Starting at point A, a dog walks 92.5 m at 18.92degree S of E, 163.0. m W, and f

Question

Starting at point A, a dog walks 92.5 m at 18.92degree S of E, 163.0. m W, and finally 76.5 m at 61.93degree E of N, stopping at point B. At point B, how far is the dog from point A? At point B, at what angle must the dog walk to get back to point A? A 450 g piece of metal at 90degree C is dropped into 150 g aluminum cup containing 550 g of water at 15degree C. the final temperature of the system is 35degree C. what is the specific heat of the metal, assuming no heat is exchanged with the surroundings? The specific heat of aluminum is 900 3/(kg.k). A 230 g mass and a 170 g mass are attached to the two ends of a string that goes over a pulley with a radius of 5.25 cm. because of friction, the pulley does not begin to rotate. What is the magnitude of the frictional torque on the bearing of the pulley if the system is in static equilibrium?

Explanation / Answer

2. Net displacement ( considering i as east and j as north)
r = 92.5(cos(18.92)i - sin(18.92)j) -163i + 76.5(cos(61.93)j + sin(61.93)i) = -7.99 i + 6j
|r| = 9.99 m
direction from east = arctan(6/-7.99) = 36.90 deg south of east

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