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Hello everyone

I have been assigned to create a physics problem involving bicycles. I thought up the following, but I had questions regarding if it was properly made / worked out.

I was thinking of using the formula:

P = ( ( mg sin θ + ma ) x d ) / t

P = ( (( 80 x 9.81 ) sin ( 15 ) + ( 80 x 1 )) 30 ) / 60

P = 141.6 W

Is this correct ? Are there any variables of e.g. vectors, forces, etc. that I have forgotten to include in this calculation? or am I over complicating things ?

Thank you very much !

I have been assigned to create a physics problem involving bicycles. I thought up the following, but I had questions regarding if it was properly made / worked out.

*A cyclist is accelerating constantly up a slope at 1 m/s ^-2 The slope is at a 15 degree angle and is 30 m long. It takes the cyclist 1 minute to reach the end of the slope. The combined mass of the cyclist and the bicycle is 80 kg. How much power is needed to make this possible ? (Neglect air resistance and drag)*I was thinking of using the formula:

**F = mg sin θ + ma**to calculate the force needed to go up the slope, and then incorporating the found value of F into the formula:**P = work / time = ( F x d ) / t**to find the amount power needed to complete this task. The working out looks like this:P = ( ( mg sin θ + ma ) x d ) / t

P = ( (( 80 x 9.81 ) sin ( 15 ) + ( 80 x 1 )) 30 ) / 60

P = 141.6 W

Is this correct ? Are there any variables of e.g. vectors, forces, etc. that I have forgotten to include in this calculation? or am I over complicating things ?

Thank you very much !