Michael ..

asked • 03/31/16

A car moving at 80km/h skids to 50m with locked brakes. How far will the...

A car moving at 80km/h skids to 50m with locked brakes. How far will the car skid with locked brakes if it is traveling at 160 km/h?

1 Expert Answer

By:

Raphael D. answered • 03/31/16

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Michael ..

Thank you Raphael for the answer. How do you solve this problem by calculation method?
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03/31/16

Raphael D.

well:
 
friction force is constant, say F ( depending on pavement quality and car's weight).
 
The work done by friction force would be
 
F*d (with d=50m)
 
Same time,
 
F*d=E_kin=mV^2/2
 
so,
 
d=mV^2/2/F ~ V^2
 
or,
 
d1/d2=(v1/v2)^2  , with d1=80m and d2 - unknown, also v2=80/km/hr and v2=160km/hr
 
 
d2=d1*(v2/v2)^2=50(m)*(160/80)^2=50(m)*4=200(m)
 
 
take care:)
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03/31/16

Michael ..

Thank you. You too, take care.
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03/31/16

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