Two charged spheres are sitting 1m apart. The left sphere has a charge of 2 C, the
right has a charge of -3C. What is the force between the spheres?
Answers
The force between the charged spheres is -5.4 x 10¹⁰ N.
option D.
What is the force between the two charges?The force between two charged spheres can be calculated using Coulomb's law, which states that the force between two point charges is proportional to the product of their charges and inversely proportional to the square of the distance between them.
The formula for Coulomb's law is:
F = kq1q2/d^2
where;
F is the force between the charges, q1 and q2 are the charges of the two spheres, d is the distance between them, and k is the Coulomb constant.The value of the Coulomb constant is 8.98755 × 10^9 N·m^2/C^2.
Plugging in the values given in the problem, we get:
F = (8.98755 × 10^9) * (2 C) * (-3 C) / (1 m)^2
Simplifying this expression gives:
F ≈ -5.4 x 10¹⁰
Therefore, the force between the spheres is -5.4 x 10¹⁰ N, which means that the spheres are being pulled towards each other. The negative sign indicates that the force is attractive due to the opposite charges on the spheres.
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Related Questions
A 23-in. Vertical rod cd is welded to the midpoint c of the 50-in. Rod ab. Determine the moment about ab of the 180-lb force q
Answers
The moment about ab of the 180-lb force q is 13,860 lb-in.
How to determine moment?To determine the moment about AB of the 180-lb force Q, we need to find the perpendicular distance between the line of action of the force and point A, and then multiply this distance by the magnitude of the force. This perpendicular distance is called the moment arm.
First, find the coordinates of point C. Since the vertical rod CD is welded to the midpoint C of the rod AB, use the midpoint formula:
x_C = (x_A + x_B)/2
y_C = (y_A + y_B)/2
where (x_A, y_A) and (x_B, y_B) are the coordinates of points A and B, respectively. Plugging in the values:
x_C = (0 + 50)/2 = 25 in.
y_C = (0 + 23)/2 = 11.5 in.
So point C has coordinates (25, 11.5).
Next, find the moment arm. To do this, draw a line through point C perpendicular to AB, and extend it until it intersects the line of action of the force Q. Call the point of intersection point D. Use similar triangles to find the distance from A to D.
The triangle ACD is similar to triangle ABC, since CD is perpendicular to AB and AC is the altitude to AB. Thus:
AC/AB = CD/BC
Solving for BC:
BC = (AB)(CD)/AC = (50 in.)(23 in.)/(11.5 in.) = 100 in.
Therefore, the distance from A to D is 100 - 23 = 77 in.
Finally, calculate the moment about AB by multiplying the magnitude of the force by the moment arm:
M_AB = Qd = (180 lb)(77 in.) = 13860 lb-in.
Therefore, the moment about AB of the 180-lb force Q is 13,860 lb-in.
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A roller couster turns in a circular path that has a radius of 25 meters, what's the fastest Velocity the roller coaster can travel without exceeding a centripetal acceleration of 16m/s^2
Answers
The fastest velocity that the roller coaster can travel without exceeding a centripetal acceleration of 16 m/s^2 is 20 m/s.
What is velocity ?
Velocity can be defined as the displacement of the object in unit time.
The centripetal acceleration (ac) of an object moving in a circular path with radius (r) and velocity (v) is given by the formula:
ac = v^2 / r
We want to find the maximum velocity (v) that the roller coaster can travel without exceeding a centripetal acceleration of 16 m/s^2, given that the radius of the circular path is 25 meters. We can rearrange the formula to solve for v:
v^2 = ac * r
v = sqrt(ac * r)
Substituting the given values, we get:
v = sqrt(16 m/s^2 * 25 m) = sqrt(400 m^2/s^2) = 20 m/s
Therefore, the fastest velocity that the roller coaster can travel without exceeding a centripetal acceleration of 16 m/s^2 is 20 m/s.
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A car on a freeway ramp starts at a velocity of 12.0 m/s. If its average acceleration over 8 s is 3.20 m/s2, what is the velocity at the end of that interval?
A. 13.6 m/s
B. 99.2 m/s
C.25.6 m/s
D. 37.6 m/s
Answers
Answer: D. 37.6 m/s
Explanation: its D
Which is not a general adaptation?
OA. Camouflage.
OB. Legs for walking.
OC. Wings for flying.
D. Streamlined shape to reduce friction.
Answers
Camouflage is not a general adaptation.
What is adaptation?Adaptation refers to the evolutionary process through which organisms develop certain traits or characteristics that allow them to survive and reproduce in their environment. These traits can be physical, behavioral, or physiological and are shaped by natural selection.
Adaptations can be both structural, such as the long neck of a giraffe, or functional, such as the ability of some plants to tolerate drought conditions. They can also be behavioral, such as the way in which some birds build their nests, or physiological, such as the ability of some animals to regulate their body temperature in extreme environments.
Camouflage is a specific adaptation. It refers to an animal's ability to change the color or pattern of its body to blend in with its environment. It does not have the same universal application as other general adaptations, such as streamlined shapes to reduce friction or legs for walking.
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What is the resistance of resistor R1?
(1 point)
3.00 Ω
200 Ω
7.50 Ω
5.00 Ω
Answers
Answer: The answer is 3.00 Ω
Explanation:you join R1 up with R2.
What is the problem with changing the force in the rubber band and the mass of the tub at the same time?
Answers
Changing the force in the rubber band and the mass of the tub at the same time can make it difficult to determine the effect of each variable on the motion of the tub.
What leads to changing forces?Changes in the mass of an object: If the mass of an object changes, the force required to move it will also change accordingly. This is due to the fact that force is directly proportional to mass.
Changes in the speed or velocity of an object: This is because the kinetic energy of the object increases with an increase in speed, which requires more force to be applied to maintain the same rate of acceleration.
This is because the change in one variable may mask the effect of the other variable. Therefore, it is best to change only one variable at a time and keep all other variables constant in order to accurately observe and measure the effect of each variable on the system.
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Explain how the diffraction of light shows that light behaves like a wave.
Use key terms: Point source, circular wave pattern, and overlapping waves.
Answers
The way that light refracts is the same as how a wave would refract. The way that light diffracts is the same as how a wave would. Similar to how interference occurs in waves, it also occurs in light.
What evidence does light's diffraction provide that it behaves like a wave?Light will shift directions as it travels from one medium, like the air, to another, like the ocean. Light behaves in a similar manner to other waves, like sound waves.
How does the phenomenon of diffraction affect how light behaves as a wave?The bending and spreading of waves around a barrier is known as diffraction. Because you can bend and block out specific light waves, it has to do with how light behaves as a wave.
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If someone is holding a briefcase normally, would the be doing any work when they lift it up to their shoulders?
Answers
Answer:
y
Explanation:
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