Marty and Jennifer's twin granddaughters, Emma and Clara, are preternaturally talented at riding hoverboards. One fine day, the young twins, each riding her own hoverboard, are cruising across the hoverpark arm-in-arm. The mass of each twin is 18.50 kg (the mass of each skater includes the mass of her hoverboard). Suddenly, Clara spots an obstacle ahead; to save them both from collision with the obstacle, she gives Emma a two-handed horizontal push. As a result, Emma ends up traveling at 1.90 m/s , due North, and Clara ends up traveling at 2.10 m/s , 33.0 degrees North of East. Part A) What was the original speed of Emma and Clara when they were traveling arm-in-arm?
Part B) In what direction were Emma and Clara originally traveling?
Give your answer as an angle in degrees measured CCW from due East (when looking Down); the size of the angle should be less than 180 degrees. If the angle would be larger than 180 degrees, instead measure CW from due East and give your answer as a negative angle.
Part C) How much kinetic energy was added to the Emma-Clara system by Clara's push?