Answer:
78.6m/s
Explanation:
We know that frictional force also contributes to the centripetal force that keeps the car in circular motion in the turn
And is given as
F= mv²/r
But the frictional force is
F= ugm
= = 0.7*1200*9.8= 8232N
To find maximum velocity v we say
V= √F x r/m
= √ 8232* 90 /1200
= 78.6m/s
2. Yes it is independent of mass of car
Answer:
The value is [tex]v = 24.85 \ m/s[/tex]
Yes
Explanation:
From the question we are told that
The mass of the car is [tex]m= 1200 \ kg[/tex]
The radius is [tex]r = 90 \ m[/tex]
The coefficient of static friction is [tex]\mu_s = 0.70[/tex]
Generally at maximum speed the centripetal force acting on the car is equal to the friction force on the car
So
[tex]F_c = F_f[/tex]
[tex]\frac{m v^2}{r} = \mu_s * m * g[/tex]
=> [tex]v = \sqrt{\mu_s * g * r }[/tex]
=> [tex]v = \sqrt{ 0.70 * 9.8 * 90 }[/tex]
=> [tex]v = 24.85 \ m/s[/tex]
Yes the value is independent of the mass because from the equation above we see that v is independent of mass
