Figure 0Q5.3 The driver of a speeding truck slams on the brakes and skids to a s

Question

Figure 0Q5.3 The driver of a speeding truck slams on the brakes and skids to a stop through a distance d. On another trial, the initial speed of the truck is half as large. What now will be the truck's skidding distance? (a) 2d (b) root 2d (c) d (d) d/2 (e) d/4 5. An experiment is performed on a puck on a lens, air hockey table, where friction is negligible. A constant horizontal force is applied to the puck. and the puck's acceleration is measured. Now the same puck is transported far into outer space, where both friction and gravity are negligible. The same constant force is applied to the puck (through a spring scale that stretches the same amount), and the puck's acceleration (relative to the distant stars) is measured. What is the puck's acceleration in outer space?

Explanation / Answer

Skidding distance = d

Applying kinematic equation , v^2 = 2 a d , where v = speed of truck before applying brakes

d = v^2 / 2a

New trail , Here speed = v/2

New skidding distance = (v/2)^2 / 2a = v^2 / 8a = d / 4

Answer : Trucks Skidding distance = d / 4

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