Force & Potential Energy Video Lessons

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Problem:  is the potential-energy diagram for a 20 g particle that is released from rest at x = 1.0  m.a. What is the particles maximum speed? At what position does it have this speed?b. Where are the turning points of the motion?c. Will the particle move to the right or to the left?

FREE Expert Solution

Kinetic energy is found from the formula:

K=12mv2

a.

The maximum speed of the particle is found when the potential energy, U is minimum. 

Potential energy, U is minimum at  x = 4m where U = 1 J

Applying the law of conservation of energy between points 4 and 1,

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Problem Details

The graph shows potential energy as a function of distance. Distance is measured from 0 to 7 meters on the x-axis. Potential energy is measured from 0 to 6 joules on the y-axis. Potential energy smoothly drops at the distance interval from 0 to 4 meters and smoothly rises at the interval from 4 to 7 meters. Several points can be distinguished unequivocally: 4 joules at 1 meter; 1 joule at 4 meters; 4 joules at 6 meters. is the potential-energy diagram for a 20 g particle that is released from rest at x = 1.0  m.

a. What is the particles maximum speed? At what position does it have this speed?

b. Where are the turning points of the motion?

c. Will the particle move to the right or to the left?

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