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Problem 6: Suppose your friend claims to have discovered a mysterious force in nature that acts on all particles in some region of space. He tells you hat the force is always pointed away a definite point in space, which we can call the force center. The magnitude of the force turns out to be proportional to Bir, where r is the distance from the force center to any other point. Your friend says that it has been determined that the constant of proportionality has been letermined to be B-17 (in units to be determined later), so that the magnitude of the force on a particle (in newtons) can be written as 17/³, when the marticle is at a distance from the force center. Part (a) Write an expression for the potential energy Up of a particle when it is at a distance D from the force center, in terms of B and D, where B the constant of proportionality. Assume the potential energy to be zero when the particle is at infinity. Up-B(2D) X Attempts Remain Feedback: Your answer was off by a factor of 1/2. Please check your calculations. (b) If D is measured in meters, then what must the units be for the proportionality constant in order that the energy be in joules? [B]-kg m ✔Correct! rt (c) If the particle is a distance 0.92 m from the force center, then what is the potential energy, in joules, of that particle? PE 1.6928

Problem 6: Suppose your friend claims to have discovered a mysterious force in nature that acts on all particles in some region of space. He tells you hat the force is always pointed away a definite point in space, which we can call the force center. The magnitude of the force turns out to be proportional to Bir, where r is the distance from the force center to any other point. Your friend says that it has been determined that the constant of proportionality has been letermined to be B-17 (in units to be determined later), so that the magnitude of the force on a particle (in newtons) can be written as 17/³, when the marticle is at a distance from the force center. Part (a) Write an expression for the potential energy Up of a particle when it is at a distance D from the force center, in terms of B and D, where B the constant of proportionality. Assume the potential energy to be zero when the particle is at infinity. Up-B(2D) X Attempts Remain Feedback: Your answer was off by a factor of 1/2. Please check your calculations. (b) If D is measured in meters, then what must the units be for the proportionality constant in order that the energy be in joules? [B]-kg m ✔Correct! rt (c) If the particle is a distance 0.92 m from the force center, then what is the potential energy, in joules, of that particle? PE 1.6928

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kal Problem 6: Suppose your friend claims to have discovered a mysterious force in nature that acts on all particles in some region of space. He tells you that the force is always pointed away a definite point in space, which we can call the force center. The magnitude of the force turns out to be proportional to Bir, where r is the distance from the force center to any other point. Your friend says that it has been determined that the constant of proportionality has been determined to be B-17 (in units to be determined later), so that the magnitude of the force on a particle (in newtons) can be written as 17/r³, when the particle is at a distance r from the force center. Part (a) Write an expression for the potential energy Up of a particle when it is at a distance D from the force center, in terms of B and D, where B is the constant of proportionality. Assume the potential energy to be zero when the particle is at infinity. Feedback: Your answer was off by a factor of 1/2. Please check your calculations. Up-B(2D) X Attempts Remain (b) If D is measured in meters, then what must the units be for the proportionality constant in order that the energy be in joules? [B] kg m ✔Correct! rt (c) If the particle is a distance 0.92 m from the force center, then what is the potential energy, in joules, of that particle? PE 1.6928
Transcribed Image Text:kal Problem 6: Suppose your friend claims to have discovered a mysterious force in nature that acts on all particles in some region of space. He tells you that the force is always pointed away a definite point in space, which we can call the force center. The magnitude of the force turns out to be proportional to Bir, where r is the distance from the force center to any other point. Your friend says that it has been determined that the constant of proportionality has been determined to be B-17 (in units to be determined later), so that the magnitude of the force on a particle (in newtons) can be written as 17/r³, when the particle is at a distance r from the force center. Part (a) Write an expression for the potential energy Up of a particle when it is at a distance D from the force center, in terms of B and D, where B is the constant of proportionality. Assume the potential energy to be zero when the particle is at infinity. Feedback: Your answer was off by a factor of 1/2. Please check your calculations. Up-B(2D) X Attempts Remain (b) If D is measured in meters, then what must the units be for the proportionality constant in order that the energy be in joules? [B] kg m ✔Correct! rt (c) If the particle is a distance 0.92 m from the force center, then what is the potential energy, in joules, of that particle? PE 1.6928
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