(a) For one-dimensional motion of a particle of mass m acted upon by a force F(x), obtain the formal solution to the trajectory (t) in the inverse form t(x)=√√√ where V(x) is the potential energy and ro is the position at t = 0. (b) Use (1) to obtain the trajectory if F is a constant. m 2 {E-V (x)} dx, (1)
(a) For one-dimensional motion of a particle of mass m acted upon by a force F(x), obtain the formal solution to the trajectory (t) in the inverse form t(x)=√√√ where V(x) is the potential energy and ro is the position at t = 0. (b) Use (1) to obtain the trajectory if F is a constant. m 2 {E-V (x)} dx, (1)
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Transcribed Image Text:(a) For one-dimensional motion of a particle of mass m acted upon by a force F(x),
obtain the formal solution to the trajectory (t) in the inverse form
t(a) = √√√
m
2 {E - V (x)}
dx,
where V(r) is the potential energy and ro is the position at t = 0.
(b) Use (1) to obtain the trajectory if F is a constant.
(1)
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