Dynamics of a particle moving in a straight line question

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SUMMARY

The discussion centers on the dynamics of a car towing a trailer, specifically analyzing the forces at play when the car decelerates due to braking. The car, with a mass of 900 kg, tows a 300 kg trailer and experiences a braking force of 2400 N when traveling at 20 m/s. Key calculations include determining the deceleration of the car, the force in the tow-bar, and the distance traveled before coming to a stop. The conversation highlights that the force in the tow-bar acts as compression rather than tension, maintaining the distance between the car and trailer during deceleration.

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synkk
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A car of mass 900 kg is towing a trailer of mass 300 kg along a straight horizontal road. The car and the trailer are connected by a light inextensible tow-bar and when the speed of the car is 20m s−1the brakes are applied. This produces a braking force of 2400 N. Find

a the deceleration of the car,

b the magnitude of the force in the tow-bar,

c the distance traveled by the car before it stops.

eqbc42.png


Could anyone explain to me why the tension of the car and trailer is against them? Is it because the car is decelerating?
 
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hi synkk! :smile:
synkk said:
ould anyone explain to me why the tension of the car and trailer is against them? Is it because the car is decelerating?

yes

T is actually compression rather than tension (it pushes outward)

if the towbar was a rope, then the car would decelerate but the trailer would carry on at the original speed, so they would get closer

since that isn't happening, the towbar must be keeping them apart, so the force in it must be compression (outward) :wink:
 
tiny-tim said:
hi synkk! :smile:


yes

T is actually compression rather than tension (it pushes outward)

if the towbar was a rope, then the car would decelerate but the trailer would carry on at the original speed, so they would get closer

since that isn't happening, the towbar must be keeping them apart, so the force in it must be compression (outward) :wink:

fast reply, thanks.
 

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