The Photosphere is the right answer
B- we would need the time to fulfill the formula distance = speed x time
Answer:
P=9.58 W
Explanation:
According to Newton's second law, and assuming friction force as zero:
![F_m=m.a\\F_m=0.875kg*a](https://tex.z-dn.net/?f=F_m%3Dm.a%5C%5CF_m%3D0.875kg%2Aa)
The acceleration is given by:
![a=\frac{\Delta v}{t}\\a=\frac{0.685m/s}{21.5*10^{-3}s}\\\\a=31.9m/s^2](https://tex.z-dn.net/?f=a%3D%5Cfrac%7B%5CDelta%20v%7D%7Bt%7D%5C%5Ca%3D%5Cfrac%7B0.685m%2Fs%7D%7B21.5%2A10%5E%7B-3%7Ds%7D%5C%5C%5C%5Ca%3D31.9m%2Fs%5E2)
So the force exerted by the motor is:
![F_m=0.875kg*31.9m/s^2\\F_m=27.9N](https://tex.z-dn.net/?f=F_m%3D0.875kg%2A31.9m%2Fs%5E2%5C%5CF_m%3D27.9N)
The work done by the motor is given by:
![W_m=F_m*d\\\\d=\frac{1}{2}*a*t^2\\d=\frac{1}{2}*31.9m/s^2*(21.5*10^{-3}s)^2\\\\d=7.37*10^{-3}m](https://tex.z-dn.net/?f=W_m%3DF_m%2Ad%5C%5C%5C%5Cd%3D%5Cfrac%7B1%7D%7B2%7D%2Aa%2At%5E2%5C%5Cd%3D%5Cfrac%7B1%7D%7B2%7D%2A31.9m%2Fs%5E2%2A%2821.5%2A10%5E%7B-3%7Ds%29%5E2%5C%5C%5C%5Cd%3D7.37%2A10%5E%7B-3%7Dm)
![W_m=27.9N*7.37*10^{-3}m\\W_m=0.206J](https://tex.z-dn.net/?f=W_m%3D27.9N%2A7.37%2A10%5E%7B-3%7Dm%5C%5CW_m%3D0.206J)
And finally, the power is given by:
![P=\frac{W_m}{t}\\P=\frac{0.206J}{21.5*10^{-3}s}\\\\P=9.58W](https://tex.z-dn.net/?f=P%3D%5Cfrac%7BW_m%7D%7Bt%7D%5C%5CP%3D%5Cfrac%7B0.206J%7D%7B21.5%2A10%5E%7B-3%7Ds%7D%5C%5C%5C%5CP%3D9.58W)
Answer:
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