I don\'t even know where to begin.... Two skaters are skating together over hori

Question

I don't even know where to begin.... Two skaters are skating together over horizontal, frictionless ice, and then they push each other apart. At the moment when they lose contact with one another, skater A (mA = 85.0 kg) is moving west at 4.0 m/s, and skater B (mB = 53.0 kg) is moving south at 6.00 m/s. At what velocity were they skating together before parting? (ii) A firecracker resting on a level street explodes into three pieces of equal mass. Immediately after the explosion, the first piece is moving north at 125 m/s, and the second piece is moving east at 75.0 m/sec. What is the velocity of the third piece immediately after the explosion? ??(iii) A projectile of mass m is fired from the ground with an initial speed vi at an angle of q above the horizontal. At the highest point of its arc, it explodes into three pieces, A, B and C, all of equal mass. Immediately after the explosion, pieces A and B are still moving with the same speed as the whole projectile had right before the explosion. However, A is moving vertically downward, and B is moving horizontally forward (i.e. in the same direction as the projectile prior to its explosion). Find the velocity of C right after the explosion. (iv) An old firework shell is hanging at rest by a thread at a height H above level ground. It explodes into three pieces, with masses mA, mB and mC, respectively. Initially, piece A moves horizontally toward the west at speed vA. Initially, piece B moves vertically upward at speed vB. (Ignore air resistance, assume constant free-fall acceleration g, and disregard any possible interference by the thread.) a. In what order do the pieces land on the level ground below? Explain how you know. b. How much time elapses between the first and last impacts? Explain/show your reasoning. c. What is the largest distance between any two of the three impact points? Explain/show your reasoning.

Explanation / Answer

i) (85+53)*u = 85*4 + 53*6 = 658

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