True or false? in exercises 49 and 50, determine whether each statement is true or false. if a statement is true, give a reason or cite an appropriate statement from the text. if a statement is false, provide an example that shows the statement is not true in all cases or cite an appropriate statement from the text. 49. (a) a vector space consists of four entities: a set of vectors, a set of scalars, and two operations. (b) the set of all integers with the standard operations is a vector space. (c) the set of all ordered triples (x, y, z) of real numbers, where y ≥ 0, with the standard operations on r3 is a vector space.

If a spring has a k value of 100 newtons per meter and it is stretched 0.50 meters, what is the restoring force of the spring?

As you are trying to move a heavy box of mass m, you realize that it is too heavy for you to lift by yourself. there is no one around to , so you attach an ideal pulley to the box and a massless rope to the ceiling, which you wrap around the pulley. you pull up on the rope to lift the box. use g for the magnitude of the acceleration due to gravity and neglect friction forces. once you have pulled hard enough to start the box moving upward, what is the magnitude f of the upward force you must apply to the rope to start raising the box with constant velocity? express the magnitude of the force in terms of m, the mass of the box.

The dot diagram represents the motion of the motorcycle as it moves from left to right