Two ropes are attached to a tree, and forces of F ⃗ 1 = 2.0i ^ + 4.0j ^ N and F ⃗ 2 = 3.0i ^ + 6.0j ^ N are applied. The forces are coplanar (in the same plane). (a) What is the resultant (net force) of these two force vectors? (b) Find the magnitude and direction of this net force.

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Newton's First Law of Motion

If a very smooth ball is rolled down an inclined surface with zero friction, the ball will continue to roll indefinitely for an infinite time, in an attempt to reach to the same height on the opposite hill!