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hichkok12 [17]
3 years ago
14

What is the maximum speed with which a 1200-kg car can round a turn of radius 90.0 m on a flat road if the coefficient of static

friction between tires and road is 0.70?
2. Is this result independent of the mass of the car?
Physics
2 answers:
KATRIN_1 [288]3 years ago
6 0

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

Readme [11.4K]3 years ago
6 0

Answer:

The value is v =  24.85 \ m/s

Yes

Explanation:

From the question we are told that

  The mass of the car is  m= 1200 \  kg

    The  radius  is r =  90 \ m

    The coefficient of static friction is  \mu_s  =  0.70

Generally at maximum speed the centripetal force acting on the car is equal to the friction force on the car

So

    F_c  =  F_f

        \frac{m v^2}{r}  =  \mu_s  * m * g

=>   v  =  \sqrt{\mu_s  *  g  * r }

=>   v  =  \sqrt{ 0.70  *  9.8   * 90 }

=>    v =  24.85 \ m/s

Yes the value is independent of the mass because from the equation above we see that v is independent of mass

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