A roller-coaster car may be represented by a block of mass 50.0kg. The car is re

Question

A roller-coaster car may be represented by a block of mass 50.0kg. The car is released from rest at a height h =45.0m above the ground and slides along a frictionless track. The car encounters a loop of radius R = 15.0m at ground level, as shown. As you will learn in the course of this problem, the initial height 45.0m is great enough so that the car never loses constant with the track. Find an expression for the kinetic energy K of the car at the top of the loop Express the kinetic energy numerically, in joules A roller-coaster car may be represented by a block of mass 50.0kg. The car is released from rest at a height h =45.0m above the ground and slides along a frictionless track. The car encounters a loop of radius R = 15.0m at ground level, as shown. As you will learn in the course of this problem, the initial height 45.0m is great enough so that the car never loses constant with the track. Find an expression for the kinetic energy K of the car at the top of the loop Express the kinetic energy numerically, in joules Express the kinetic energy numerically, in joules

Explanation / Answer

a) Apply consrvation of energy

m*g*H = m*g*(H-2*R) + KE

KE = m*g*H - m*g*(H-2*R)

= 2*m*g*R

b)

KE = 2*50*9.8*15

= 7350 J

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