2) Billy jumps upward with a velocity of 4.2 m/s off a 6m high diving board. What is his final velocity once he hits the water?

Answer:

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Explanation:

Objects in vertical motion are an illustration of non-uniform motion. At the peak of the circle, centripetal force is balanced by the object's weight. Therefore, the minimum speed required at this top point is given by v = = = 5.23 m/s. As the sphere descends from the top to the bottom of the circle, according to the law of conservation of energy, potential energy can be expressed as

, where h signifies the diameter of the circle (2r). Hence, the expression will be written as

where u is the velocity at the lowest point. Consequently, the modified equation is

=

=

= 11.71 m/s. The collision of the dart with the bullet is an inelastic one. According to the conservation of momentum: v =

=

=

= 58.55 m/s. Thus, the dart's minimum initial speed for the combined system to complete a circular loop post-collision is 58.55 m/s.

Explanation:

Efficiency can be expressed as the ratio of useful output to the total power consumed.

The fan delivers 500W as useful output while wasting 300W. Thus, the overall power consumed equals 800W (500 + 300).