Bike Race Problem: Solving for Applied Force, Work, Power & Acceleration

• green123
In summary, Contador climbed a 5 degree section of road for 8.2 km to the summit in 20 minutes 35 seconds. His mass is 62 kg, his bike is 8 kg, and the resistance force is 21 N. The applied force needed for him to move at constant speed is unknown. The work done to reach the summit is also unknown. Contador generates a power of delta E/time per kilogram of body mass. If he accelerates at a rate of .62 m/s^2 for the last 25 seconds, an additional force is needed. The final velocity at the end of the race is also unknown. Relevant equations include ke= .5 mv^2, pe=mgh,
green123

Homework Statement

Contador climbs a 5 degree section of road for 8.2 km to the summit in 20 minutes 35 seconds. he is 62kg?
his bike is 8kg and the resistance force is 21 N
What is the applied force needed for contador to move at constant speed?
what is the work done to reach the summit?
how much power does contador generate per kilogram of body mass?
how much additional force is needed if contador accelerates at a rate of .62 m/s^2 for the last 25 seconds?
with what velocity does he finish the race based on this acceleration?

Homework Equations

ke= .5 mv^2
pe=mgh
work=fd
power= delta E/time

green123 said:

Homework Statement

Contador climbs a 5 degree section of road for 8.2 km to the summit in 20 minutes 35 seconds. he is 62kg?
his bike is 8kg and the resistance force is 21 N
What is the applied force needed for contador to move at constant speed?
what is the work done to reach the summit?
how much power does contador generate per kilogram of body mass?
how much additional force is needed if contador accelerates at a rate of .62 m/s^2 for the last 25 seconds?
with what velocity does he finish the race based on this acceleration?

Homework Equations

ke= .5 mv^2
pe=mgh
work=fd
power= delta E/time

The Attempt at a Solution

What are your thoughts on this problem? Per Physics Forums rules, you need to show some effort towards a solution before we can give help.

1. What is the Bike Race Problem?

The Bike Race Problem is a physics problem that involves calculating the applied force, work, power, and acceleration of a bicycle rider during a race. It is a common problem used in physics courses to demonstrate the principles of motion and energy.

2. How do you calculate applied force?

Applied force is calculated by dividing the product of mass and acceleration by the coefficient of friction. This can be represented by the equation F=ma/μ, where F is the applied force, m is the mass, a is the acceleration, and μ is the coefficient of friction.

3. What is the formula for work in the Bike Race Problem?

The formula for work in the Bike Race Problem is W=Fdcosθ, where W is work, F is the applied force, d is the distance traveled, and θ is the angle between the force and the direction of motion.

4. How is power calculated in the Bike Race Problem?

Power is calculated by dividing work by time. This can be represented by the equation P=W/t, where P is power, W is work, and t is time.

5. What is the relationship between force, work, and power in the Bike Race Problem?

Force, work, and power are all related in the Bike Race Problem. Force is required to do work, and the amount of work done determines the power output of the rider. The more force applied, the more work is done and the greater the power output. This relationship can be represented by the equation P=W/t=Fdcosθ/t, where P is power, W is work, F is force, d is distance, and θ is the angle between the force and direction of motion.

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