Prompt Week 8
If you have to push a lifetime of happiness, woe, memories, and dreams whose mass weighs in at 45 kilograms up a slope with an incline of 45 degrees and the friction coefficient is 17 gpsi, how much energy will you need to supply to get a liftoff velocity of .5 kilometers per hour?
Fsumy = Fn = (45kg)(9.81 m/s^2)(cos 45) = 312 N
(I’m going to assume that the coefficient of friction is .17 as it is always less than 1.)
a = .5 km/hr = 1000m/1km * 1 hr/3600s = .139 m/s
fk = μk – Fn = 53.0 N
Fsumx = Fcos 45 – fk = ma
Fcos 45/cos45 = ma + fk/cos45
F = ma + fk/cos 45
F = (45 kg)(.139 m/s) + 53.0 N/cos45
F = 59.255/cos45
Fapp = 84 N
Answer: It takes 84 N of applied force to get a liftoff velocity of .5 km/hr.
It also requires a belief in the impossible and a dream that would rather kill you than die.
1 Comments:
I think your answer is correct, but I have my doubts about the math. I want to know HOW you arrive at results!
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