Final answer:
The 20 kg sled, pulled with a 60 N tension force at a 30° angle, experiences an acceleration of approximately 2.15 m/s². Factoring in gravitational and frictional forces, the net force is 43.01 N. Newton's second law applied to determine acceleration reveals the sled's motion dynamics under these conditions.
Step-by-step explanation:
The acceleration of the 20 kg sled, pulled by a child with a 60 N tension force at a 30° angle to the ground, is approximately 2.15 m/s². Calculated by considering the gravitational force component perpendicular to the surface, the normal force is determined as 169.91 N. The force of friction, influenced by a friction coefficient of 0.1, is found to be approximately 16.99 N. Subtracting the frictional force from the tension force yields a net force of 43.01 N. Applying Newton's second law, the acceleration is computed by dividing the net force by the sled's mass, resulting in an approximate acceleration of 2.15 m/s². This analysis illuminates the dynamics of forces acting on the sled and provides insight into its motion under the given conditions.