (n = 2), the wavelength would be:
λ2 = 2L/2 = L = 2 m
For the third harmonic (n = 3), the wavelength would be:
λ3 = 2L/3 ≈ 1.33 m
So, the three wavelengths that will produce standing waves on this string are 4 m, 2 m, and 1.33 m.
Now, for a wavelength that would not produce a standing wave pattern, we can consider the case where the wavelength is equal to the length of the string, i.e., λ = L. In this case, the wave will not produce a standing wave pattern because the ends of the string are fixed nodes, and the only possible standing wave pattern is one that has a node at each end. If the wavelength is equal to the length of the string, the only possible pattern would be a single wave with an antinode at the center, which is not a standing wave.
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Select the correct answer. The formula for calculating power is work divided by time (power = work ÷ time). What are two ways of stating the same relationship? work = power ÷ time work = power × time time = work ÷ power time = work × power power = work × time
Answer:
work = power × time
time = work ÷ power
Explanation:
Power is defined as the rate at which work is done.
It is mathematically expressed as;
Power = \(\frac{work}{time}\)
From this expression, if we cross multiply, we get;
work = power x time
Also, if we divide both sides by power, we get;
time = work ÷ power
The process of cytokinesis is different in plant and animal cells. What structure is needed for a plant cell to go through cytokinesis?
Answer:
Cytokinesis occurs differently in animal and plant cells. In animal cells, the plasma membrane of the parent cell pinches inward along the cell's equator until two daughter cells form. In plant cells, a cell plate forms along the equator of the parent cell.
Explanation:
an airplane flies eastward and always accelerates at a constant rate. at one position along its path, it has a velocity of 33.3 m/s . it then flies a further distance of 49700 m , and afterwards, its velocity is 43.5 m/s . find the airplane's acceleration. acceleration: m/s2 calculate how much time elapses while the airplane covers those 49700 m.
The acceleration of the airplane is \(7.88\times 10^{-3} m/s^2\) and the time elapsed while the airplane covers \(49700\) \(m\) is \(1294.42s\).
Let us consider the value of acceleration is \(a\) \(m/s^2\) and the time elapsed while the airplane covers \(49700\) \(m\) is \(t\) \(s\).
It is given that,
The initial velocity of the airplane, \(u=33.3 m/s\).
The final velocity of the airplane, \(v=43.5m/s\).
The distance covered by the airplane, \(s=49700 m\).
It is known that, \(v^2=u^2+2as\).
\(\Rightarrow (43.5)^2=(33.3)^2+2a(49700)\)
\(\Rightarrow 1892.25=1108.89+99400a\)
\(\Rightarrow 1892.25-1108.89=99400a\)
\(\Rightarrow 783.36=99400a\)
\(\Rightarrow a=\frac{783.36}{99400}\)
\(a=7.88\times 10^{-3} m/s^2\)
Hence, the acceleration of the airplane is \(7.88\times 10^{-3} m/s^2\).
It is known that, \(v=u+at\).
\(\Rightarrow 43.5=33.3+(7.88\times10^{-3})t\)
\(\Rightarrow 43.5-33.3=(7.88\times10^{-3})t\)
\(\Rightarrow 10.2=(7.88\times10^{-3})t\)
\(\Rightarrow t=\frac{10.2}{7.88\times10^{-3}}\)
\(\Rightarrow t=1294.42 s\)
Hence, the time elapsed while the airplane covers \(49700\) \(m\) is \(1294.42s\).
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A ball is rolled twice across the same level laboratory table and allowed to roll off
the table and strike the floor. In each trial, the time it takes the ball to travel from the
edge of the table to the floor is accurately measured. [Neglect friction.]
a) In trial A, the ball is traveling at 2.50 meters per second when it reaches
the edge of the table. The ball strikes the floor 0.391 second after rolling
off the edge of the table. Calculate the height of the table. (Organize your
given variables. Do not mix x-variables with the y-variables)
Answer:
Explanation:
To calculate the height of the table in this scenario, we can use the equations of motion. Let's define the variables first:
Initial velocity (u) = 2.50 m/s (given)
Time taken to reach the floor (t) = 0.391 s (given)
Acceleration due to gravity (g) = 9.8 m/s² (assuming the ball falls freely near the surface of the Earth)
Now, we can use the kinematic equation:
h = u * t + (1/2) * g * t²
Plugging in the given values, we have:
h = (2.50 m/s) * (0.391 s) + (1/2) * (9.8 m/s²) * (0.391 s)²
Simplifying the equation:
h = 0.97875 m + 0.07511 m
h = 1.05386 m
Therefore, the height of the table is approximately 1.05386 meters.
