Please solve these 3 question. Thank you!

5/ - Santa had too much hot cocoa and now has an upset stomach! He 'passes wind' while forgetting that he is standing at the bottom of a lit fireplace! There is an explosion that sends Santa upwards out the chimney with an initial velocity of 3.00 km/s straight up! If Santa's suit is immune to air resistance (!), determine how high he will rise above the surface of the Earth. (answer in km) Ic will supply Fg , energy is cousered The tooks car is making at Imis and 2,oks car is moving at fmis. DEK = GMm SANTA GOING ME = 5.98 x 1024 kg rotsh TE = 6.36 x 106 m INTO ORBITO! ? EmV z GMm 1 1 6.6 7 x 10" ) ( 5. 98 * 1024 ) rotch 3 000 2 [4]-KU MV 2 - 6:36 *16 6 GM m N otch = 3 . 8 xlot km rotsh - GMM sh - GM V 2 - ro SODate : Name : Jan Tsui Bored during the school closure, you rigged-up a small-scale 'Wall of Death' in your basement! You noticed that when your favourite remote control car is traveling until he ca at 20. m/s, it can remain 'stationary', (ie not slip/skid) on a vertical section of wall near the top. If the diameter of your 'Wall of Death' is 2.4 m, determine the coefficient of nstance static friction between the wall and the tires of your car. FEs In has rf The (fis ) and Fgsino supply FC and FN he pant Fgcoso balance FN is rock E a near Fgsin 8 + Ffs = Fc mosin Q + MS FN = muz 15]- TI mgsin + Matgood = mv? 4 ac Fg 20 MS = 1.2 - 9.8 singo my sino + Msig coso 9.8 cos 90" SETno + Megaso - vz norica - gsino 3 cos 8 6/ - Two blocks are connected over the massless pulley as shown below. Calculate the acceleration of the system if the coefficient of kinetic friction between themysing + US FN = mvZ [5]-T1 mgs Date : NO ACCEL IN CHORE] ma sing 4/ - Name : Jan Tsui Blue Jays Vlad Guerrero Jr. has just hit a game winning home run in tonight's playoff game! He swung at a very low pitch, but managed to hit it in such a way that it traveled 85 m to the outfield wall and bounced off the top of the fence that is 2.6 m high. If the time of flight for the ball was 5.0 s, determine the launch velocity with which Vlad hit the ball. Given Ad H = Ve At + = dat ? 99A-12] 15 = Vu ( 5.0) + = (-9.80 ) ( 5.0) 2 2 + 6 m at=s.05 [4]-TI 85 = 5.0V -122.5 ACH = 85m At= 5.05. V. = 41.5 mls Ath = Vx ( st ) X The Launch velocity is 42 mls. V = 17 5/ - While on hall duty, Mr. Heath hears a commotion in the main hallway. To his surprise, there is Aikhan, holding his rocket-pants above his head and counting down from 10!?! 25 Mr. Heath snatches the pants and begins to run straight down the hallway at 7.0 m/s. By the time Aikhan has realized what happened, Mr. Heath had a 5.0 m head start. At that exact instance, Aikhan bellows 'rocket power' and begins to accelerate at