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

In summary: So the force the cyclist needs to overcome is the weight of himself and the bike divided by the gravitational force of the hill.
  • #1
spoonthrower
37
0
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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  • #2
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.
 
  • #3
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?
 
  • #4
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?
 

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

1. What is the force of a bicyclist while riding?

The force of a bicyclist while riding is a combination of several forces, including the force of the rider's legs pushing the pedals, the force of gravity acting on the rider and the bike, and the force of air resistance.

2. How does the force of a bicyclist affect their speed?

The force of a bicyclist directly affects their speed. The greater the force the rider applies to the pedals, the faster they will go. However, factors such as air resistance, incline, and weight can also impact the speed of a bicyclist.

3. What is the relationship between force and acceleration for a bicyclist?

According to Newton's Second Law of Motion, the force applied to an object is directly proportional to its acceleration. This means that the greater the force a bicyclist applies to the pedals, the greater their acceleration will be.

4. How does the force of a bicyclist change when going up a hill?

When going up a hill, the force of gravity pulling the rider and bike down is counteracted by the force of the rider's legs pushing the pedals. The steeper the incline, the more force the rider will need to apply to maintain their speed.

5. How can air resistance affect the force of a bicyclist?

Air resistance is a force that acts in the opposite direction of the motion of the bicyclist. This means that the force of air resistance can slow down a bicyclist and require them to apply more force to maintain their speed. Additionally, the force of air resistance increases as the speed of the bicyclist increases.

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