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Question

An automobile vehicle has a mass of 1500kg. What must be the force between the vehicle and the road if the vehicle is to be stopped with a negative acceleration of 1.7m/s2?


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Solution

Step 1: Given data:

In the question, it is given that the mass of an automobile is 1500kg which is deaccelerating with the acceleration of 1.7m/s2.

So, m=1500kg and a=-1.7m/s2

Step 2: Formula used:

We know that the formula of force is mass multiplied by acceleration, i.e. F=ma.

Step 3: Find the required force:

Therefore, the force F between the vehicle and the road is given by:

F=1500×-1.7F=-2550

The negative sign implies that the force is in the opposite direction of motion.

Therefore, the force between the vehicle and the road is -2550N.


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