Answer to Question #220020 in Mechanics | Relativity for Zoya

Question

A student is pulling a 11.0 kg sled along flat ground. The students 30.0 kg sister then sits in the sled. The student then applies a 430 N force at an angle of 35° N of E. If the force of friction is 180 N, what is the acceleration of the sister sitting in the sled. (Ensure you draw a free body diagram.)

Answer 1

Balancing forces in x direction,

$(11+30)a=430\cos35\degree-180$

$\Rightarrow43a=172.235$

$\Rightarrow a=4.005\space m/s^2$