A highway speed limit is posted as 90 km/hr. Is this average speed or instantaneous speed? Explain your answer.
When training for muscular endurance, how should the athlete alter the number of repetitions he or she performs in an
exercise?
O More reps should be executed.
O Fewer reps should be executed.
O Raising or lowering the number should depend on the exercise and goals.
O The number of reps should not be changed.
15. A student determines the average speed of a bubble rising through a liquid at constant speed.
When the student starts the stopwatch the bubble is at position P. After 2.0 s the bubble is at position Q.
The speed between P and Q remains the same throughout the 2.0-second interval.
The speed of the bubble between positions P and Q can be determined by dividing the displacement by the time taken. In this case, the displacement is the distance between positions P and Q, and the time taken is 2.0 seconds.
To calculate the speed, we need to know the numerical values for the displacement and the time taken. Let's assume that the displacement is represented by Δx, and the time taken is 2.0 seconds.
The speed can then be calculated using the formula: speed = displacement / time.
For example, if the displacement Δx is 10 meters and the time taken is 2.0 seconds, the speed of the bubble between P and Q would be 10 meters / 2.0 seconds = 5 m/s. It's important to note that in this scenario, since the bubble is rising at a constant speed, the speed between P and Q remains the same throughout the 2.0-second interval.
The question was incomplete. find the full content below:
A student determines the average speed of a bubble rising through a liquid at constant speed. When the student starts the stopwatch the bubble is at position P. After 2.0 s the bubble is at position Q.
What is the speed of the bubble between P and Q?
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3.5 x 10^-3 as a regular number (convert from scientific notation to a real number)
Answer: 0.0035
============================================
Explanation:
The exponent is -3, so we move the decimal point 3 spots to the left to go from 3.5 to 0.0035
If the exponent was positive, then we would move the decimal point to the right that amount of spaces.
Imagine two equally charged objects that are hanging a certain distance from one another. How does the force between them change if the distance between them triples?
The force is 1/9 as great
The force becomes 9x's greater
The force becomes 3x's greater
The force is 1/3 as great
Answer The force is multiplied times 9
Explanation:
What seems to happen to the force of interaction between the charged tape and charged rod as the distance between them decreases?
As the distance between charged tape and charged rod decreases, the force of interaction between them increases.
The force of interaction between the charged tape and charged rod is governed by Coulomb's Law.
This law states that the force between two charged objects is directly proportional to the product of their charges and inversely proportional to the square of the distance between them.
So, as the distance between the charged tape and charged rod decreases, the force of interaction increases.
This is because the charges on the objects are now closer to each other, allowing for a stronger attraction or repulsion, depending on the nature of the charges (like charges repel, opposite charges attract).
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Which of the following is the energy stored in an object as a result of its vertical position or height? Elastic potential energy Gravitational potential energy Kinetic energy Thermal energy
Answer:
Gravitational potential energy
Explanation:
Gravity would act upon it if it were not suspended.
Answer: Gravitational potential energy
Explanation: I did the quiz! Hope it helped!
20 POINTS!!
This box of macaroni is used in both parts of this question.
Find the volume of this box of macaroni. Be sure to show your work and label all units.
Answer:
348
Explanation:
because maths ;)
The box of macaroni are in the shape of a cuboid, and the volume of the cuboid in the same unit will be 348 cm.
What is Volume?A three-dimensional space's volume can be calculated. It is frequently expressed in numerical form using SI-derived units or by different imperial units (such as the gallon, quart, and cubic inch). Volume and length are related by the definition of length (cubed). In contrast to how much space the container occupies, the volume of a container is typically thought of as its carrying capacity or the amount of fluid (liquid or gas) that it could hold.
According to the question, the given values are :
Length, l = 16 cm
Width, b = 7.5 cm
Height, h = 2.9 cm
So, the volume of the Cuboid will be, V : l × b × h
V = 16 × 7.5 × 2.9
V = 348 cm³.
