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books/university-physics-D/Module-D6/.ipynb_checkpoints/problemsD6-checkpoint.ipynb
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{ | ||
"cells": [ | ||
{ | ||
"cell_type": "markdown", | ||
"metadata": {}, | ||
"source": [ | ||
"# C5.X Problems\n", | ||
"<hr style=\"height:2px;border-width:0;color:gray;background-color:gray\">" | ||
] | ||
}, | ||
{ | ||
"cell_type": "markdown", | ||
"metadata": {}, | ||
"source": [ | ||
"<h2>Problem C5.1</h2>\n", | ||
" </header>\n", | ||
"\n", | ||
"A car accelerates from rest at a constant rate of 3.0 m/s$^2$ for 10.0 seconds. Calculate its final velocity and the distance it travels during this time." | ||
] | ||
}, | ||
{ | ||
"cell_type": "code", | ||
"execution_count": null, | ||
"metadata": {}, | ||
"outputs": [], | ||
"source": [ | ||
"# DIY Cell" | ||
] | ||
}, | ||
{ | ||
"cell_type": "code", | ||
"execution_count": 3, | ||
"metadata": { | ||
"tags": [ | ||
"hide-input", | ||
"hide-output" | ||
] | ||
}, | ||
"outputs": [ | ||
{ | ||
"name": "stdout", | ||
"output_type": "stream", | ||
"text": [ | ||
"The final velocity is 30.0 m/s\n", | ||
" \n", | ||
"The distance traveled is 150.0 m\n" | ||
] | ||
} | ||
], | ||
"source": [ | ||
"%reset -f\n", | ||
"\n", | ||
"import numpy as np\n", | ||
"\n", | ||
"ax = 3.0\n", | ||
"t = 10.0\n", | ||
"v0x = 0.0\n", | ||
"\n", | ||
"vx = v0x + ax*t\n", | ||
"print('The final velocity is '+str(vx)+' m/s')\n", | ||
"\n", | ||
"dx = v0x*t + 0.5*ax*t**2\n", | ||
"d = np.abs(dx) #distance is the magnitude of displacement\n", | ||
"print(' ')\n", | ||
"print('The distance traveled is '+str(d)+' m')" | ||
] | ||
}, | ||
{ | ||
"cell_type": "markdown", | ||
"metadata": {}, | ||
"source": [ | ||
"<h2>Problem C5.2</h2>\n", | ||
" </header>\n", | ||
"\n", | ||
"A UVU rocket is launched vertically upward. After the engine burn-out the speed of the rocket is 740.0 m/s. How high above the burn-out altitude is the speed 120.0 m/s?" | ||
] | ||
}, | ||
{ | ||
"cell_type": "code", | ||
"execution_count": null, | ||
"metadata": {}, | ||
"outputs": [], | ||
"source": [ | ||
"# DIU Cell" | ||
] | ||
}, | ||
{ | ||
"cell_type": "code", | ||
"execution_count": 4, | ||
"metadata": { | ||
"tags": [ | ||
"hide-input", | ||
"hide-output" | ||
] | ||
}, | ||
"outputs": [ | ||
{ | ||
"name": "stdout", | ||
"output_type": "stream", | ||
"text": [ | ||
"Altitude above burn-out height is 27176.3506625892 m\n" | ||
] | ||
} | ||
], | ||
"source": [ | ||
"%reset -f\n", | ||
"\n", | ||
"import sympy as sym\n", | ||
"\n", | ||
"v1y = 740.0\n", | ||
"v2y = 120.0\n", | ||
"ay = -9.81\n", | ||
"\n", | ||
"dy = sym.Symbol('dy')\n", | ||
"\n", | ||
"eq = v2y**2 - v1y**2 - 2*ay*dy\n", | ||
"sol = sym.solve(eq,dy)\n", | ||
"\n", | ||
"print('Altitude above burn-out height is '+str(sol[0])+' m')" | ||
] | ||
}, | ||
{ | ||
"cell_type": "markdown", | ||
"metadata": {}, | ||
"source": [ | ||
"<hr style=\"height:2px;border-width:0;color:gray;background-color:gray\">" | ||
] | ||
} | ||
], | ||
"metadata": { | ||
"celltoolbar": "Tags", | ||
"kernelspec": { | ||
"display_name": "Python 3 (ipykernel)", | ||
"language": "python", | ||
"name": "python3" | ||
}, | ||
"language_info": { | ||
"codemirror_mode": { | ||
"name": "ipython", | ||
"version": 3 | ||
}, | ||
"file_extension": ".py", | ||
"mimetype": "text/x-python", | ||
"name": "python", | ||
"nbconvert_exporter": "python", | ||
"pygments_lexer": "ipython3", | ||
"version": "3.10.9" | ||
} | ||
}, | ||
"nbformat": 4, | ||
