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BIO Internal energy change while biking you set your stationary bike on a high 8

ID: 2307433 • Letter: B

Question

BIO Internal energy change while biking you set your stationary bike on a high 80-N friction-like resistive force and cycle for 30 min at a speed of 8.0 m/s. Your body is 10% efficient at converting chemical energy in your body into mechanical work, (a) what is your internal chemical energy change? (b) How long must you bike to convert 3.0 times 10^5 J of chemical potential while staying at this speed? (This amount of energy equals the energy released by the body after eating three slices of bread.)

Explanation / Answer

the change in internal chemical energy :

    E =W/n = f.s/n = f*v*t / n = 80*8*30*60 / (10/100) = 11.52x106 = 11.52 MJ

The time t is calculated as follows:

    t = En/fv = 3x105*(10/100) /80*8 = 46.875 s = 46.9 s = 0.78 min