The work output is [tex]3.02\cdot 10^5 J[/tex]
Explanation:
The power of the snowmobile is
[tex]P=150 hp[/tex]
Keeping in mind that
[tex]1 hp = 746 W[/tex]
We can convert it into Watts:
[tex]P=(150)(746)=111,900 W[/tex]
The energy used by the snowmobile can be found as follows:
[tex]E=Pt[/tex]
where
P = 111,900 W is the power used
t = 15 s is the time interval
Substituting,
[tex]E=(111,900)(15)=1.68\cdot 10^6 J[/tex]
However, the snowmobile is 18% efficient: this means that only 18% of this energy is converted into useful work. Therefore, the work output is
[tex]W=0.18E=(0.18)(1.68\cdot 10^6)=3.02\cdot 10^5 J[/tex]
Learn more about power and work:
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