Hence, the volume of macaroni box will be 348 cm³.
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In an electric circuit comprising of a copper wire of length L and area of cross section A, the ammeter reads 5 A. How will the reading in the ammeter change when
a) length of the copper wire is reduced? b) more thicker copper wire is used?
c) a nichrome wire of length L and area of cross section A is used in place of copper wire?
a) When the length of the copper wire is reduced, the reading in the ammeter will remain unchanged as long as the resistance of the wire remains constant.
This is because the current flowing through a wire is inversely proportional to its length, according to Ohm's Law (V = IR), where V is the voltage, I is the current, and R is the resistance. As long as the voltage and resistance remain constant, the current will also remain constant.
b) If a thicker copper wire is used, the reading in the ammeter will decrease. This is because the resistance of a wire is inversely proportional to its cross-sectional area. When a thicker wire is used, its cross-sectional area increases, leading to a decrease in resistance. According to Ohm's Law, with a constant voltage, a decrease in resistance will result in an increase in current. Therefore, the ammeter reading will be higher when a thicker wire is used.
c) If a nichrome wire of the same length and cross-sectional area is used in place of the copper wire, the reading in the ammeter will depend on the resistance of the nichrome wire. Nichrome has a higher resistivity compared to copper, meaning it has a higher resistance for the same length and cross-sectional area. Therefore, when the nichrome wire is used, the resistance of the circuit increases, resulting in a decrease in current according to Ohm's Law. As a result, the ammeter reading will be lower when the nichrome wire is used
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In the equation E = mc2, E stands for
Answer: energy=mc^2 is the answer
Answer:
E represents units of energy
Explanation:
five moles of ideal gas located inside a cylinder with a movable piston are heated to 4 ° C. While the gas is being heated, it does the job by raising the piston up. Atmospheric pressure is not taken into account
Answer:
Explanation:
You didn't ask a question here, but I assume you want the pressure? You can use the ideal gas equation stating that:
PV = nRT
The 'P' is pressure, the 'V' is volume, the 'n is number of moles of gas, the 'R' is the ideal gas constant, and the 'T' is the temperature. First convert the Celsius degrees into Kelvin by using the following relation:
C + 273.15 = K
4 + 273.15 = 277.15K
Now, find the volume of a cylinder by using:
\(V=\pi r^2l\)
The 'l' is the length of the cylinder
Now just plug and chug everything into the ideal gas equation:
\(PV=nRT\)
\(P(\pi r^2l)=(5moles)(8.3145J/moles*K)(277.15K)P=\frac{11.52J}{\pi r^2l}\)
What is the frequency of a wave with wavelength of 200 meters that is traveling at 5,000m/s
Among electromagnetic waves, UV rays are most dangerous because exposure to these radiation cause serious problems in living organism. Therefore, the frequency of wave is 25 Hz.
What is electromagnetic wave?Electromagnetic wave is a wave which contain two component one is electric component and other is magnetic component. The electric and magnetic component are perpendicular to each other. There are so many wave that comes under electromagnetic wave like infrared wave , radio wave
speed of wave= distance travelled by wave ÷ time taken by the wave
speed of wave= 5,000m/s
distance travelled by wave = wavelength of wave = 200 meters
Substituting all the given values in the above equation, we get
5,000m/s= 200 meters ÷ time taken by the wave
time taken by the wave= 0.04 s
Frequency = 1 ÷time taken by the wave
= 1÷0.04
=25 Hz
Therefore, the frequency of wave is 25 Hz.
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True or False: In circular motion, the centripetal acceleration changes only the direction of velocity, but not its magnitude.
True. In circular motion, the centripetal acceleration changes only the direction of velocity, but not its magnitude.
Centripetal acceleration is the acceleration directed toward the center of the circular path and is responsible for keeping an object moving in a curved path. It is always perpendicular to the velocity vector of the object at any given point on the path.
The magnitude of the centripetal acceleration, denoted as "a_c," can be calculated using the following formula:
a_c = (v^2) / r
Where:
- v is the magnitude of the velocity of the object
- r is the radius of the circular path
As the object moves along the circular path, its velocity vector constantly changes direction. However, the magnitude of the velocity, represented by "v," remains constant unless acted upon by an external force.
