A cyclist is moving up a slope that is at an angle of 19 to the horizontal. The mass of the cyclist and the bicycle is 85 kg. What is the component of the weight of the cyclist and bicycle parallel to the slope and what is the normal reaction force on the bicycle from the slope?

The normal reaction on the bicycle by the inclined slope is 787.62 N.

The parallel on the bicycle along the inclined slope is 271.2 N.

The given parameters;

The normal reaction on the bicycle by the inclined slope is calculated as; follows;

The parallel on the bicycle along the inclined slope is calculated as

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Explanation:

Given

Slope of inclination

Mass of cyclist and bicycle is

When cyclist is going up then there is two components of its weight , one is parallel to inclination and other is perpendicular to inclination

Weight of person is mg

it can be resolved in and  

is perpendicular to the inclination

and is parallel to inclination as shown in diagram

Parallel component

Normal reaction

when two balls of the different masses are dropped from equal height, they reach the ground at the same time .this is because they experience the same acceleration.

the acceleration is independent of mass.

thus when they are dropped they will always maintain the same velocity and travel the same distance (neglect air resistance of course) at the same time.