large globe has a radius R and a frictionless surface. A small block of mass m slides starts from rest at 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. (Figure 1) a) Using Newton's 2nd law, find vcrit, the speed of the block at the critical moment when the block leaves the surface of the globe. (Assume that the height at which the block leaves the surface of the globe is hcrit) Express the speed in terms of R, hcrit, and g, the magnitude of the acceleration due to gravity. Do not use theta in your answer. b) Use the law of conservation of energy to find vcrit. This will give you a different expression for vcrit than you found in the previous part.
A large globe has a radius R and a frictionless surface. A small block of mass m slides starts from rest at 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. (Figure 1)
a) Using Newton's 2nd law, find vcrit, the speed of the block at the critical moment when the block leaves the surface of the globe. (Assume that the height at which the block leaves the surface of the globe is hcrit)
Express the speed in terms of R, hcrit, and g, the magnitude of the acceleration due to gravity. Do not use theta in your answer.
b) Use the law of conservation of energy to find vcrit. This will give you a different expression for vcrit than you found in the previous part.
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