Therefore, the centripetal acceleration only affects the direction of the velocity vector, causing it to continuously change, while the magnitude of the velocity remains constant.
True. In circular motion, the centripetal acceleration changes only the direction of velocity, but not its magnitude.
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PLEASE HELP ME I AM TIMED!
Answer: C
Explanation:
Please explain
A 50-kg person is in an elevator. Determine the normal force exerted on the person by the elevator, if the elevator is accelerating downwards at 5 m/s^2.
You arrive in science class 45 seconds after leaving math which is 90 meters to the south. What is your velocity?
Explanation: Well, If you arrive in my class 45 seconds after leaving math, which is 90 meters away. you traveled 2m/s ( I hope this helped <3)
When you are driving with a trailer in tow and the road curves to the right, you should:a. Keep your vehicle in the center of your laneb. Move closer to the edge of the roadwayc. Allow more distance from the edge of the pavementd. Move your vehicle over into the oncoming traffic lane while traveling through the curve
When you are driving with a trailer in tow and the road curves to the right, you should move closer to the edge of the roadway during the traffic. Hence, the correct option is (b).
This will help ensure that the trailer does not swing out into the oncoming traffic lane while you are navigating the curve. Additionally, it is important to allow more distance from the edge of the pavement, as the trailer will require more room to make the turn. Driving in heavy traffic can be stressful, but there are some tips and strategies that can help make it easier. First, make sure to leave yourself plenty of time to reach your destination. This will help reduce your stress levels, as you won't be rushing to get somewhere. Second, try to stay in the center lane as much as possible. This will give you the most flexibility and maneuverability in traffic. Third, keep your speed steady, as sudden acceleration and deceleration can make it difficult to navigate traffic and can also be distracting to other drivers.
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A. It Implies That M Is Finitely Generated. B. It Implies That M Has Nonzero Elements Of Nonzero Order. C. When Every Non-Null Element Has Null . D. In The Case That The Ring R Is A Body. E. None Of The Above Alternatives Gives A
Which of the following alternatives give a true statement. Justify your answer.
A modulus M over a ring R has a finite basis:
a. It implies that M is finitely generated.
b. It implies that M has nonzero elements of nonzero order.
C. When every non-null element has null .
d. in the case that the ring R is a body.
e. None of the above alternatives gives a true statement.
Which of the following statements are true?
a. If a subset of a module generates that whole module, then the subset cannot be
empty.
b. Every submodule S of a module M verifies the inequality C. Two different subsets of M have to generate two different submodules of M.
d. If S generates a submodule N of the module M, then contains S.
e. Neither statement is true.
The correct answer is e. None of the above alternatives gives a true statement. None of the statements in options a, b, c, and d are true when it comes to a modulus M over a ring R having a finite basis.
When a modulus M can be formed entirely from a finite set of elements, the modulus M is said to be finitely generated. M's finite basis does not, however, automatically imply that M is finitely generated. A basis is a set of linearly independent elements, and it might not be enough to produce all of the components of the modulus.
According to the assertion in option b, M must include nonzero items of nonzero order if it has a finite basis. This is untrue, though. The smallest positive number k, such that the element raised to the power of k equals the identity element, is referred to as the order of an element.
According to option c, every non-null element in a modulus with a finite basis has a null. Nevertheless, this claim is likewise untrue. It is possible for a modulus with a finite basis to have non-null elements without a null element.
According to option d, a ring R is a body, or a field, and only then can a modulus have a finite basis. However, this assertion is also untrue. Even though the ring R is not a field, a modulus can nonetheless have a finite basis. None of the given alternatives provides a true statement about a modulus M over a ring R having a finite basis.
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Two thin hollow plastic spheres, about the size of a ping-pong ball with masses ( m1=m2=0.002 kg) have been rubbed with wool. Sphere 1 has a charge q1=-8 × 10e-9 C and is at location < 0.37, -0.26, 0 > m. Sphere 2 has a charge q2= -6 × 10e-9 C and is at location < -0.31, 0.45, 0> m. It will be useful to draw a diagram of the situation, including the relevant vectors.
