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Find the maximum velocity for the overturn of a car moving on a circular track of radius 100 m. The co-efficient of friction between the road and tyre is 0.2

A. 0.14 m/s

B. 140 m/s

C. 1.4 km/s

D. 14 m/s

Answer: Option D

Solution(By Examveda Team)

14 m/s.


This Question Belongs to General Knowledge >> Physics

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Comments ( 8 )

  1. AMOO HABEEB
    AMOO HABEEB :
    1 year ago

    F=μR = mv²/r
    R=mg
    μmg=mv²/r
    μg=v²/r
    0.2 × 9.8 = v²/100
    v² = 196
    v = √196
    v = 14ms⁻¹

  2. Bukola Olufola
    Bukola Olufola :
    2 years ago

    Centrifugal force F= MV²/r
    Friction Fr=UR=UMg
    (R=Mg)
    F=Fr
    MV²/r=UMg
    (M is common so it will cancel out)
    V²/r=Ug
    g=10m/s² or 9.8m/s²
    V²/100=0.2×9.8
    Cross multiply
    V²=100×0.2×9.8
    V²=196
    V=√196
    V=14m/s
    V²/100=0.2×9.8

  3. Akshay Pasargi
    Akshay Pasargi :
    3 years ago

    MV²/R=fMg
    V²/R=fg
    V²=fgR=0.2 × 9.81 × 100 = 196
    V²=196
    V²=14²
    V=14

  4. Soustabh Paul
    Soustabh Paul :
    3 years ago

    Bhai how it came? 14m/s? Intuition ?

  5. Aditya Joseph
    Aditya Joseph :
    4 years ago

    CF-CENTRIFUGAL FORCE=(MV^2/R)
    FF-FRICTIONAL FORCE=(COEFFICENT OF FRICTION(COF) X MASS X ACCELARATION DUE TO GRAVITY)
    AS CF=FF
    V=SQRT(COF X R X 9.81)

  6. Mistu Deb
    Mistu Deb :
    6 years ago

    Please show the solution of this question

  7. Entertainment Ka
    Entertainment Ka :
    6 years ago

    For a car moving in a circular track, the necessary centripetal force is provided by the friction.
    Let the mass of car = m
    maximum velocity for over turn = v
    radius of track = 100m
    coefficient of friction = 0.2

    rac{mv^2}{r}=mu mg rac{v^2}{100}=0.2*9.8 v^2=100*0.2*9.8=196 v= sqrt{196}=oxed{14 m/s}

  8. Balaji Sc
    Balaji Sc :
    7 years ago

    Relavent formula

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