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Mathematics 22 Online
OpenStudy (idku):

question.

OpenStudy (idku):

If friction (rolling friction and air drag) results in a retarding force of \(294~\rm N\) at a speed of \(50~\rm km/h\), what is the minimum energy needed to move the car a distance of \(287~\rm m\), at a constant speed of 50 km/h?

OpenStudy (kanwal32):

is the weight of the car given

OpenStudy (idku):

The weight of the car: 1228-kg (Sorry that I left this out)

OpenStudy (kanwal32):

so the answer is E-ForceXdisplacment=1/2mv^2

OpenStudy (kanwal32):

put in the values

OpenStudy (kanwal32):

and convert it into m/s

OpenStudy (idku):

\(E - F\times x=\frac{1}{2}mv^2\) ? So, basically \(\Delta E=\frac{1}{2}mv^2\) ?

OpenStudy (idku):

Wait, no, that is work....

OpenStudy (kanwal32):

the energy supplied=1/2mv^2+Force*displacement

OpenStudy (idku):

Oh

OpenStudy (idku):

50 km/h = 13.89 m/s E = (1/2)(1228 kg )(13.89 m/s )^2+(294 N)* (287 m)

OpenStudy (idku):

Like this?

OpenStudy (kanwal32):

yeah

OpenStudy (idku):

alright will see if this is right... tnx for helping me out:)

OpenStudy (idku):

I converted to KJ (killo Joules), and I have 202.840 KJ but the site tells me it is wrong

OpenStudy (kanwal32):

man i think it should be right

OpenStudy (idku):

I checked it, and it's wrong:( Don't know why. Maybe the formula is off?

OpenStudy (kanwal32):

can u send me the link

OpenStudy (idku):

It is a flipit-physics homework

OpenStudy (idku):

I don't think I can link you to this, because you don't have the course-access.

OpenStudy (kanwal32):

man i am sure it is right

OpenStudy (idku):

But that is precisely the question: If friction (rolling friction and air drag) results in a retarding force of 294 N at a speed of 50 km/h, what is the minimum energy needed to move the car a distance of 287 m at a constant speed of 50 km/h? And from the previous part I know the mass of the car: 1228 kg.

OpenStudy (kanwal32):

the work done by the friction is force*displacement sorry

OpenStudy (kanwal32):

pls check 84.378

OpenStudy (idku):

we accounted for that, didn't we? E = (1/2)(1228 kg )(13.89 m/s )^2+\(\color{red}{(294 N)* (287 m)}\)

OpenStudy (kanwal32):

kilo joules

OpenStudy (idku):

Wow, that was right. How did you get this answer ?

OpenStudy (kanwal32):

man i forgot that the energy in the system remains constant

OpenStudy (kanwal32):

1/2mV^2=E+1/2mv^2-force*displacement

OpenStudy (idku):

Oh, I get it ...

OpenStudy (idku):

So it just results in Force × Displacement

OpenStudy (idku):

Thanks again!

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