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For Q. 33, calculate how fast will the same truck move down the hill with same power. |
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Answer» Solution :Force on the truck when it moves down the hill is `F'=mgsintheta-mu_(k)MG costheta` Power, `P=F''v'` CALCULATE v. Fdorce on the truck when it moves down the hill `F'=mgsintheta=mu_(k)mgcostheta` `=mg(sintheta-mu_(k))` (taking ` cos theta=1` as angle is very small) `=10^(2)((1)/(50)-0.2)` `=10^(5)((-9)/(50))=-18,000N` Negative sign signifies direction Power = F'V' `22xx10^(4)=18000v` `v=(220)/(18)=12.5ms^(-1)` `=12.2xx18/5=43.99` `=44kmh^(-1)` |
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