Question

VFX A soccer ball player bounces the ball off her head, changing the velocity of the ball. She changes the x-component of the velocity of the ball from v Vix = 9.6 m/s to 6.3 m/s and the y-component from vi Viy -1.5 m/s to Vfy = 4.4 m/s. If the ball has a mass of 0.45 kg and is in contact with the player's head for 7.1 ms, determine the following. = (a) direction of the impulse (in degrees counterclockwise from the +x-axis) delivered to the ball º counterclockwise from the +x-axis (b) magnitude of the impulse (in kg: m/s) delivered to the ball kg · m/s

Answer 1

Via= 9.6m/s vka 6.3 m/s -1.5 mis vry = 4.4 m/s mans of ball a 0.4519 At= 7lms a2 change in momentum Initial momentum in x-direction mf vfur vin = 0.45 [ 6.3 - 9:(] í - 1,485 Change in momentum in 'y' diration =) mp vry- vig] 0.45 4.4 4.4 -(-18 i 2-6551 MW Fsta fra mov at MAV

Fr= x-Component of impulse (mova at -1.485 ? x 103 =-20 g. is a fy= y component of impulse fora mov) 11 at 3 2,655 J x 10 373.94 1) Kamil = 71 Now Fnet Vfx²+ Fyz (209. 15677 (373.99) ² Futa 428.46 Agm O= tant -60.78 373.94 2070159 = K - 60.78 = 119.21 o Tal