Question

To get a toolbox up an inclined slope, a student installs a pulley system as in the picture shown. The student uses their body weight to apply a force. The student weighs 82.5kg, and the toolbox weighs 11kg. The angle of the slope is 25.7° above the horizontal. The coefficient of friction between the box and the slope is 0.209. Once the student gets the box moving, what will its acceleration be? Answer: Choose... - Check

Answer 1

let mass of student, M = 82.5 kg mass of toolbox , m= 11 kg angle of slope , 0 = 25070 Coefficient of friction, M = 0.209 Na / igsuo mT"4 the my.co (using equation D te uN). from the above diagram, we have N = mg cose ~ 0 T-ngsint of = ma - To my sine ung coso-ma – and mg - T = ma ading W &W, we have mg mg sino = mongeoso = matma a= Mg mg sino- umgcoso (M+m) 95.7') - 0-209 X11X9.8x41725.7) 82.5 89.8 - 11 x 9.8 x S a = (82.5 +1)) big a= 7.9 m/s2 Hence acceleration of the student is 709 m/s.