Question
Question: A particle which is constrained to move along the x-axis, is subjected to a force in the same direct...
A particle which is constrained to move along the x-axis, is subjected to a force in the same direction which varies with the distance x of the particle from the origin as F(x) = -kx + ax3. Here k and a are positive constants. For x ≥0, the functional form of the potential energy U(x) of the particle is
A
B
C
D
Answer
Explanation
Solution
Using F = - 
we get
U = 
U = 0 for x = 0
and x = 
Which is satisfied by graph (4).