Chapter 2, Problem 55AP

### College Physics

11th Edition
Raymond A. Serway + 1 other
ISBN: 9781305952300

Chapter
Section

### College Physics

11th Edition
Raymond A. Serway + 1 other
ISBN: 9781305952300
Textbook Problem

# A truck tractor pulls two trailers, one behind the other, at a constant speed of 1.00 × 102 km/h. It takes 0.600 s for the big rig to completely pass onto a bridge 4.00 × 102 m long. For what duration of time is all or part of the truck-trailer combination on the bridge?

To determine
The duration at which the truck-trailer combination is on the bridge.

Explanation

Given Info:

The velocity of the rig is 100â€‰km/h .

The length of the bridge is 400â€‰m .

The time taken is 0.600â€‰s .

The formula used to calculate length of the rig is,

Lrig=vt

• Lrig is the length of the rig
• v is the velocity of the rig
• t is the time taken for the rig to pass completely on to the bridge

Substitute 100â€‰km/h for v and 0.600â€‰s for t to find Lrig .

Lrig=((100â€‰km/h)(0.278â€‰m/s1â€‰km/h))(0.600â€‰s)=16.7â€‰m

Thus, the length of the rig is 16.7â€‰m .

The formula used to calculate the distance covered by the bumper is,

Î”x=Lrig+Lbridge

• Lbridge is the length of the bridge
• Î”x is the distance covered by the bumper

Substitute 400â€‰m for Lbridge and 16

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