general physics multiple choice question #1 #2 Three balls, each having equal ma

Question

general physics multiple choice question #1 #2 Three balls, each having equal mass, are fired from the same height H above the ground with equal speeds, but different directions as shown. Which has the largest kinetic energy when it hits the ground? They will have the same kinetic energy Consider a disk and a bicycle wheel spinning around an axis at their centers. Both have the same radius and total mass. If they have the same angular momentum which is spinning faster? The disk The wheel They have the same angular momentum, so they spin at the same rate We cannot say Dr. O. must push a box up one of two hills, both equally high. Hill A has a length L, and a coefficient of friction of pk. Hill B has a length four times as long, but only 1/3 the

Explanation / Answer

1)   They each start with the same kinetic energy and they each have the same change in potential energy, so they end with the same kinetic energy. (option d)

2) As angular momentum is same then L=Idiskwdisk = Iwheelwwheel

(thin solid disk and bicycle wheel as circular hoop)

   Idisk/ Iwheel=wwheel/wdisk=1/2

So wdisk=2wwheel

The disk will spin faster then wheel (option a)

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