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Block of ice slides down roof; falls to the ground; find distance from building to impact.

SEE ATTACHMENT #1 for a diagram showing parameters.

A block of frictionless ice starts from rest and slides distance x= 12 meters down a roof which is at angle b= 37 degrees. Leaving the roof at a point 22 meters above ground, it flies through the air and strikes the ground distance H from the building. Find distance H.


Solution Preview

Step 1.
The force which accelerates the ice is 'M g sin b', and the distance from start to edge of roof is x. For the acceleration to the point where it leaves the roof, apply Newton's second law, 'net force = m a'. This gives:
(1) M g sin b = M a

Step 2.
The motion equation which includes velocity ...

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