Question

A small space probe of mass 180 kg is launched from a spacecraft near Mars. It travels toward the surface of Mars, where it will eventually land. At a time 22.6 seconds after it is launched, the probe is at location <4000, 8700, 0> m, and at this same instant its momentum is <50000, -7400, 0> kg·m/s. At this instant, the net force on the probe due to the gravitational pull of Mars plus the air resistance acting on the probe is <-4700, -700, 0> N. Assuming that the net force on the probe is approximately constant during this time interval, what is the change of the momentum of the probe in the time interval from 22.6 seconds after the probe is launched to 22.9 seconds after the launch? Use the approximation v→avg≈p→f/m . Δp→= < , , > kg·m/s What is the momentum of the probe at time 22.9 seconds after launch? p→f= < , , > kg·m/s Assuming that the force is nearly constant during the time interval from 22.6 seconds after the probe is launched to 22.9 seconds after the launch, so that the velocity is changing at a constant rate, what is the change of the position of the probe during this time interval? Δ⁢r→= < , , > m What is the location of the probe 22.9 seconds after launch? r→f= < , , > m

Answer 1