(a) What is the relative position vector pointing from q1 to q2 ? < , , > m
(b) What is the distance between q1 and q2 ? m
(c) What is the unit vector in the direction of r ? < , , >
(d) What is the magnitude of the gravitational force exerted on q2 by q1? N
(e) What is the gravitational force (vector) exerted on q2 by q1 ? < , , > N
(f) What is the value of ? N
(g) What is the electric force (vector) exerted on by ? < , , > N
(h) What is the ratio of the magnitude of the electric force to the magnitude of the gravitational force?
(You see that electric forces between two small charged objects are typically very much larger than gravitational forces between those same small objects. It takes the entire mass of the Earth to exert a sizable gravitational force on a small object.)
(i) If the two masses were 6 times farther away (that is, if the distance between the masses were 6 ), what would be the ratio of the magnitude of the electric force to the magnitude of the gravitational force now?
The relative position vector pointing from q₁ to q₂ (-0.68 î + 0.71 ) and the distance between q₁ and q₂ (0.983 m)
What is gravitational force?According to Newton's universal law of gravitation, there is a direct relationship between the sum of the masses of the two bodies and an inverse relationship between the square of the distance between them.
Given m₁=m₂
=0.002kg
q₁= -8×10⁻⁹ C at (0.37, -0.26, 0) m
q₂= -6×10⁻⁹ C at ( -0.31, 0.45, 0)m
a) Position vector from q₁ to q₂ is :
ř = Position vector of q₂ - Position vector of q₁
ř = ř₂ - ř₁
ř₂ = -0.31 î + 0.45 ĵ
ř₁ = 0.37 î + -(0.26) ĵ
ř = ř₂ - ř₁
= (-0.31 î + 0.45 ĵ ) - (0.37 î - 0.26 ĵ )
=( -0.31 - 0.37)î + (0.45+0.21)ĵ
= -0.68 î + 0.71 ĵ
b) distance between q₁ and q₂ is |ř| :
= √-0.68² + 0.71²
= √ 0.4624 +0.504
= 0.983 m
c) unit vector in direction of r is ř/|r| :
= -0.68 î + 0.71 ĵ / 0.983
= -0.6916 î + 0.7223 ĵ
d) the strength of the gravitational pull that q₁ has on q₂ :
Fg = G×m₁×m₂/|r²
= 6.67× 10⁻¹¹ ×0.002×0.002/ 0.983²
= 2.76×10⁻¹⁶ N
e) the gravitational force is always attracted so it will be toward q₁
so the vector is ř₃ = ř₁ - ř₂
= ( 0.37 î + 0.26 ĵ ) - ( -0.31 î + 0.45 ĵ )
= ( 0.68 î - 0.71 ĵ )
ř₃ = √0.68² + 0.71²
= √0.4624 + 0.504
= 0.983
f) infact ř₃ = -ř & |ř₃| = |ř|
so unit vector in direction of r₃ is
ř₃/ |r₃|
( 0.69 î - 0.71 ĵ ) / 0.983
ř₃ = 0.6916 î - 0.7223 ĵ
in vector form force bye q₁ on q₂ is
Fg = 2.76×10⁻¹⁶ × (0.6916 î - 0.7223 ĵ)
= 1.908×10⁻¹⁶ î - 1.9935× 10⁻¹⁶ ĵ
g) the electric force on q₂ by q₁ :
(Fe) = k×q₁×q₂/r²
= 9 × 10⁹ × (-8 ×10⁻⁹ ) × (-6 ×10⁻⁹ ) / 0.983²
= 4.47× 10⁻⁷ N
in vector form, since the force is repulsive so it is away from the charge
Fe = 4.47×10⁻⁷ × ( -0.6916 î + 0.7223 ĵ)
= -3.0914× 10⁻⁷ î + 3.22868× 10⁻⁷ ĵ
h) ratio |Fe| / |Fg|
= 4.47× 10⁻⁷ / 2.76× 10⁻¹⁶
= 1.61 × 10⁹ N
i) The new distance between the particle is now 6(ř) :
On applying formula
F'e = k×q₁×q₂ / (6|r|)²
= k×q₁×q₂ / 36 (r)²
= 1 / 36( k×q₁×q₂ / r ) = Fe/36
F'g = G ×m₁ ₓm₂ / (6|r|)²
= G× m₁ × m₂ / 36 (r)²
= 1 / 36(G×m₁×m₂ / r²) Fg/36
Ratio Fe/36/Fg/36
= Fe/Fg = 1.61 ×10⁹ N
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