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`        Show that the speed v reached by a car of mass m that is driven with constant powerP is given by                v = (3xplm)1/3,where x is the distance traveled from rest.`
2 years ago

downey zer
73 Points
```							P=F.vm(dv/dt)v=Pm(dv/ds)(ds/dt)v=Pm(dv/ds)v2=Pmv2dv=Pdsintegrate by putting limits v=0 to v and s=0 to s=xwe get v=(3xP/m)1/3hope that helps . please approve the answer if it did
```
2 years ago
abcde
21 Points
```							If the power is constant then the force on the car is given by F = P=v. But the force isrelated to the acceleration by F = ma and to the speed by F = mdvdt for motion in one dimension.ThenF = P/vv;mdvdt= Pv;mdxdtdvdx= Pv;mvdvdx= Pv;Z v0mv2dv =Z x0Pdx;13mv3 = Px:We can rearrange this nal expression to get v as a function of x, v = (3xP=m)1=3:
```
11 months ago
Utkarsh shrivastav
13 Points
```							Very easily question , rbu not able to sooner it , if not, them don't prepare for iit  , focus on boards
```
7 months ago
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### Course Features

• 110 Video Lectures
• Revision Notes
• Test paper with Video Solution
• Mind Map
• Study Planner
• NCERT Solutions
• Discussion Forum
• Previous Year Exam Questions