Answer:
False
Explanation:
The tension in the chain must be equal to the frictional force acting on the car, not to its weight.
In fact, we have 4 forces acting on the car
- Its weight: downward
- The normal reaction of the road on the car: upward --> this force balances the weight, so the net force along the vertical direction is zero
- The tension in the chain: forward
- The frictional force between the road's surface and the tires of the car: backward
We can consider the horizontal motion only: we are said that the car is moving at constant velocity, so the horizontal acceleration is zero. According to Newton's second law:
[tex]\sum F = ma[/tex]
zero acceleration means that the resultant of the forces on the car is zero. But there are only 2 forces acting on the car in the horizontal direction: the tension in the chain (forward) and the frictional force (backward). Since their resultant must be zero, it means that the two forces must be equal and opposite: therefore, the tension in the chain must be equal to the frictional force.
The given statement that the tension in the chain must be equal to the weight of the car in order to maintain a constant velocity is false.
The given statement is false, as we know that the normal force that is been acting on the car is equal to the weight of the car, the frictional force is equal to the product of the normal force, and the static friction constant.
Therefore, when we equate all the horizontal forces,
Tension in the chain = frictional force applied on the car
Hence, the given statement that the tension in the chain must be equal to the weight of the car in order to maintain a constant velocity is false.
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