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Sphere A and B have the same mass and charge magnitudes. They are placed a distance r away from each other so that gravitational forces and electrostatic forces allow both spheres to be in equilibrium. What would occur if sphere A doubled in charge?
- a)Both spheres would move away from each other with the same force.
- b)Both spheres would move towards each other with increasing acceleration.
- c)Both spheres would move towards each other but sphere B will experience a greater force.
- d)Both spheres would move away from each other but sphere A will experience a greater force.
Correct answer is option 'A'. Can you explain this answer?
Most Upvoted Answer
Sphere A and Bhave the same mass and charge magnitudes. They are place...
Explanation:
Gravitational and Electrostatic Forces:
- In order for Sphere A and B to be in equilibrium, the gravitational force and electrostatic force between them should be equal and opposite.
Doubling Charge on Sphere A:
- When the charge on Sphere A is doubled, the electrostatic force between the two spheres will also double according to Coulomb's law.
Effect on Equilibrium:
- Since the mass and charge magnitudes of both spheres are the same, doubling the charge on Sphere A will not affect the gravitational force between them.
- As a result, both spheres will move away from each other with the same force to maintain equilibrium.
Therefore, the correct answer is option 'A' - Both spheres would move away from each other with the same force.
Gravitational and Electrostatic Forces:
- In order for Sphere A and B to be in equilibrium, the gravitational force and electrostatic force between them should be equal and opposite.
Doubling Charge on Sphere A:
- When the charge on Sphere A is doubled, the electrostatic force between the two spheres will also double according to Coulomb's law.
Effect on Equilibrium:
- Since the mass and charge magnitudes of both spheres are the same, doubling the charge on Sphere A will not affect the gravitational force between them.
- As a result, both spheres will move away from each other with the same force to maintain equilibrium.
Therefore, the correct answer is option 'A' - Both spheres would move away from each other with the same force.
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Community Answer
Sphere A and Bhave the same mass and charge magnitudes. They are place...
- In order for the two spheres to be in equilibrium, the forces on each sphere must cancel out. Drawing a free-body diagram will visually demonstrate the forces on each sphere.
- The gravitational force can only act to attract both spheres toward each other. Therefore the electrostatic force in this situation must repel the spheres away from each other.
- The formula for electrostatic force is
Doubling the charge of sphere A will double the repulsive electrostatic force but not change the attractive gravitational force measurably since the added charge would have such a small mass. - The electrostatic force experienced by each sphere is the same because the electrostatic force equally accounts for the source charge as well as the point charge in the determination of its magnitude. Therefore, the spheres will move away from each other with the same force.
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Sphere A and Bhave the same mass and charge magnitudes. They are placed a distance raway from each other so that gravitational forces and electrostatic forces allow both spheres to be in equilibrium. What would occur if sphereA doubled in charge?a)Both spheres would move away from each other with the same force.b)Both spheres would move towards each other with increasing acceleration.c)Both spheres would move towards each other but sphereB will experience a greater force.d)Both spheres would move away from each other but sphereA will experience a greater force.Correct answer is option 'A'. Can you explain this answer? for MCAT 2025 is part of MCAT preparation. The Question and answers have been prepared according to the MCAT exam syllabus. Information about Sphere A and Bhave the same mass and charge magnitudes. They are placed a distance raway from each other so that gravitational forces and electrostatic forces allow both spheres to be in equilibrium. What would occur if sphereA doubled in charge?a)Both spheres would move away from each other with the same force.b)Both spheres would move towards each other with increasing acceleration.c)Both spheres would move towards each other but sphereB will experience a greater force.d)Both spheres would move away from each other but sphereA will experience a greater force.Correct answer is option 'A'. Can you explain this answer? covers all topics & solutions for MCAT 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Sphere A and Bhave the same mass and charge magnitudes. They are placed a distance raway from each other so that gravitational forces and electrostatic forces allow both spheres to be in equilibrium. What would occur if sphereA doubled in charge?a)Both spheres would move away from each other with the same force.b)Both spheres would move towards each other with increasing acceleration.c)Both spheres would move towards each other but sphereB will experience a greater force.d)Both spheres would move away from each other but sphereA will experience a greater force.Correct answer is option 'A'. Can you explain this answer?.
Sphere A and Bhave the same mass and charge magnitudes. They are placed a distance raway from each other so that gravitational forces and electrostatic forces allow both spheres to be in equilibrium. What would occur if sphereA doubled in charge?a)Both spheres would move away from each other with the same force.b)Both spheres would move towards each other with increasing acceleration.c)Both spheres would move towards each other but sphereB will experience a greater force.d)Both spheres would move away from each other but sphereA will experience a greater force.Correct answer is option 'A'. Can you explain this answer? for MCAT 2025 is part of MCAT preparation. The Question and answers have been prepared according to the MCAT exam syllabus. Information about Sphere A and Bhave the same mass and charge magnitudes. They are placed a distance raway from each other so that gravitational forces and electrostatic forces allow both spheres to be in equilibrium. What would occur if sphereA doubled in charge?a)Both spheres would move away from each other with the same force.b)Both spheres would move towards each other with increasing acceleration.c)Both spheres would move towards each other but sphereB will experience a greater force.d)Both spheres would move away from each other but sphereA will experience a greater force.Correct answer is option 'A'. Can you explain this answer? covers all topics & solutions for MCAT 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Sphere A and Bhave the same mass and charge magnitudes. They are placed a distance raway from each other so that gravitational forces and electrostatic forces allow both spheres to be in equilibrium. What would occur if sphereA doubled in charge?a)Both spheres would move away from each other with the same force.b)Both spheres would move towards each other with increasing acceleration.c)Both spheres would move towards each other but sphereB will experience a greater force.d)Both spheres would move away from each other but sphereA will experience a greater force.Correct answer is option 'A'. Can you explain this answer?.
Solutions for Sphere A and Bhave the same mass and charge magnitudes. They are placed a distance raway from each other so that gravitational forces and electrostatic forces allow both spheres to be in equilibrium. What would occur if sphereA doubled in charge?a)Both spheres would move away from each other with the same force.b)Both spheres would move towards each other with increasing acceleration.c)Both spheres would move towards each other but sphereB will experience a greater force.d)Both spheres would move away from each other but sphereA will experience a greater force.Correct answer is option 'A'. Can you explain this answer? in English & in Hindi are available as part of our courses for MCAT.
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