A pulley device is used to hurl projectiles from a ramp (y = 0.26) as illustrated in the
diagram. The 5.0-kg mass is accelerated from rest at the bottom of the 4.0 m long ramp by a falling 20.0-kg mass suspended over a frictionless pulley. Just as the 5.0-kg mass reaches the top of the ramp, it detaches from the rope (neglect the mass of the rope) and becomes projected from the ramp.
(a) Using the appropriate FBDs and the correct methodology, find the acceleration of the 5.0-kg mass along the ramp, and also calculate the tension on the rope connecting the two masses.
(b) Using the appropriate kinematic equations, determine the launching speed of the 5.0-kg mass (the speed it has at the top of the ramp - assume its initial speed is zero), and
(c) the horizontal distance (range) which the 5.0-kg projectile will achieve after leaving the ramp,
and
(d) the time of flight of the projectile, and
(e) the impact velocity of the projectile when it hits the ground.