The accelerating force of the wind on a small 200-kg sailboat is 707 N northeast

Question

The accelerating force of the wind on a small 200-kg sailboat is 707 N northeast. If the drag of the keel is 500 N acting west, what is the acceleration of the boat? a. 1.5 m/s due east b. 2.5 m/s2 due north c. 3.0 m/s northeast d. 2.0 m/s? north by northwest 35 36, Find the resultant of the following two vectors: i) 50 units due east and 100 units 30" north of west. a. 100 units 30° north of west b. 62 units 15 north of west c. 87 units 60° north of west d. 62 units 54° north of west _ 37. A sled weighs 100 N. It is held in place on a frictionless 20° slope by a rope attached to a stake at the top; the rope is parallel to the slope. What is the normal force of the slope acting on the sled? a. 94 N b. 47 N c. 37 N d. 34 N

Explanation / Answer

35. F1 = 707 (cos45i + sin45j)

F2 = - 500 i

Fnet = F1 + F2 = 500 j

a = Fnet / m = 2.5 m/s^2 j

Ans: (b) 2.5 m/s^2 due north

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