How much work output can a 150hp snowmobile do in 15 seconds if it is 18 % efficiency?
1 answer:
The work output is
Explanation:
The power of the snowmobile is
Keeping in mind that
We can convert it into Watts:
The energy used by the snowmobile can be found as follows:
where
P = 111,900 W is the power used
t = 15 s is the time interval
Substituting,
However, the snowmobile is 18% efficient: this means that only 18% of this energy is converted into useful work. Therefore, the work output is
Learn more about power and work:
#LearnwithBrainly
You might be interested in
The sprinter is in uniform accelerated motion, and its initial velocity is zero, so the relationship betwen space (S) and time (t) is
where a is the acceleration. Using the data of the problem, we can find a:
So now we can solve the 3 parts of the problem.
a) power output at t=2.0 s
The velocity at t=2.0 s is
the kinetic energy of the sprinter is
and so the power output is
b) power output at t=4.0s
The velocity at t=4.0 s is
the kinetic energy of the sprinter is
and so the power output is
c) Power output at t=6.0 s
The velocity at t=2.0 s is
the kinetic energy of the sprinter is
and so the power output is
where a is the acceleration. Using the data of the problem, we can find a:
So now we can solve the 3 parts of the problem.
a) power output at t=2.0 s
The velocity at t=2.0 s is
the kinetic energy of the sprinter is
and so the power output is
b) power output at t=4.0s
The velocity at t=4.0 s is
the kinetic energy of the sprinter is
and so the power output is
c) Power output at t=6.0 s
The velocity at t=2.0 s is
the kinetic energy of the sprinter is
and so the power output is