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Given below is the plot of a potential energy function U(x) for a system, in which a particle is in one dimensional motion, while a conservative force F(x) acts on it. Suppose that Emech = 8 J, the incorrect statement for this system is:
  • a)
    At x < x1, K.E. is smallest and the particle is moving at the slowed speed.
  • b)
    At x = x2, K.E. is greatest and the particle is moving at the fastest speed.
  • c)
    At x = x3, K.E. = 4 J. 
  • d)
    At x > x4, K.E. is constant throughout the region.
Correct answer is option 'A'. Can you explain this answer?
Verified Answer
Given below is the plot of a potential energy function U(x) for a syst...
Emech. = 8 J
(A) At x < x1, U = constant = 8 J
K = Emech - U = 8 - 8 = 0 J
The particle is at rest.
(B) At x = x2, U = 0 ⇒ Emech. = K = 8 J
K.E. is greatest and the particle is moving at fastest speed.
(C) At x = x3, U = 4 J
U + K = 8 J
K = 4 J
Hence the incorrect statement is : at x < x1, K.E is smallest and the particle is moving at the slowest speed.
(D) At x > x4, U = constant = 6 J
K = Emech. - U = 2 J = constant
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Given below is the plot of a potential energy function U(x) for a system, in which a particle is in one dimensional motion, while a conservative force F(x) acts on it. Suppose that Emech = 8 J, the incorrect statement for this system is:a)At x < x1, K.E. is smallest and the particle is moving at the slowed speed.b)At x = x2, K.E. is greatest and the particle is moving at the fastest speed.c)At x = x3, K.E. = 4 J.d)At x > x4, K.E. is constant throughout the region.Correct answer is option 'A'. Can you explain this answer?
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