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Home » Given in Figure, are examples of some potential energy functions in one dimension. The total energy of the particle is indicated by a cross on the ordinate axis. In each case, specify the regions, if any, in which the particle cannot be found for the given energy. Also, indicate the minimum total energy the particle must have in each case. Think of simple physical contexts for which these potential energy shapes are relevant.
Given in Figure, are examples of some potential energy functions in one dimension. The total energy of the particle is indicated by a cross on the ordinate axis. In each case, specify the regions, if any, in which the particle cannot be found for the given energy. Also, indicate the minimum total energy the particle must have in each case. Think of simple physical contexts for which these potential energy shapes are relevant.
CBSE | Class 11 | NCERT | Physics | Work, Energy, and Power
Given in Figure, are examples of some potential energy functions in one dimension. The total energy of the particle is indicated by a cross on the ordinate axis. In each case, specify the regions, if any, in which the particle cannot be found for the given energy. Also, indicate the minimum total energy the particle must have in each case. Think of simple physical contexts for which these potential energy shapes are relevant.

The total energy is given by the relation,

E=K . E .+P . E.

So,

K_{. E}=E-P . E .

There can never be a negative amount of kinetic energy. In the region where K.E. becomes negative, the particle cannot exist.

(a) Potential energy is zero between the points x=0 and x=a. As a result, kinetic energy is a positive quantity. Because x>a, the potential energy is higher than E. As a result, kinetic energy is zero. As a result, the particle will not exist in the x>a region.

The minimum total energy that the particle can have in this case is zero.

(b) The object’s kinetic energy would be negative along the entire x-axis, P.E. >E. As a result, the particle will not be found in this area.

i

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