"nbformat_minor": 4 | ||
} |
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@@ -0,0 +1,152 @@ | ||
{ | ||
"cells": [ | ||
{ | ||
"cell_type": "markdown", | ||
"metadata": {}, | ||
"source": [ | ||
"# C5.X Problems\n", | ||
"<hr style=\"height:2px;border-width:0;color:gray;background-color:gray\">" | ||
] | ||
}, | ||
{ | ||
"cell_type": "markdown", | ||
"metadata": {}, | ||
"source": [ | ||
"<h2>Problem C5.1</h2>\n", | ||
" </header>\n", | ||
"\n", | ||
"A car accelerates from rest at a constant rate of 3.0 m/s$^2$ for 10.0 seconds. Calculate its final velocity and the distance it travels during this time." | ||
] | ||
}, | ||
{ | ||
"cell_type": "code", | ||
"execution_count": null, | ||
"metadata": {}, | ||
"outputs": [], | ||
"source": [ | ||
"# DIY Cell" | ||
] | ||
}, | ||
{ | ||
"cell_type": "code", | ||
"execution_count": 3, | ||
"metadata": { | ||
"tags": [ | ||
"hide-input", | ||
"hide-output" | ||
] | ||
}, | ||
"outputs": [ | ||
{ | ||
"name": "stdout", | ||
"output_type": "stream", | ||
"text": [ | ||
"The final velocity is 30.0 m/s\n", | ||
" \n", | ||
"The distance traveled is 150.0 m\n" | ||
] | ||
} | ||
], | ||
"source": [ | ||
"%reset -f\n", | ||
"\n", | ||
"import numpy as np\n", | ||
"\n", | ||
"ax = 3.0\n", | ||
"t = 10.0\n", | ||
"v0x = 0.0\n", | ||
"\n", | ||
"vx = v0x + ax*t\n", | ||
"print('The final velocity is '+str(vx)+' m/s')\n", | ||
"\n", | ||
"dx = v0x*t + 0.5*ax*t**2\n", | ||
"d = np.abs(dx) #distance is the magnitude of displacement\n", | ||
"print(' ')\n", | ||
"print('The distance traveled is '+str(d)+' m')" | ||
] | ||
}, | ||
{ | ||
"cell_type": "markdown", | ||
"metadata": {}, | ||
"source": [ | ||
"<h2>Problem C5.2</h2>\n", | ||
" </header>\n", | ||
"\n", | ||
"A UVU rocket is launched vertically upward. After the engine burn-out the speed of the rocket is 740.0 m/s. How high above the burn-out altitude is the speed 120.0 m/s?" | ||
] | ||
}, | ||
{ | ||
"cell_type": "code", | ||
"execution_count": null, | ||
"metadata": {}, | ||
"outputs": [], | ||
"source": [ | ||
"# DIU Cell" | ||
] | ||
}, | ||
{ | ||
"cell_type": "code", | ||
"execution_count": 4, | ||
"metadata": { | ||
"tags": [ | ||
"hide-input", | ||
"hide-output" | ||
] | ||
}, | ||
"outputs": [ | ||
{ | ||
"name": "stdout", | ||
"output_type": "stream", | ||
"text": [ | ||
"Altitude above burn-out height is 27176.3506625892 m\n" | ||
] | ||
} | ||
], | ||
"source": [ | ||
"%reset -f\n", | ||
"\n", | ||
"import sympy as sym\n", | ||
"\n", | ||
"v1y = 740.0\n", | ||
"v2y = 120.0\n", | ||
"ay = -9.81\n", | ||
"\n", | ||
"dy = sym.Symbol('dy')\n", | ||
"\n", | ||
"eq = v2y**2 - v1y**2 - 2*ay*dy\n", | ||
"sol = sym.solve(eq,dy)\n", | ||
"\n", | ||
"print('Altitude above burn-out height is '+str(sol[0])+' m')" | ||
] | ||
}, | ||
{ | ||
"cell_type": "markdown", | ||
"metadata": {}, | ||
"source": [ | ||
"<hr style=\"height:2px;border-width:0;color:gray;background-color:gray\">" | ||
] | ||
} | ||
], | ||
"metadata": { | ||
"celltoolbar": "Tags", | ||
"kernelspec": { | ||
"display_name": "Python 3 (ipykernel)", | ||
"language": "python", | ||
"name": "python3" | ||
}, | ||
"language_info": { | ||
"codemirror_mode": { | ||
"name": "ipython", | ||
"version": 3 | ||
}, | ||
"file_extension": ".py", | ||
"mimetype": "text/x-python", | ||
"name": "python", | ||
"nbconvert_exporter": "python", | ||
"pygments_lexer": "ipython3", | ||
"version": "3.10.9" | ||
} | ||
}, | ||
"nbformat": 4, | ||
"nbformat_minor": 4 | ||
} |
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