A sled is set in motion on a frozen lake.

If friction and air resistance are neglible, how much force is required to keep the sled moving at a velocity of 12 m/s?

To find the force required to keep the sled moving at a velocity of 12 m/s, we need to apply Newton's second law of motion, which states that force (F) is equal to mass (m) multiplied by acceleration (a). In this case, since velocity is constant, the acceleration is zero. Hence, the force required to keep the sled moving at a constant velocity of 12 m/s is zero.

Explanation:
Newton's second law of motion tells us that force is directly proportional to acceleration when mass is constant. Mathematically, it can be expressed as F = m * a, where F is the force, m is the mass, and a is the acceleration. In this case, when the sled is moving at a constant velocity of 12 m/s, acceleration is zero. This means that no net force is needed to maintain the sled's motion. As long as friction and air resistance are negligible, the sled will continue moving at a constant velocity without the need for any additional force.