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

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Homework Help Overview

The problem involves a bicyclist navigating a hill, first coasting down at a constant speed and then climbing back up at the same speed. The scenario includes considerations of forces such as gravity and air resistance, with a focus on determining the force required to ascend the hill.

Discussion Character

  • Exploratory, Assumption checking, Conceptual clarification

Approaches and Questions Raised

  • Participants discuss the implications of constant speed on forces acting on the bicyclist, comparing the situations of descending and ascending the hill. There are inquiries about the role of air resistance and how it affects the forces involved.

Discussion Status

Participants are actively exploring the relationship between the forces acting on the bicyclist in both scenarios. Some have noted the significance of constant speed in relation to resultant forces, while others are questioning how to approach the problem without clear methods outlined.

Contextual Notes

There is a mention of drawing free body diagrams to visualize the forces, indicating a potential gap in understanding the forces at play. The discussion reflects uncertainty about how to apply the concepts to find the required force for climbing the hill.

spoonthrower
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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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