A) By speeding up the truck
B) By applying a brake
C) By slowing down the truck
D) By taking a circular turn
Correct Answer: B
Solution :
If the driver stops the truck by braking in a distance r then from work-energy theorem \[{{F}_{B}}\times r=\frac{1}{2}m{{v}^{2}}\] \[\Rightarrow \] \[{{F}_{B}}=\frac{m{{v}^{2}}}{2r}\] In second .case, if the driver takes a circular turn then force required will be \[{{F}_{T}}=\frac{m{{v}^{2}}}{r}\] Clearly \[{{F}_{T}}>{{F}_{B}}\] So, it is better to apply a brake in order to avoid crashing.
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