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A pick-up truck with two passengers weighs about 14100 N. In good driving conditions around a curve, the maximum friction with the road is equal to the truck's weight. What is the minimum safe curve radius that the truck could negotiate at 26.2 m/s?

Respuesta :

Answer:

r=68.64 m

Step-by-step explanation:

Given that

Weight ,wt= 14100 N

mass m = 1410 kg             ( g = 10 m/s²)

Friction force = Weight

Fr= 14100 N

v= 26.2 m/s

Lets take radius of the curve =  r

To balance the truck ,radial force should be equal to the friction force

[tex]\dfrac{mv^2}{r}=Fr[/tex]

mv² = Fr x r

1410 x 26.2² = 14100 x r

r=68.64 m

Therefore radius of the curve will be 68.64 m

Answer - r=68.64 m

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