Question

tion 13 Consider a map overlaid with a rectangular coordinate system, where E is towards the positive x-axis, and N is towards the positive y-axis. If Alice runs N at 3 m/s and Bob runs SW at 4 m/s, what is the velocity of Bob with respect to Alice? 4 A m (a) vB/A- a m BAG /2 estion 14-15 Information A mass is connected to a pulley as shown. P pulls to the right at constant speed vp Question 14 What is the mass speed Vm in terms of vp? (a) um (e) Unt_2t'p estion 15 How far must P pull for mass m to move 2 m? (a) 1 m (b) 2 m (c) 4 m (d) ½m (e) ¼ m esti Ben is stuck in traffic on I-24 E, crawling along at 20 mph to get to work downtown. Gerald is flying down I-24 W at 80 mph to get to class at MTSU. What is the velocity of Ben with respect to Gerald? a) vB/G-20 mph (b) UB/G= 100 mph (c) UB/G=-100 mph (d) vBjG-60 mph (e) VB /G =-60 mph

Answer 1

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V_A = 3 m/s j^^V_B = 4 m/s (- cos 45 degree i^^+ sin 45 degree j^^) = -4/squareroot 2 i^^-4/squareroot 2 j^^m/s V_B/A = V_B - V_A = (-4/squareroot 2 i^^-4/squareroot 2 j^^) m/s - (3 j^^) m/s = -4/squareroot 2 i^^- (3 + 4/squareroot 2) j^^m/s