friction
The friction between the tires and the road surface supplies the centripetal force needed for a car to turn a corner on a valid road. The tires grip the road and create a frictional force that acts towards the center of the turn, allowing the car to change direction.
When a car is turning a corner, it experiences an unbalanced force. This is because the centripetal force needed to keep the car moving in a curved path is not balanced by an equal and opposite force. The friction between the tires and the road provides the necessary centripetal force.
No steering wheel won't provide the centripetal only the friction between the tyre and road provides the necessary centripetal. Steering would simply turn the wheels of the car to the desired direction.
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If the speed of the centripetal force is doubled, the required centripetal force also doubles to keep the object moving in a circular path at that speed. The centripetal force needed is directly proportional to the square of the speed, so doubling the speed results in a quadrupling of the centripetal force required.
You can feel the centripetal force every time you are in a car, and that car goes around a corner. This force has to be taken into account by the driver; otherwise, there can be accidents. Most washing machines have an option for drying the laundry (partially), through an application of the centripetal force.
The gravitational force between Earth and the Sun provides the centripetal force needed to keep Earth in orbit. This force keeps Earth moving in a circular path around the Sun.
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The tension in the string provides the centripetal force needed to keep the stopper moving in a circle. This tension pulls the stopper towards the center of the circle, maintaining the circular motion.
The centripetal force required for a body in uniform circular motion is given by Fc = (mv^2) / r, where m is the mass, v is the velocity, and r is the radius of the circle. If the mass is doubled, the centripetal force needed will also double based on the equation.