Question

1. A firework (small rocket) whose shell has a mass of m 12kg was initially on the ground before being launched to a height of 100m above the ground at which point its horizontal displacement from its starting position is 17.6m. At this location its speed is 68m/s and it's at an angle relative to (and above) the horizontal of 80 as depicted in the diagram below. Once it reaches this height it goes off and its shell splits into two pieces. One of these pieces has a mass of mı-5.6kg and leaves this "collision" with a speed of 72m/s at an angle relative to (and above) the horizontal of 73°. 68m 80 00,m (a) (10 points) What is the speed and direction of the second piece (m2) just after the "collision" (which is really more of an explosion)? This "collision" occurs over such a short period of time that the effect of external forces (like gravity) is negligible during the "collision." (b) (10 points) After the "collision" the only force that acts on either piece is the force due to gravity. Using an analysis of projectile motion determine how far mı lands (on the ground) from the firework's starting position. (c) (10 points) Knowing that had the shell remained intact and not split apart it would have landed 198m from the firework's starting position and that when systems undergo these types of "collisions" during projectile motion the center of mass of the system follows the trajectory that the original object would have followed had it remained intact, determine how far m2 lands fronm the firework's starting position without using an analysis of projectile motion (essentially without just repeating the same types of calculations you did in (b))

Answer 1

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