The two ropes in the diagram are used to lower a 255 kg piano 5.20 m from a window to the ground. what is the work (in J) done by gravity assuming that the local acceleration due to gravity is -9.80 m/s2? What is the work (in J) done by the first and the second rope?

College Physics
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Chapter1: Units, Trigonometry. And Vectors
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The two ropes in the diagram are used to lower a 255 kg piano 5.20 m from a window to the ground. what is the work (in J) done by gravity assuming that the local acceleration due to gravity is -9.80 m/s2? What is the work (in J) done by the first and the second rope? 

The image is a physics diagram depicting the forces acting on a piano supported by two ropes. The forces are represented by vectors, and the relevant angles are provided.

1. **Force Vectors**:
   - **\( \vec{T_1} \)**: A tension force with a magnitude of 1830 N, directed upwards to the left at an angle of 60° from the horizontal.
   - **\( \vec{T_2} \)**: A tension force with a magnitude of 1295 N, directed upwards to the right at an angle of 45° from the horizontal.
   - **\( \vec{F_G} \)**: The gravitational force acting downward with a magnitude of 2500 N.

2. **Angles**:
   - The angle formed by \( \vec{T_1} \) with the horizontal is 60°.
   - The angle formed by \( \vec{T_2} \) with the horizontal is 45°.

This diagram illustrates the equilibrium of forces, where the tensions in the ropes counteract the gravitational force acting on the piano.
Transcribed Image Text:The image is a physics diagram depicting the forces acting on a piano supported by two ropes. The forces are represented by vectors, and the relevant angles are provided. 1. **Force Vectors**: - **\( \vec{T_1} \)**: A tension force with a magnitude of 1830 N, directed upwards to the left at an angle of 60° from the horizontal. - **\( \vec{T_2} \)**: A tension force with a magnitude of 1295 N, directed upwards to the right at an angle of 45° from the horizontal. - **\( \vec{F_G} \)**: The gravitational force acting downward with a magnitude of 2500 N. 2. **Angles**: - The angle formed by \( \vec{T_1} \) with the horizontal is 60°. - The angle formed by \( \vec{T_2} \) with the horizontal is 45°. This diagram illustrates the equilibrium of forces, where the tensions in the ropes counteract the gravitational force acting on the piano.
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