Question

identify if the forces are balanced or unbalanced.
a aki accelerating while riding his scooter down a hill.
b nikole leaning against building.
c aki and nikole arm wrestling and nikole won.
d aki and logan moving a crate from a resting position.
e aki pushing the crate but it not moving.

Explanation:

• A: When Aki is accelerating while riding his scooter down a hill, his velocity is changing. According to Newton's first law, an object's velocity changes when there is an unbalanced force acting on it. So, the forces are unbalanced.
• B: When Nikole is leaning against a building, she is in a state of rest. In a state of rest (equilibrium), the forces acting on an object (in this case, Nikole's weight and the normal force from the building) are balanced.
• C: When Aki and Nikole are arm - wrestling and Nikole wins, there is a net force in the direction of Nikole's push. Since there is a change in the state of motion (the arm moves towards Nikole's side), the forces are unbalanced.
• D: When Aki and Logan are moving a crate from a resting position, they are causing a change in the crate's state of motion (from rest to motion). A change in state of motion implies an unbalanced force.
• E: When Aki is pushing the crate but it is not moving, the applied force by Aki is balanced by the frictional force (static friction) acting on the crate. So, the forces are balanced.
• For the force diagrams:
• If the sum of forces in a particular direction is non - zero (e.g., in the diagram with \(2N + 14N\) acting in one direction and no opposing force of equal magnitude shown in the opposite direction for the first force - diagram - like row), the forces are unbalanced.
• If the forces in opposite directions are equal (e.g., \(15N\) vs \(15N\) in one of the force - diagram - like rows), the forces are balanced.

Answer:

A. Unbalanced, B. Balanced, C. Unbalanced, D. Unbalanced, E. Balanced. For the force - diagram - like rows (assuming they are in order): Unbalanced, Balanced, Unbalanced, Unbalanced, Balanced.