How Much Force Must a Bicyclist Apply to Climb a Hill at Constant Speed?

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To determine the force a bicyclist must apply to climb a hill at constant speed, one must analyze the forces acting on the cyclist in both descending and ascending scenarios. The mass of the rider and bicycle is 60.0 kg, and the hill's incline is 19.0°. While descending, the cyclist experiences gravitational force and air resistance, but at constant speed, these forces balance out, resulting in no net force. When climbing, the cyclist must apply a force that counteracts gravity and air resistance to maintain constant speed. Understanding these forces and drawing free body diagrams for both scenarios can clarify the differences and aid in calculating the required force for climbing.
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A bicyclist is coasting straight down a hill at a constant speed. The mass of the rider and bicycle is 60.0 kg, and the hill is inclined at 19.0° with respect to the horizontal. Air resistance opposes the motion of the cyclist. Later, the bicyclist climbs the same hill at the same constant speed. How much force (directed parallel to the hill) must be applied to the bicycle in order for the bicyclist to climb the hill?

I am so lost with this one and have no idea where to start.
 
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spoonthrower said:
A bicyclist is coasting straight down a hill at a constant speed. The mass of the rider and bicycle is 60.0 kg, and the hill is inclined at 19.0° with respect to the horizontal. Air resistance opposes the motion of the cyclist. Later, the bicyclist climbs the same hill at the same constant speed. How much force (directed parallel to the hill) must be applied to the bicycle in order for the bicyclist to climb the hill?

I am so lost with this one and have no idea where to start.

Note this:"climbs the hill at the same constant speed" What does this imply about the cyclist when he was coming down the hill? What can you find from this?

When he is going up the hill, again wat are the forces that apply on him? Compare the 2 situations, one when the cyclist is coming down the hill and the other, when the cyclist is moving up the hill. Draw out a free body diagram for both cases and see the differences in forces acting on the cyclist.
 
I know constant speed means there is no acceleration...but I don't see how i can solve anything for this...and does air resistance play a part when he climbs up the hill? help?
 
Yes. there is air resistance but the fact that the cyclist is moving at constant speed tells us more than just that he is not accelerating. It also tells us that the cyclist have no resultant force down the slope right?
 
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