Hello I need with the following problems please and thank you. # 57,28,,32, 41

57. A 200-kg rocket in deep space moves with a velocity of (121 m/s) i + (38.0 m/s) j. Suddenly, it explodes into three pieces, with the first (78 kg) moving at - (321 m/s) i + (228 m/s) j and the second (56 kg) moving at (16.0 m/s) i - (88.0 m/s) j. Find the velocity of the third piece. 28. Calculate the final speed of a 110-kg rugby player who is initially running at 8.00 m/s but collides head-on with a padded goalpost and experiences a backward ( 1.76 x 10* N for 5.50 x 10 2 s. 41. Two figure skaters are coasting in the same direction, with the leading skater moving at 5.5 m/s and the trailing skating moving at 6.2 m/s. When the trailing skater catches up with the leading skater, he picks her up without applying any horizontal forces on his skates. If the trailing skater is 50% heavier than the 50-kg leading skater, what is their speed after he picks her up? 32. The x-component of a force on a 46-g golf ball by a 7-iron versus time is plotted in the following figure: F.(N)A 30 - 50 100 (msec) a. Find the x-component of the impulse during the intervals i. [0, 50 ms], and li. (50 ms, 100 ms] b. Find the change in the x-component of the momentum during the intervals lil. [0, 50 ms], and iv. (50 ms, 100 ms] s: On WX Accessibility: Investigate