Problems 42 through 52 describe a situation. For each, draw a motion diagram, a force-identification diagram, and a free-body diagram.
You’ve slammed on the brakes and your car is skidding to a
stop while going down a hill.
The car is moving downwards of a hill that is slanted at an angle of The motion diagram states the velocity of the car till it stops while going down the hill. Also the free-body diagram represents all the forces acted on the car while moving.
* Consider the particle model for the diagram of the motion.
* Model the car as a dot and assume the mass of the car is concentrated into a single point.
* The hill is slanted at an angle of .
* The speed of the car is decreasing moving along downward the hill.
* The frame between the dots are decreasing as the speed of the car is decreasing due to the skidding of the car.
* The acceleration vector is directed opposite to the direction of motion.
Thus, the motion-diagram of the car is given below:
To identify the force acted on the car, we have to follow the given steps:
Thus, the force-identification diagram should be as follows:
The free body diagram is a pictorial representation of an object under some forces where the objects act as the particle and the forces acting on the object.
To draw a free-body diagram, we have to follow some steps as given below:
The car is slowing down as it moves downwards due to a net force acting parallel to the hill directed opposite of its motion as shown here:
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