A 12.0kg crate is pulled eastward across a smooth warehouse floor by three industrial robots. Robot 1 exerts a 28.0N force due east, Robot 2 exerts a 15.0N force due west, and Robot 3 exerts a 0.040kN force due east. Neglect friction.
Answer the following, showing all work.
(a) Convert the force applied by Robot 3 to newtons.
(b) Determine the algebraic sum of the three horizontal forces, indicating the proper sign convention for east and west.
(c) Calculate the crate’s acceleration, giving both magnitude and direction.
(d) If the same three forces act for 3.0s starting from rest, compute the crate’s final speed and specify its direction.