A new design of Saturn 15 rocket with mass 1.23 x106 kg has a propulsion engine that can eject gases at a constant speed of 293.85 m/s (vGas) by burning fuel at a rate of 3.87  x10 5  kg/s (dmdT). In full tank, the rocket can carry a fuel of mass 49.03  x10 6  kg. If this design exceeds the velocity of 11,200 m/s it can successfully escape Earth's gravity. Determine if this is so. Find its maximum velocity (velyZ) in a PhysLab virtual simulation. (Pitch Angle = 0)

A rocket has total mass Mi = 360 kg, including Mfuel = 330 kg of fuel and oxidizer. In interstellar space, it starts from rest at the position x = 0, turns on its engine at time t = 0, and puts out exhaust with relative speed ve = 1 500 m/s at the constant rate k = 2.50 kg/s. The fuel will last for a burn time of Tb = Mfuel/k = 330 kg/(2.5 kg/s) = 132 s. (a) Show that during the burn the velocity of the rocket as a function of time is given by v(t)=veln(1ktMi) (b) Make a graph of the velocity of the rocket as a function of time for times running from 0 to 132 s. (c) Show that the acceleration of the rocket is a(t)=kveMikt (d) Graph the acceleration as a function of time. (c) Show that the position of the rocket is x(t)=ve(Mikt)ln(1ktMi)+vet (f) Graph the position during the burn as a function of time.

A 2000-kg railway freight car coasts at 4.4 m/s underneath a grain terminal, which dumps grain directly down into the freight car. If the speed of the loaded freight car must not go below 3.0 m/s, what is the maximum mass of grain that it can accept?

NASAs Saturn V rockets that launched astronauts to the moon were powered by the strongest rocket engine ever developed, providing 6.77 106 N of thrust while burning fuel at a rate of 2.63 103 kg/s. Calculate the engines exhaust speed.

(COLLAB) A new design of Saturn 15 rocket with mass 1.55 x106 kg has a propulsion engine that can eject gases at a constant speed of 366.1 m/s (vGas) by burning fuel at a rate of 4.67  x10 5  kg/s (dmdT). In full tank, the rocket can carry a fuel of mass 41.42  x10 6  kg. If this design exceeds the velocity of 11,200 m/s it can successfully escape Earth's gravity. Determine if this is so. Find its maximum velocity (velyZ) in a PhysLab virtual simulation. (Pitch Angle = 0)