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Medical College Admission Test
Chemical and Physical Foundations of Biological Systems

Velocity of a Block on an Incline

Very Hard Physics Work And Energy

A scientist is studying the mechanical energy of a small block of mass m that is sliding down a frictionless incline that makes an angle θ with the horizontal. The block starts from rest at a height h from the bottom of the incline. The scientist wants to know the relationship between the height of the incline and the speed of the block at the bottom. Using the conservation of energy principle, which states that the total mechanical energy is conserved in a frictionless system, what is the formula that gives the speed v of the block at the bottom of the incline in terms of h and g (acceleration due to gravity)?

Hint

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