Question

TILL questions 1. Up on the ro up on the rooftop reindeer pause... as they try not to giggle at San and begins to slide - from rest - down the roof. Luckily, there (relative to the diagram below) that helps Santa sio of Fwind. (Once Santa reaches the edge of the roof, the wi fall from the edge). Hearing muffled cries from on one of his elves who had been playing belov y not to giggle at Santa when he trips coming out of the chimney Luckily, there arises a stiff breeze blowing directly to the left w that helps Santa slow down his slide down the rooftop. The wind pushes w the roof, the wind stops and is no longer in play once Santa begins his free muntled cries from underneath him, Santa realizes with horror that he has landed directly of the roof before no had been playing below. The roof is inclined at O and Santa slides L meters down the incine ule roor before shooting off the edge (assume he starts from rest). The height from roof edge to grow fedge to ground is H diagram). The coefficient of kinetic friction between the roof shingles and Santa is lik. In this problem F wind = 60N, O = 40°, L = 13m, H = 8m, uk= 0.120, and Santa's mass = 150kg. 1. Determine the acceleration of Santa as he slides down the incline (Show the neatly drawn with straight- edges) Free Body Diagram. Be sure the diagram is fairly large and clear, showing your x and y axis as well as the components of the vectors). meters. (See diagram). The coefficient of kinetic a. 5.06 m/s2 b. 2.68 m/s2 c. 0.977 m/s2 d. 6.18 m/s2 2. Use 1-D kinematics to find Santa's speed as he leaves the incline. a. 4.14 m/s b. 12.2 m/s c. 17.3 m/s d. 11.5 m/s 3. Use 2-D kinematics (projectiles) to determine how far away from the house the elf had been playing. a. 6.42 m b. 9.16 m c. 3.20 m d. 11.1 m 4. Find the velocity of Santa as he hits the elf (give this as a speed and angle below horizontal). a. 14.1 m/s @ 61.0 b. 17.0 m/s @ 58.8° c. 21.9 m/s @ 60° d. 5.99 m/s @ 40° 5. The Grinch is riding down the mountain with Max, his dog when he sees Santa landing in the snow. The Grinch is moving down the mountain with a downward slope of 65° below the horizontal moving at 30 m/s (the mountain has an oppositely directed slope than the roof - that is, if you look at the Santa diagram below, the roof is pitched downward to the right, so the Grinch's mountain is pitched downward to the left). With what velocity would he say Santa hits the ground (give your answer as a speed and the proper polar angle... this is a relative motion problem)? a. 16.4 m/s @ 11.30 b. 8.21 m/s @ 212 c. 24.9 m/s @ 30.5° d. 31.2 m/s @ 116°

Please answer and show work for all the questions. (including all Free Body Diagrams).

I would appreciate it if you use the original Equations and not the derived ones.

updated..

Answer 1

Y free body diagram- N= normal force f friction Fg force of gravity=m*g Sine sant Fwind Fah we can split Fg and F wind into x and y components... By Newton's second law ZFyO N- ma cos o Nmgcose Z Fx ma mg sine mg sin N - (150)-81Xsin uo)-6-12) mg Cos 40- (60) Cos 4o- (50) a FNind o= ma FNind Cos40 ma By eq.1, a- 5.06 m/s after solving, 2.) initial speed of santa 0 Vi d distance traveled on incline- 13m V V 2ad = (o2(5-06) L13) f santa's speed as he leaves incline, 3 j first we need to find time taken by santa to reach elf. HCVy) t+ After solving quadratic equation- t 073 Sec 5Go473 ) = 6.42 m distance of elf from house, d= (Vx)t