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A slef-propelled vehicle of mass m , whoseengine dilivers a constant powerP has an accerlation a=(P/mv) .(assume that there isno friction) Inorder to increase its velocity fromV1 to V2, the distance it has to travel is will be

LOKESH , 6 Years ago
Grade 12th Pass
anser 1 Answers
Arun

Last Activity: 6 Years ago

Dear student
 
 
P=FV
P=mav
P=mv . dv/ds . v
P/m.ds =v^2.dv
Integrate both sides under limits
V from v1 to v2
ds from 0 to S
We get
(v^3/3)v1tov2=P/m.s
1/3(v2^3-v1^3)=P/m.S
M/3P(v2^3-v1^3)=S
 
Regards
Arun

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