A 500 kg rocket sled is sitting at rest at the bottom of a r…

A 500 kg rocket sled is sitting at rest at the bottom of a ramp (i.e., ground level, y = 0 m).  It has just enough fuel to accelerate along the length of the ramp.  The sled is propelled along a 25 m long ramp of angle θ = 30˚ with a constant acceleration.   When it leaves the ramp, the engine cuts off and it has a speed of 948.7 m/s. Once the sled leaves the ramp, it travels as a projectile through the air.   a) Find the height of the ramp. height = [rampheight] b) Find the velocity vector of the sled at the instant it leave the ramp.  Give the velocity in terms of the x- and y- coordinate system shown. v = [xcomponent] + [ycomponent]   c) What is the thrust provided by the rocket engine? Thrust = [thrustforce] d) What is the total time the sled is in the air? Time of Flight = [flighttime] e) When the sled lands, how far has it traveled horizontally from the end of the ramp? xdistance = [horizontaldistance]

To boxes are arranged as shown in the figure below.  Box 1 h…

To boxes are arranged as shown in the figure below.  Box 1 has a mass of 7 kg and box 2 has a mass of 5 kg.  The string connecting the two boxes passes of the edge of a 0.5 kg solid pulley with a radius of 7 cm.  The coefficient of friction on the incline is 0.15.  Determine the magnitude of the acceleration of the masses.   a = [acceleration] m/s2