PLEASE ANSWER ALL 3 PROBLEMS!
(1) Only two horizontal forces act on a 3.0 kg body that can move over a frictionless floor. One force is 9.0 N, acting due east, and the other is 8.8 N, acting 52° north of west. What is the magnitude of the body's acceleration?
(2) Two horizontal forces act on a 1.8 kg chopping block that can slide over a frictionless kitchen counter, which lies in an xy plane. One force is F1 = (3.6 N) + (3.7 N) . Find the acceleration of the chopping block in unit-vector notation for each of the following second forces.
(a) F2 = (-3.6 N) + (-3.7 N)
(b) F2 = (-3.6 N) + (3.7 N)
(c) F2 = (3.6 N) + (-3.7 N)
(3) There are two forces on the 0.7 kg box in the overhead view of the figure below but only one is shown. The figure also shows the acceleration of the box.
(a) Find the second force in unit-vector notation.
(b) Find the second force as a magnitude and direction.
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