Kinetics of a Particle: Work and Energy

1. Mar 12, 2008

Suitengu

1. The problem statement, all variables and given/known data
The cyclist travels to a point A, pedaling until he reaches a speed Va = 4m/s. He then coasts up freely the curved surface. Determine how high he reaches up the surface before he comes to a stop. Also, what are the resultant normal force on the surface at this point and his acceleration? The total mass of the bike and man is 75 kg. Neglect friction, the mass of the wheels and the size of the bicycle.

2. Relevant equations
a is 4m from diagram.

3. The attempt at a solution

I found y first using the work-energy theorem and solve for x using the equation of the path given. I was then stuck at calculating the angle at this coordinate so I sought out help. The individual told me to take the square root of y/x and take the arctan of that. To my surprise, I worked with this value using normal and tangent coordinates and it worked. I would like if someone could explain to me why it was done like this as I am still lost. Thanks in advance.

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