= H2. A particle of mass m is acted on by an attractive central force f(r) = m2 with respect to the origin O, where a is
Posted: Mon May 09, 2022 1:34 pm
= H2. A particle of mass m is acted on by an attractive central force f(r) = m2 with respect to the origin O, where a is a positive constant. The particle is projected with initial speed vo > 0 from a point at distance a > 0 from O and making an angle a = 7 with the radius vector. (1) Give the condition on vo to ensure that the orbit of the particle is a hyperbola. (2) Suppose that vo = ŠV22. Find the value of the total energy Eo and deduce the nature of the orbit. Find the value of the angular momentum Lo. Calculate the value of the eccentricity e of the orbit. a