Calculate value of the force and the tension in the coupling between the car and caravan in the following case:  A car of mass 1000 kg tows a caravan of mass 800 kg and the two have an...

Calculate value of the force and the tension in the coupling between the car and caravan in the following case:

 

A car of mass 1000 kg tows a caravan of mass 800 kg and the two have an acceleration of  2 m/s^2 when an external force acts between the wheels of the car and the road.

Asked on by apramey

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justaguide's profile pic

justaguide | College Teacher | (Level 2) Distinguished Educator

Posted on

A car of mass 1000 kg tows a caravan of mass 800 kg and the two have an acceleration of  2 m/s^2. The acceleration is the result of the force between the wheels of the car and the road.

The total mass that is being accelerated due to the force is (1000 + 800) = 1800 kg. The acceleration is of 2 m/s^2. The force required for this is 1800*2 = 3600 N.

The coupling between the car and the caravan with which the caravan is being pulled has a tension of 800*2 = 1600 N

najm1947's profile pic

najm1947 | Elementary School Teacher | (Level 1) Valedictorian

Posted on

The external force between the driving wheel and road is equal to the total mass time acceleration.

Total force = (1000+800)*2 = 3600 N

The tension in coupling is equal to the force accelerating the caravan and is equal to 800*2 = 1600 N

Thus

The external force is equal to 3600 N

Tension in coupling between car and caravan is 1600 N

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