(a) Find the magnitude and direction of thesled\'s acceleration. Magnitude 1 m/s

Question

(a) Find the magnitude and direction of thesled's acceleration.
Magnitude 1 m/s2 Direction 2°(counterclockwise from the +x-axis)
(b) How long does it take for the sled to reach a speed of9 m/s?
3 s Magnitude 1 m/s2 Direction 2°(counterclockwise from the +x-axis) Two children pull a sled of mass 12 kgalong a frictionless surface as shown in the figure below. (a) Find the magnitude and direction of thesled's acceleration. Magnitude 1 m/s2 Direction 2(counterclockwise from the +x-axis) (b) How long does it take for the sled to reach a speed of9 m/s? 3 s

Explanation / Answer

total force in .    x direction   = 10 cos50 + 15cos30 =    19.418 N . y direction = 15 sin30   - 10 sin50   =   -0.160 N .     magnitude = (19.4182 + 0.1602)1/2 =    19.42 N    total force .     magnitude of acc =   19.42/ 12 =    1.618m/s2 .     magnitude of acc =   19.42/ 12 =    1.618m/s2 .    direction = arctan (-0.160 / 19.418) =   359.53 degrees . time = speed / acc = speed /(F/m) = 9 / (19.42 / 12) =    5.56seconds

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