Final answer:
When you steer a vehicle to the left, the vehicle leans to the right due to inertia, as the body inside the vehicle tends to maintain its straight-line motion. This effect is not because of a real force pushing the car left but due to an inertial force in the reference frame of the car. Therefore, the statement is false.
Step-by-step explanation:
When you steer a vehicle to the left or right, it will lean opposite to the direction of the turn. This effect occurs due to the centripetal force required to change the direction of the vehicle's motion. As described using Newton's first law (also known as the law of inertia), an object in motion will remain in its state of motion unless acted upon by an external force. When you take a turn, the car is that external force providing a centripetal force to change the direction.
In the car's frame of reference, the inertial force makes it seem like you're being pushed to the side opposite of the turn. For instance, if you turn right, the inertial force makes it feel like you're being pushed left relative to the car. However, in an Earth's frame of reference, the car is simply turning to the right, and there is no real force pushing you leftward relative to the Earth. Instead, it's the body's tendency to maintain its straight-line motion while the vehicle turns around it that creates this sensation.
Answering the student's question directly: When you steer to the left, the vehicle doesn't actually lean to the left but rather, the opposite occurs. The vehicle leans to the right due to inertia. So the anaswer to the question is False.