Three carts A, B and C in Figure I shown below are situated on a frictionless horizontal surface and connected by light strings. They have masses 2.1 kg, 3.3 kg and 5.2 kg respectively. A force F, which is equal to 60.0 N, is applied to cart C. Find the acceleration of the system and the tensions in each cable. A B T₂ [ F

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Three carts A, B, and C shown in Figure 1 are situated on a frictionless horizontal surface and connected by light strings. They have masses of 2.1 kg, 3.3 kg, and 5.2 kg respectively. A force \( F \), equal to 60.0 N, is applied to cart C. Find the acceleration of the system and the tensions in each cable.

**Diagram Explanation:**

- **Cart A:** The first cart is labeled "A" and has the smallest mass.
- **Cart B:** The second cart is labeled "B."
- **Cart C:** The third cart is labeled "C" and has the largest mass.
- **Connections:** Carts A and B are connected by a string with tension \( T_1 \), and carts B and C are connected by a string with tension \( T_2 \).
- **Force:** A force \( F \) acts on cart C, pointing to the right. 

The task is to calculate the acceleration of the system and the tensions \( T_1 \) and \( T_2 \) in the strings connecting the carts.
Transcribed Image Text:Three carts A, B, and C shown in Figure 1 are situated on a frictionless horizontal surface and connected by light strings. They have masses of 2.1 kg, 3.3 kg, and 5.2 kg respectively. A force \( F \), equal to 60.0 N, is applied to cart C. Find the acceleration of the system and the tensions in each cable. **Diagram Explanation:** - **Cart A:** The first cart is labeled "A" and has the smallest mass. - **Cart B:** The second cart is labeled "B." - **Cart C:** The third cart is labeled "C" and has the largest mass. - **Connections:** Carts A and B are connected by a string with tension \( T_1 \), and carts B and C are connected by a string with tension \( T_2 \). - **Force:** A force \( F \) acts on cart C, pointing to the right. The task is to calculate the acceleration of the system and the tensions \( T_1 \) and \( T_2 \) in the strings connecting the carts.
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