Laws of MotionHard

Question

A car is going at speed of 6m/s when it encounters a 15 m slope of angle 300. The friction coefficient between the road and tyre is 0.5. The driver applies the brakes. The minimum speed of car with which it can reach the bottom is(g =10 m/s2)

Options

A.4 m/s
B.3 m/s
C.7.49 m/s
D.8.45 m/s

Solution

Acceleration  of car along slope
= g sin θ = μ g cos θ
= 10 × - (0.5)(10) = 5 - 4.33
= 0.67 ms-2
Now from v2  = u2 + 2as
v =
=
= 7.49 ms-1

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