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Newton's 1st law of motion: an object will continue on its course at the same speed and direction, if the net force acting on the object is zero.

Hence, if you don't apply any net force on the object, its direction and speed will not change (it will not move on a curved path). If you want the object to change direction, you need to apply a net force away from the direction of travel (the net force is pointing at a non-zero angle with the direction of travel).

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