Dynamics of a particle moving in a straight line question

In summary, a car of mass 900 kg is towing a trailer of mass 300 kg and has a speed of 20m/s when the brakes are applied with a force of 2400 N. The deceleration of the car is 2.667 m/s^2, the magnitude of the force in the tow-bar is 2400 N, and the distance traveled by the car before stopping is 20.01 m. The tension in the tow-bar is actually compression, pushing outward to keep the car and trailer apart and prevent them from colliding.
  • #1
synkk
216
0
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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  • #2
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:
 
  • #3
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.
 

1. What is the definition of "dynamics of a particle moving in a straight line"?

Dynamics of a particle moving in a straight line refers to the study of the motion of a particle along a single axis, without considering any external forces or constraints.

2. How is the position of a particle on a straight line represented mathematically?

The position of a particle on a straight line is represented by the variable x, which denotes the distance of the particle from a chosen reference point.

3. What is the difference between speed and velocity in the context of a particle moving in a straight line?

Speed is the rate of change of distance over time, while velocity is the rate of change of displacement over time. In other words, speed only considers the magnitude of the movement, while velocity also takes into account the direction of the movement.

4. How does acceleration affect the motion of a particle in a straight line?

Acceleration is the rate of change of velocity over time. It can either speed up or slow down the motion of a particle, depending on whether it is positive or negative. A positive acceleration will result in an increase in speed, while a negative acceleration will result in a decrease in speed.

5. Can a particle moving in a straight line change its direction of motion?

No, a particle moving in a straight line will continue to move in the same direction unless acted upon by an external force. This is because there is only one axis of motion in a straight line, and changing direction would require movement along another axis.

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