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Question

A car is going at a speed of 6 m/s when it encounters a 15 m slope of angle 30. The friction coefficient between the road and tyre is 0.5. The minimum speed of car with which it can reach the bottom is (g=10 m/s2)

  1. 4 m/s
  2. 3 m/s
  3. 7.49 m/s
  4. 8.45 m/s


Solution

The correct option is C 7.49 m/s
Acceleration of car along slope
=gsinθμgcosθ
=1012(0.5)(10)(32)=54.33
=0.67 ms2
Now from v2=u2+2as
v=62+2(0.67)(15)
=36+20.1=56.1
=7.49 ms1

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