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Grade 11IIT JEE Entrance Exam

a vehicle of mass m is accelerated on a frictionless road under a force changing its velocity from u to v in distance s . a constant power p is given by the vehicle to an engine , then v is equal to

Profile image of ishita mittal
9 Years agoGrade 11
Answers icon

1 Answer

Profile image of Arun
6 Years ago
Using P=Fv=M( 
dt
dv
​ 
 )v
i.e. v 
2
 dv= 
M
P
​ 
 vdt= 
M
P
​ 
 dS
Integrating ∫ 
u
v
​ 
 v 
2
 dv= 
M
P
​ 
 ∫ 
0
S
​ 
 dS
v 
3
 −u 
3
 = 
M
3PS
​ 
 
or v=( 
M
3PS
​ 
 +u 
3
 ) 
1/3

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