A particle slides back and forth on a frictionless track whoseheight as a function of horizontal position x is given by y=ax2,where a = 0.81 m−1 .If the particle's maximum speed is 8.4 m/s ,find the turning points of its motion. (x1,x2) in m
Determine the escape speed from (a) Jupiter's moon Callisto,with mass 1.07×1023kg and radius 2.40 Mm, and (b) a neutron star,with the Sun's mass crammed into a sphere of radius 5.60 km .