All of the blocks shown below are intially at rest on a smooth surface. Two applied forces act on each object as shown. Assume the positive direction is to the right. Select the case(s) in which the object accelerates in the negative direction. F₂=6N F₂=8N m=4 kg D m=4 kg A.A and B B.C and F C.D and E D.A, B, C, and D E. none of the above F₁=8N =6N F₂=6N F₂=8N B m= 2 kg E m= 2 kg F₁=8N F₁=6N F₁=10N F₂=10N m= 2 kg F m= 4 kg ION F₁=10N

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The image shows six scenarios (A, B, C, D, E, F) where different blocks are subjected to two opposing forces on a smooth surface. Each situation provides the mass of the block and the magnitudes of the two forces, \( F_1 \) and \( F_2 \), acting on each block. The positive direction is defined as to the right.

Below is a detailed description of each case:

- **Case A**: Block with mass \( m = 4 \, \text{kg} \) experiences \( F_2 = 6 \, \text{N} \) to the left and \( F_1 = 8 \, \text{N} \) to the right.

- **Case B**: Block with mass \( m = 2 \, \text{kg} \) experiences \( F_2 = 6 \, \text{N} \) to the left and \( F_1 = 8 \, \text{N} \) to the right.

- **Case C**: Block with mass \( m = 2 \, \text{kg} \) experiences \( F_2 = 10 \, \text{N} \) to the left and \( F_1 = 10 \, \text{N} \) to the right.

- **Case D**: Block with mass \( m = 4 \, \text{kg} \) experiences \( F_2 = 8 \, \text{N} \) to the left and \( F_1 = 6 \, \text{N} \) to the right.

- **Case E**: Block with mass \( m = 2 \, \text{kg} \) experiences \( F_2 = 8 \, \text{N} \) to the left and \( F_1 = 6 \, \text{N} \) to the right.

- **Case F**: Block with mass \( m = 4 \, \text{kg} \) experiences \( F_2 = 10 \, \text{N} \) to the left and \( F_1 = 10 \, \text{N} \) to the right.

The task is to identify which case(s) result in the object accelerating in the negative direction (to the left).

- Possible answers:
  - A
Transcribed Image Text:The image shows six scenarios (A, B, C, D, E, F) where different blocks are subjected to two opposing forces on a smooth surface. Each situation provides the mass of the block and the magnitudes of the two forces, \( F_1 \) and \( F_2 \), acting on each block. The positive direction is defined as to the right. Below is a detailed description of each case: - **Case A**: Block with mass \( m = 4 \, \text{kg} \) experiences \( F_2 = 6 \, \text{N} \) to the left and \( F_1 = 8 \, \text{N} \) to the right. - **Case B**: Block with mass \( m = 2 \, \text{kg} \) experiences \( F_2 = 6 \, \text{N} \) to the left and \( F_1 = 8 \, \text{N} \) to the right. - **Case C**: Block with mass \( m = 2 \, \text{kg} \) experiences \( F_2 = 10 \, \text{N} \) to the left and \( F_1 = 10 \, \text{N} \) to the right. - **Case D**: Block with mass \( m = 4 \, \text{kg} \) experiences \( F_2 = 8 \, \text{N} \) to the left and \( F_1 = 6 \, \text{N} \) to the right. - **Case E**: Block with mass \( m = 2 \, \text{kg} \) experiences \( F_2 = 8 \, \text{N} \) to the left and \( F_1 = 6 \, \text{N} \) to the right. - **Case F**: Block with mass \( m = 4 \, \text{kg} \) experiences \( F_2 = 10 \, \text{N} \) to the left and \( F_1 = 10 \, \text{N} \) to the right. The task is to identify which case(s) result in the object accelerating in the negative direction (to the left). - Possible answers: - A
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