4. According to Yakawa's theory of nuclear forces, the attractive force between two nucleons has a potential of the form Ke ar V(r) : K< 0, a > 0 a. Find the force. b. Discuss the types of motion that are possible for mass m under such a force. c. Find the angular momentum L and total energy E for motion on a circle of radius a.

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4.
According to Yakawa's theory of nuclear forces, the attractive force between two
nucleons has a potential of the form
Ke-ar
V(*) ='
K< 0, a > 0
a. Find the force.
b. Discuss the types of motion that are possible for mass m under such a force.
c. Find the angular momentum L and total energy E for motion on a circle of
radius a.
d. Find the period of circular motion and the period of small radial oscillations.
Transcribed Image Text:4. According to Yakawa's theory of nuclear forces, the attractive force between two nucleons has a potential of the form Ke-ar V(*) =' K< 0, a > 0 a. Find the force. b. Discuss the types of motion that are possible for mass m under such a force. c. Find the angular momentum L and total energy E for motion on a circle of radius a. d. Find the period of circular motion and the period of small radial oscillations.
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