Grade 10Mechanics
Show that the speed reached by a car of mass that is driven by a constant power is given by.
Show that the speed reached by a car of mass that is driven by a constant power is given by.
1 Answer
Arun
P=F.v
m(dv/dt)v=P
m(dv/ds)(ds/dt)v=P
m(dv/ds)v2=P
mv2dv=Pds
integrate by putting limits v=0 to v and s=0 to s=x
we get
v=(3xP/m)1/3
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