Problem 7 Droneplosion IID + Clayission 2 (a) A drone with mass m is flying at speed vo (in the positive direction direction) when it suddenly explodes into three pieces. One piece with mass m, is immediately traveling in the opposite direction with speed and a second piece of mass m is traveling upwards (postive ŷ direction) with speed 12 2. What is the direction and speed of the third piece? (b) Three pieces of clay have the velocities and masses shown where 0-30°. If they all collide and stick together, what is the resultant and ŷ components of the velocity? 4m 400 3003m 200 2m

In a head-on, inelastic collision, a 4,000-kg truck going 10 m/s east strikes a 1,000-kg car going 20 m/s west. (a) What is the speed and direction of the wreckage? (b) How much kinetic energy was lost in the Collision?

The figure below shows a bullet of mass 200 g traveling horizontally towards the east with speed 400 m/s, which strikes a block of mass 1.5 kg that is initially at rest on a frictionless table. After striking the block, the bullet is embedded in the block and the block and the bullet move together as one unit. a. What is the magnitude and direction of the velocity of the block/bullet combination immediately after the impact? b. What is the magnitude and direction of the impulse by the block on the bullet? c. What is the magnitude and direction of the impulse from the bullet on the block? d. If it took 3 ms for the bullet to change the speed from 400 m/s to the final speed after impact, what is the average force between the block and the bullet during this time?

(a) At what speed would a 2.00104 -kg airplane have to fly to have a momentum of 1.60109kgm/s (the same as the ship's momentum in the problem above)? (b) What is the plane's momentum when it is taking off at a speed of 60.0 m/s? (c) If the ship is an aircraft carrier that launches these airplanes with a catapult, discuss the implications of your answer to (b) as it relates to recoil effects of the catapult on the ship.