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Group Work 4 -Cliffhanger (option 2) Sylvester Stalone\'s quick reflexes allow h

ID: 3308579 • Letter: G

Question

Group Work 4 -Cliffhanger (option 2) Sylvester Stalone's quick reflexes allow him to save himself and a fellow climber from falling to their death. The two climbers have masses of 110 kg and the angle of incline is 15 degrees. a) b) c) d) What is the tension in the rope while he holds on to his pickaxe? If Sylvester loses his grip and they begin to slide/fall, what will their acceleration be? What is the he tension in the rope as they fall? If he has 10 ft (3.2 m) to slide to the edge of the cliff, how long does he have for his life to flash before his eyes?

Explanation / Answer

(A) For fellow climber,

Fnet = T - m g = 0

T = 110 x 9.8 = 1078 N ......Ans

(B) on fellow climber,

Fnet = 110g - T = 110 a ... (i)

on Slyvester,

T + 110gsin15 = 110 a .... (ii)


(i)+(ii)=> (110 x 9.8) (1 + sin15) = 220 a

a = 6.17 m/s^2 ....Ans


(C) T = 110 ( g - a) = 400.6 N  


(D) vf^2 - vi^2 = 2 a d

v^2 - 0^2 = 2(6.17)(3.2)

v = 6.28 m/s