FísicaBásico1 respuestas

Desde 500m de altura se deja caer libremente un cuerpo?

Desde 500m de altura se deja caer libremente un cuerpo. Calcular cuanto tarda en recorrer los 100m finales.

En resumen

Para el desarrollo del problema usare 2 formulas : <img src="https://tex.z-dn.net/?

Mejor respuesta

Maryj
8

Para el desarrollo del problema usare 2 formulas :

<img src="https://tex.z-dn.net/?f=e%3Dv_it%2B%5Cfrac%7B1%7D%7B2%7Dat%5E2%5C%5C%20v_f%3Dv_i%2Bat%5C%5C%20v_i%3D0%5C%5C%20t_%7B400m%7D%3D%3F%5C%5C%20v_%7B400m%7D%3D%3F%5C%5C%20400m%3Dv_it_%7B400m%7D%2B%5Cfrac%7B1%7D%7B2%7Dg%28t_%7B400m%7D%29%5E2%5C%5C%20400m%3D%280%29t_%7B400m%7D%2B%5Cfrac%7B1%7D%7B2%7Dg%28t_%7B400m%7D%29%5E2%5C%5C%20400m%3D%5Cfrac%7B1%7D%7B2%7D%2810%5Cfrac%7Bm%7D%7Bs%5E2%7D%29%28t_%7B400m%7D%29%5E2%5C%5C%20%5Cfrac%7B400m%2A2s%5E2%7D%7B10m%7D%3D%28t_%7B400m%7D%29%5E2%5C%5C%20%5Cfrac%7B400%2A2s%5E2%7D%7B10%7D%3D%28t_%7B400m%7D%29%5E2%5C%5C%2080s%5E2%3D%28t_%7B400m%7D%29%5E2%5C%5C%20t_%7B400m%7D%3D%5Csqrt%7B80s%5E2%7D%5C%5C%20t_%7B400m%7D%3D%5Csqrt%7B4%5E2%2A5s%5E2%7D%5C%5C%20t_%7B400m%7D%3D4%5Csqrt%7B5%7Ds%5C%5C%20%5C%5C" />

ya tenemos el tiempo que tarda en llegar aavanzar los primeros 400m, ahora calcularemos la velocidad despues de caer 400

<img src="https://tex.z-dn.net/?f=v_%7B400m%7D%3Dv_i%2Bgt%5C%5C%20v_%7B400m%7D%3D0%2B%2810%5Cfrac%7Bm%7D%7Bs%5E2%7D%29t_%7B400m%7D%5C%5C%20v_%7B400m%7D%3D%2810%5Cfrac%7Bm%7D%7Bs%5E2%7D%29%284%5Csqrt%7B5%7Ds%29%5C%5C%20v_%7B400m%7D%3D%2810%29%284%5Csqrt%7B5%7D%29%5Cfrac%7Bm%7D%7Bs%7D%3D40%5Csqrt%7B5%7D%5Cfrac%7Bm%7D%7Bs%7D%5C%5C%20" />

Hora podemos calcular el tiempo usando la primera formula.

<img src="https://tex.z-dn.net/?f=v_%7B400m%7D%3D40%5Csqrt%7B5%7D%5Cfrac%7Bm%7D%7Bs%7D%5C%5C%20e_%7B100m%7D%3Dv_%7B400m%7Dt%2B%5Cfrac%7B1%7D%7B2%7Dgt%5E2%5C%5C%20100m%3D%2840%5Csqrt%7B5%7D%5Cfrac%7Bm%7D%7Bs%7D%29t%2B%5Cfrac%7B1%7D%7B2%7D%2810%5Cfrac%7Bm%7D%7Bs%5E2%7D%29t%5E2%5C%5C%20%5C%5C%20dividimos%5C%20todo%5C%20entre%5C%2010%5C%5C%2010%3D%284%5Csqrt%7B5%7D%29t%2B%5Cfrac%7B1%7D%7B2%7Dt%5E2%5C%5C%2020%3D%288%5Csqrt%7B5%7D%29t%2Bt%5E2%5C%5C%20t%5E2%2B%288%5Csqrt%7B5%7D%29t-20%3D0%5C%5C%20Formula%5C%20general%5C%20t%3D%5Cfrac%7B-%288%5Csqrt%7B5%7D%29%2B%2F-%5Csqrt%7B%288%5Csqrt%7B5%7D%29%5E2-4%2A1%2A%28-20%29%7D%7D%7B2%2A1%7D%5C%5C%20t%3D%5Cfrac%7B-%288%5Csqrt%7B5%7D%29%2B%2F-%5Csqrt%7B%2864%2A5%29%2B80%7D%7D%7B2%7D%5C%5C%20t%3D%5Cfrac%7B-%288%5Csqrt%7B5%7D%29%2B%2F-%5Csqrt%7B400%7D%7D%7B2%7D%5C%5C%20t%3D%5Cfrac%7B-%288%5Csqrt%7B5%7D%29%2B%2F-20%7D%7B2%7D%5C%5C%20t_1%3D%5Cfrac%7B-%288%5Csqrt%7B5%7D%29%2B20%7D%7B2%7D%3D-4%5Csqrt%7B5%7D%2B10%5Capprox1%2C056s%5C%5C" />

si os ha servido, no olvidéis agradecer.

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