Am, = 1.85-kg aluminum block and a m, = 7.45-kg copper block are connected by a light string over a frictionless pulley. The two blocks are allowed to move on a fixed steel block wedge (of angle 6 = 32.0°) as shown in the figure. (For aluminum on steel, = 0.61 and u = 0.47. For copper on steel, = 0.53 and u, = 0.36.) Aluminum Copper Steel (a) the acceleration of the two blocks 0.41 x m/s? (b) the tension in the string 927

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### Physics Problem: Connected Blocks on an Incline

**Problem Statement:**

An \( m_1 = 1.85 \, \text{kg} \) aluminum block and an \( m_2 = 7.45 \, \text{kg} \) copper block are connected by a light string over a frictionless pulley. The two blocks are allowed to move on a fixed steel block wedge with an angle of incline \(\theta = 32.0^\circ\) as shown in the figure. The coefficients of static and kinetic friction are given as follows:
- For aluminum on steel: \( k_s = 0.61 \) and \( k_k = 0.47 \)
- For copper on steel: \( k_s = 0.53 \) and \( k_k = 0.36 \)

**Diagram Description:**

The diagram shows two blocks connected by a string over a pulley:
- The aluminum block (\(m_1\)) is on the incline, positioned towards the left on the steel wedge.
- The copper block (\(m_2\)) hangs vertically from the opposite side of the pulley.

**Tasks:**

(a) Calculate the acceleration of the two blocks.
- Given answer: \(0.31 \, \text{m/s}^2\)
- This was marked incorrect.

(b) Determine the tension in the string.
- Given answer: \(9.27 \, \text{N}\)
- This was also marked incorrect.

**Solution Approach:**

To solve this problem, one would typically:
1. Apply Newton's second law for both blocks.
2. Consider the forces acting on each block, including the gravitational force, normal force, tension in the string, and frictional forces.
3. Set up the equations of motion for both blocks and solve them simultaneously to find the acceleration and the tension. 

Pay attention to the distinctions between static and kinetic friction coefficients when considering the movement and impending motion of the blocks.
Transcribed Image Text:### Physics Problem: Connected Blocks on an Incline **Problem Statement:** An \( m_1 = 1.85 \, \text{kg} \) aluminum block and an \( m_2 = 7.45 \, \text{kg} \) copper block are connected by a light string over a frictionless pulley. The two blocks are allowed to move on a fixed steel block wedge with an angle of incline \(\theta = 32.0^\circ\) as shown in the figure. The coefficients of static and kinetic friction are given as follows: - For aluminum on steel: \( k_s = 0.61 \) and \( k_k = 0.47 \) - For copper on steel: \( k_s = 0.53 \) and \( k_k = 0.36 \) **Diagram Description:** The diagram shows two blocks connected by a string over a pulley: - The aluminum block (\(m_1\)) is on the incline, positioned towards the left on the steel wedge. - The copper block (\(m_2\)) hangs vertically from the opposite side of the pulley. **Tasks:** (a) Calculate the acceleration of the two blocks. - Given answer: \(0.31 \, \text{m/s}^2\) - This was marked incorrect. (b) Determine the tension in the string. - Given answer: \(9.27 \, \text{N}\) - This was also marked incorrect. **Solution Approach:** To solve this problem, one would typically: 1. Apply Newton's second law for both blocks. 2. Consider the forces acting on each block, including the gravitational force, normal force, tension in the string, and frictional forces. 3. Set up the equations of motion for both blocks and solve them simultaneously to find the acceleration and the tension. Pay attention to the distinctions between static and kinetic friction coefficients when considering the movement and impending motion of the blocks.
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