Two children having a disagreement pull on a sled in opposite directions. One pulls witha force of 200 N east, the other with a force of 175 N west. A friction force of 10 Nexists between the sled and the surface. Determine the net force on the sled.
Question
Two children having a disagreement pull on a sled in opposite directions. One pulls witha force of 200 N east, the other with a force of 175 N west. A friction force of 10 Nexists between the sled and the surface. Determine the net force on the sled.
Solution
To determine the net force on the sled, we need to consider all the forces acting on it.
Step 1: Identify the forces We have three forces acting on the sled:
- The force of the first child pulling east (200 N)
- The force of the second child pulling west (175 N)
- The friction force acting against the motion (10 N)
Step 2: Determine the direction of the forces The friction force will act in the opposite direction to the net force of the two children pulling. Since the first child is pulling harder, the friction force will act to the west.
Step 3: Calculate the net force The net force is the vector sum of all the forces. In this case, we subtract the forces acting to the west from the forces acting to the east:
Net force = (Force of first child) - (Force of second child + Friction force) Net force = 200 N - (175 N + 10 N) Net force = 200 N - 185 N Net force = 15 N
So, the net force acting on the sled is 15 N to the east.
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