Numerical - Distance traveled by car on inclined plane

Q.  A car is driven on an inclined plane which stops at point B as brake is applied causing a braking force of 6000 N . What is the distance traveled by the car from point A to point B before it stops? (mass of the vehicle = 1000 kg)
- Published on 18 Sep 15

a. 119.27 m
b. 87.54 m
c. 80.12 m
d. Insufficient data

Discussion

• Sravanthi   -Posted on 15 Dec 15
Given: Braking force = 6000 N, mass of the vehicle = 1000 kg, velocity = 30 m/s

Formula: F = ma

Solution:

According to Newton's 2nd law, rate of change of linear momentum is directly proportional to impressed force.

1) Σ F = ma

- 6000 + mg sin θ = ma

substituting the given values,

a = (- 6000 + mg sin θ) / m

a = -5.145 m/s2

2) Using kinematic equation, v2 = u2 + 2as

0 = (30)2 + 2 x (- 5.145) x s

s = 900 / 10.29

s = 87.46 m

The distance traveled by the car from point A to point B before it stops is 87.46 m

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