An empty spacecraft weighs 250,000 N on earth and carries 700,000 N of propellant. The spacecraftlands on Mercury, where the acceleration due to gravity is 3.7 m/s2. If the craft used 2/3 of its fuelmass to get to Mercury, how much thrust (in Newtons) will be required to lift-off from the planetif the minimum thrust is equal to the spacecraft weight?

Identify the correct relation showing that the radius r of the orbit of a moon of a given planet can be determined from the radius r of the planet, the acceleration of gravity at the surface of the planet, and the time τ required by the moon to complete one full revolution about the planet. determine the acceleration of gravity at the surface of the planet jupiter knowing that r = 71 492 km and that t= 3.551 days and r= 670.9 × 10^3 km for its moon europa.

Aparticle's position is given by x = 3.00 - 9.00t + 3t2, in which x is in meters and t is in seconds. (a) what is its velocity at t = 1 s? (b) is it moving in the positive or negative direction of x just then? (c) what is its speed just then? (d) is the speed increasing or decreasing just then? (try answering the next two questions without further calculation.) (e) is there ever an instant when the velocity is zero? if so, give the time t; if not, answer "0". (f) is there a time after t = 3 s when the particle is moving in the negative direction of x? if so, give the time t; if not, answer "0".

By what factor does the drag force on a car increase as it goes from 65 to 110 km/h?