Marty and Jennifer's twin granddaughters, Emma and Clara, arepreternaturally talented at riding hoverboards. One fine day, theyoung twins, each riding her own hoverboard, are cruising acrossthe hoverpark arm-in-arm. The mass of each twin is27.50Â Â kg kg (the mass of each skater includes the massof her hoverboard). Suddenly, Clara spots an obstacle ahead; tosave them both from collision with the obstacle, she gives Emma atwo-handed horizontal push. As a result, Emma ends up traveling at2.50Â Â m/s m/s , due North, and Clara end up traveling at5.10Â Â m/s m/s , 31.0Â Â degrees degrees North ofEast.
Part A) What was the original speed of Emma and Clara when theywere traveling arm-in-arm?
Part B) In what direction were Emma and Clara originallytraveling?
Give your answer as an angle in degrees measured CCW from dueEast (when looking Down); the size of the angle should be less than180 degrees. If the angle would be larger than 180 degrees, insteadmeasure CW from due East and give your answer as a negativeangle.
Part C) How much kinetic energy was added to the Emma-Clarasystem by Clara's push?
