Question

Consider a two-dimensional region (say, the x − y plane), in which a particle (mass m)

experiences a force-field, characterised by potential energy

U(r) = −U0 |r| ≤ a

U(r) = 0 |r| > a (1)

where U0 > 0 and r = xˆi + y

ˆj (see Fig. 2). 2 The particle approaches the well from x = ∞

with velocity −v0

ˆi (v0 > 0), energy E = mv2

0

/2 and angular momentum L = ` kˆ, where

` > 0.

3​

Answer 1

Explanation:

Consider a two-dimensional region (say, the x − y plane), ... a particle ( mass m) experiences a force-field, characterised ...