{ "version": 5, "graph": { "viewport": { "xmin": -640.4170222131186, "ymin": -972.9817222118318, "xmax": 2152.001909689061, "ymax": 954.8804585320268 } }, "expressions": { "list": [ { "type": "expression", "id": "2", "color": "#388c46", "latex": "W\\left(V\\right)=P_0\\left(V_0-\\frac{V}{1000000}\\right)\\ln\\left(\\frac{V_0}{V_0-\\frac{V}{1000000}}\\right)", "style": "SOLID" }, { "type": "expression", "id": "3", "color": "#fa7e19", "latex": "P_0=227527", "hidden": true, "sliderMax": "227527", "style": "SOLID" }, { "type": "expression", "id": "4", "color": "#6042a6", "latex": "V_0=0.002", "style": "SOLID" }, { "type": "expression", "id": "5", "color": "#000000", "latex": "f\\left(x\\right)=ax^2+bx+c", "style": "SOLID" }, { "type": "expression", "id": "6", "color": "#c74440", "latex": "a=-0.0001045", "hidden": true, "style": "SOLID" }, { "type": "expression", "id": "7", "color": "#2d70b3", "latex": "b=0.0993", "hidden": true, "style": "SOLID" }, { "type": "expression", "id": "8", "color": "#388c46", "latex": "c=27.6", "hidden": true, "sliderMax": "27.6", "style": "SOLID" }, { "type": "expression", "id": "9", "color": "#fa7e19", "latex": "m\\left(V\\right)=\\frac{V}{2000}+m_0", "hidden": true, "sliderMax": "100", "style": "SOLID" }, { "type": "expression", "id": "10", "color": "#6042a6", "latex": "m_0=\\frac{213.3}{1000}", "hidden": true, "sliderMax": "213.3", "style": "SOLID" }, { "type": "expression", "id": "11", "color": "#000000", "latex": "h\\left(V\\right)=\\frac{W\\left(V\\right)}{m\\left(V\\right)\\cdot g}", "hidden": true, "style": "SOLID" }, { "type": "expression", "id": "12", "color": "#c74440", "latex": "g=9.8", "hidden": true, "style": "SOLID" }, { "type": "expression", "id": "13", "color": "#2d70b3", "latex": "v\\left(V\\right)=\\sqrt{2\\left(\\frac{W\\left(V\\right)}{m\\left(V\\right)}-g\\cdot h\\left(V\\right)\\right)}", "hidden": true, "style": "SOLID" }, { "type": "expression", "id": "14", "color": "#388c46", "latex": "d\\left(V\\right)=\\frac{v\\left(V\\right)^2\\sin\\left(2t\\right)}{g}", "hidden": true, "style": "SOLID" }, { "type": "expression", "id": "17", "color": "#000000", "latex": "t=\\frac{\\pi}{4}", "hidden": true, "style": "SOLID" }, { "type": "expression", "id": "16", "color": "#6042a6", "style": "SOLID" } ] } }