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](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fe7a0405e-57ae-426f-845b-780e69b82c39%2Ffd0a3d67-6704-4469-adfd-2ccc02533c8a%2Fuf4h5bg_processed.jpeg&w=3840&q=75)
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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