The magnitude and direction of the net electric force on each of the spheres is 1.92 x 10⁻⁵ N to the right.
What is the net electric force on the charges?The net electric force on the charges is calculated as follows;
F (net) = F (AB) + F (BC)
where;
F (AB) is the electric force between sphere A and BF (BC) is the electric force between sphere B and CThe electric force between sphere A and B is calculated as follows;
F ( AB ) = kq₁q₂ / r²
where;
q₁ is charge of sphere Aq₂ is charge of sphere Br is the distance between the two spheresK is Coulomb's constantF (AB) = ( 9 x 10⁹ x 5.1 x 10⁻⁹ x 1.6 x 10⁻⁹ ) / ( 0.03² )
F (AB) = 8.16 x 10⁻⁵
since it is between two positive charges, it will be repulsive, hence F (AB) = - 8.16 x 10⁻⁵
The electric force between sphere B and C is calculated as follows;
F (BC) = ( 9 x 10⁹ x 2.8 x 10⁻⁹ x 1.6 x 10⁻⁹ ) / ( 0.02² )
F (BC) = 1.008 x 10⁻⁴ N
since the force is between opposite charges, it will attractive, so F (BC) is positive.
The net force on each sphere is calculated as;
F (net) = -8.16 x 10⁻⁵ N + 1.008 x 10⁻⁴ N
F (net) = 1.92 x 10⁻⁵ N
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Two equal masses are floating in space. The distance between their centers is X. How would the gravitational force between them change if the mass of one of the objects doubled?
A.The force would be the same.
B. The force would be one-fourth as much.
C. The force would be one-half as much.
D. The force would be twice as much.
The gravitational force between them would be twice as much.
option D is the correct answer.
What is Newton's law of universal gravitation?Newton's law of universal gravitation states that the force of attraction between two object in the universe is directly proportional to the product of their masses and inversely proportional to the square of the distance between the two objects.
Mathematically, the formula for Newton's law of universal gravitation is given as;
F = ( Gm₁m₂ ) / ( R² )
where;
m₁ is the mass of the first objectm₂ is the mass of the second objectR is the distance between the two objectsG is universal gravitation constantWhen mass of one of the objects doubles, the new gravitational force will be calculated as;
F' = ( Gm₁ x 2m₂ ) / ( R² )
F' = 2( Gm₁m₂ ) / ( R² )
F' = 2F
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20-mH inductor is connected across an AC source with a variable frequency and a constant-voltage amplitude of 9.0 V.
(a) Determine the reactance of the circuit and the maximum current through the inductor when the frequency is set at 20 kHz.
(b) Do the same calculations for a frequency of 60 Hz.
(a) At 20 kHz, the reactance of the inductor is X_L = 2πfL = 2π(20,000 Hz)(20 mH) = 1,256 Ω. The maximum current through the inductor is I_max = V/X_L = 9 V/1,256 Ω = 7.14 mA.
What is reactance?Reactance is an electrical phenomenon that occurs when an alternating current (AC) is applied to an inductive circuit. It is a type of opposition to the flow of electric current due to the inductance of the circuit. Reactance is measured in ohms and is the result of the inductive effect of the circuit components. When an AC voltage is applied to a circuit, the current that flows through the inductive circuit opposes the voltage change and produces an opposing voltage across the inductor which is called reactance.
(b) At 60 Hz, the reactance of the inductor is X_L = 2πfL = 2π(60 Hz)(20 mH) = 377 Ω. The maximum current through the inductor is I_max = V/X_L = 9 V/377 Ω = 23.87 mA. At lower frequencies, the reactance of the inductor is lower, so the current through the inductor is higher.
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How can i balance this Erick
Answer:
Option a. The baton's center of mass is closer to the larger sphere, making the lever arm distance between your hand and the center of mass longer in option a than in option b. The longer lever arm distance gives you finer control.
the period of a simple pendulum increases by 50% when the length of the pendulum is increased by 0.6 m.
The intial length of the pendulum is
a) 1.2m
b) 0.48m
c) 0.24m
d) 0.12m.
Answer:
b) 0.48m is the right answer.
Which is the correct answer
The correct product of the above nuclear reaction is 221/87 Fr (option C).
What is a nuclear reaction?A nuclear reaction is the process such as the fission of an atomic nucleus, or the fusion of one or more atomic nuclei and/or subatomic particles in which the number of protons and/or neutrons in a nucleus changes.
In a nuclear reaction, the reaction products may contain a different element or a different isotope of the same element.
Alpha decay is a specific type of nuclear reaction in which an alpha particle made up of helium-4 atom (consisting of two protons and two neutrons), is emitted.
According to this question, the nuclear reaction (alpha decay) of an atom with mass number 225 and atomic number 89 is given. To find the mass number and atomic number of the product, we subtract 4 and 2 respectively.
225 - 4 = 22189 - 2 = 87Therefore, option C is correct.
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You weigh 650 N.
What would you weigh if the Earth were
five times as massive as it is and its radius
were five times its present value?
Answer in units of N.
If the earth is 5 times as massive and the radius 5 times its present value, your weight will be 130 N.
How to find the weight of the body?Weight is the amount of gravitational force acting on an object as a result of the gravitational attraction of the Earth.
Assuming gravitational force = [tex]F = \frac{Gm_{1} m_{2} }{r^{2} }[/tex]
where G = 6.67 x 10⁻¹¹m³/kgs², a universal constant.
m = masses of two objects and
r = distance of two objects.
