The children pull a third child on a snow saner sled exerting forces F_1 and F_2

Question

The children pull a third child on a snow saner sled exerting forces F_1 and F_2 as shown from above in the figure. Find the acceleration (magnitude in m/s^2 and direction in degrees counterclockwise from the axis directed to the right) of the 11.0 kg sled. Note that the direction of the frictional force is unspecified: it will be in the opposite direction of the sum of F_1 and F_2. Magnitude ____ m/s^2 (12.8 m/s^2 is wrong) Direction _____ degree counterclockwise from the axis directed to the right.

Explanation / Answer

M(sled) =11 kg

F1cos(45)+F2cos(30) = 7.071 +6.928

=14N

friction force magnitude = 7.5 N(As shown in diagram)

14-7.5 = 11a

a= 0.59 m/s2

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