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A large globe, with a radius of about 5 m , was built in Italy between 1982 and 1987. Imagine that such a globe has a radius R and a frictionless surface. A small block of mass m starts to slide with a tiny (negligible) speed from the very top of the globe and slides along the surface of the globe. The block leaves the surface of the globe when it reaches a height hcrit above the ground. The geometry of the situation is shown in the figure for an arbitrary height h .
a) Use the law of conservation of energy to find and expression for vcrit . This will give you a different expression for vcrit than you found in the previous part.
Express vcrit in terms of R , hcrit , and g .
b)Find hcrit , the height from the ground at which the block leaves the surface of the globe.
Express hcrit in terms of R .
Sagot :
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