Given that W = 650 N
m₁ = 5Me, new mass of earth
r = 5re, new radius of earth
Then [tex]650 N = \frac{GM_{E} m}{r^{2}_{E} }[/tex]
Let the new weight be [tex]F = \frac{GM m}{r^{2} }[/tex]
Substituting the new mass and radius;
[tex]F = \frac{G(5M_{E}) m}{(5r_{E})^{2}}[/tex]
[tex]F = \frac{5}{25} \frac{GM_{E} m}{r^{2}_{E}}[/tex]
Knowing that [tex]650 N = \frac{GM_{E} m}{r^{2}_{E} }[/tex]
[tex]F = \frac{5}{25}(650 N)[/tex] = 0.2 x 650N
F = 130 N
When the earth is 5 times its radius and 5 times its mass a weight of 650N will become 130 N.
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Which of the following correctly displays the four fundamental forces in terms of increasing magnitude?
A. Electromagnetic force, gravity, weak nuclear force, strong nuclear force
B. Gravity, electromagnetic force, strong nuclear force, weak nuclear force
C. Weak nuclear force, gravity, strong nuclear force, electromagnetic force
D. Gravity, weak nuclear force, electromagnetic force, strong nuclear force
D. Gravity, weak nuclear force, electromagnetic force, strong nuclear force
The four fundamental forces in the universe, in order of increasing magnitude, are:
Gravity: This is the weakest of the four fundamental forces. It is the force that holds everything together and is responsible for the attraction between masses.
Weak Nuclear Force: This force is responsible for certain types of radioactive decay and the fusion of nuclei in stars. It is about 10^25 times weaker than the strong nuclear force.
Electromagnetic Force: This force is responsible for electric and magnetic interactions, such as the forces between charges, the forces between magnets, and the forces between electric currents.
Strong Nuclear Force: This is the strongest of the four fundamental forces. It holds the protons and neutrons in an atom's nucleus together, and it is about 10^38 times stronger than the electromagnetic force.
Therefore, the correct order of the four fundamental forces in terms of increasing magnitude is D: Gravity, weak nuclear force, electromagnetic force, strong nuclear force
Help, I have no clue what the answer is
Answer:
A. 1
B. n
C. 0
Explanation:
The numbers to the right of the symbols represent the [tex]\frac{mass\ number}{atomic\ number}[/tex]. Recall that the mass number is the sum of the number of neutrons and the number of protons in an atom's nucleus. The atomic number is the number of protons in an atom's nucleus. For this equation to be true, both sides must agree on the total number of subatomic particles. So, for the mass number:
[tex](1+235)=(99+133+4A)\\236=232+4A\\4=4A\\1=A[/tex]
This means the sum of the protons and neutrons in the particle is 1.
For the atomic number:
[tex](0+92)=(41+51+4C)\\92=92+4C\\0=4C\\0=C[/tex]
This means there are 0 protons in the particle.
The two derived values indicate that the particle is a lone neutron. So, the answer to B is n.
A student wants to investigate the motion of a ball by conducting two different experiments, as shown in Figure 1 and Figure 2 above. In Experiment 1, the student releases a ball from rest and uses a slow-motion camera to film the ball as it falls to the ground. Using video analysis, the student is able to plot the ball’s horizontal position x and vertical position y as a function of time t . In Experiment 2, the student horizontally rolls the same ball off a table, and uses video analysis to plot the ball’s horizontal position x and vertical position y as a function of time t starting from the instant the ball leaves the table. The graphs from each experiment are shown above along with each graph’s best-fit curve line.
The student can conclude that in Experiment 1, the ball is following a parabolic path, demonstrated by the best-fit curve line. In Experiment 2, the ball is following a linear path, demonstrated by the best-fit curve line.
What is curve?
A curve is a line in a two-dimensional plane that is bent or curved. It is often used to describe the shape of objects or mathematical functions. It is often used to study changes in data over time and to understand the behavior of functions and equations. Curves can be described using a variety of mathematical equations and equations can be used to predict the behavior of a curve. Additionally, curves can be used to describe the motion of physical objects and to help visualize the relationships between the objects.
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The driver of a car traveling at 31.3 m/s applies the brakes and undergoes a constant
deceleration of 1.6 m/s^2.
How many revolutions does each tire make
before the car comes to a stop, assuming that
the car does not skid and that the tires have
radii of 0.31 m?
Answer in units of rev.
The distance the car travels before coming to a stop can be calculated using the equation d = (v^2 - u^2)/2a, where v is the initial velocity, u is the final velocity, and a is the acceleration.
What is acceleration?
Acceleration is the rate of change of velocity over time. It is defined as the rate at which an object's speed or direction changes with respect to time. Acceleration is a vector quantity, meaning it has both magnitude and direction.
The SI unit for acceleration is meters per second squared (m/s2). It is also commonly expressed in feet per second squared (ft/s2). Acceleration can be positive, negative, or zero. Positive acceleration occurs when an object increases its speed, and negative acceleration when it decreases its speed. Zero acceleration occurs when an object's speed remains constant.
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Three forces are acting on the ring as shown in the figure. What is the magnitude and direction of the net force acting on the ring?
Answer:
The magnitude and direction of the net force acting on the ring is equal to the vector sum of the three forces acting on it. Based on the figure, the net force acting on the ring is equal to the vector sum of F1 minus F2 plus F3, and its magnitude is equal to the square root of (F1^2 + F3^2) minus (F2^2). The direction of the net force is the same as that of F1 minus F2 plus F3. This is because the three forces, F1, F2, and F3, all act concurrently and will add up to produce a single resultant, or net force.
