1. If you go 10 m North then 20 m South then 30 m East then102 Northwest then wh

Question

1. If you go 10 m North then 20 m South then 30 m East then102 Northwest then where are you from where youstarted?    a) 20.4 mEast b)    10 m Southeast   c)at the origin   d) 20 m East
2. Calculate the tension in a rope pulling a 5kg box up an 20°incline with coefficient of kinetic friction of .5 at anacceleration of 6.648m/s2.    a) 50N       b) 73N    c) 23 N    c) 40 N 3. A motor moves a 100kg object30m from rest in 2 seconds what is the power of theengine?          a) 1500 Watts     b) 1500N     c) 50 horsepower   d) 30hp 1. If you go 10 m North then 20 m South then 30 m East then102 Northwest then where are you from where youstarted?    a) 20.4 mEast b)    10 m Southeast   c)at the origin   d) 20 m East
2. Calculate the tension in a rope pulling a 5kg box up an 20°incline with coefficient of kinetic friction of .5 at anacceleration of 6.648m/s2.    a) 50N       b) 73N    c) 23 N    c) 40 N 3. A motor moves a 100kg object30m from rest in 2 seconds what is the power of theengine?          a) 1500 Watts     b) 1500N     c) 50 horsepower   d) 30hp 3. A motor moves a 100kg object30m from rest in 2 seconds what is the power of theengine?          a) 1500 Watts     b) 1500N     c) 50 horsepower   d) 30hp

Explanation / Answer

#3 is right. (0,10)+(0,-20)+(30,0)+(102cos(135),102sin(135)) = 20 m east = d) T - mgsin - umgcos = ma T = ma + mgsin + umgcos T = m(a + gsin + ugcos) = 5(6.648+(9.81*sin(20))+(0.5*9.81*cos(20))= 73 N = b) W = F*d F = ma d = 1/2at^2 2d = at^2 a = 2d/t^2 = (2*30)/4 = 15 m/s^2 100*15 = 1500 N 1500*30 = 45000 J 45000/2 = 22500 watts 22500 watts = 30 hp = d

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