Respuestas
Respuesta:
1. M = 0,5 kg
H = 1,6 m
G = 9,8 m/s2
Ep =?
. Calculamos la energia potencial
2.Vox=60cos60=30
Voy=60sen60=51.96
x=Voxt=30t
y=Voyt-4.9t^2=51.96t - 4.9t^2
como t = T + 0.5
x=30 ( T + 0.5 ) = 30T + 15
y=51.96(T+0.5) - 4.9 (T+0.5)^2 =- 4.9T^2 + 47.06T + 24.755
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proyectil 2
x= 60cos@ T
y=60sen@ T - 4.9 T^2
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igualando x
30T + 15 = 60 cos @ T
cos@ = (30 T + 15 ) / (60 T)
igualando y
-4.9T^2 + 47.06T + 24.755 = 60sen@ T - 4.9 T^2
sen @ = (47.06 T + 24.755 )/ (60 T )
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como (sen@)^2 + (cos @)^2 = 1 se sustituye
[(47.06 T + 24.755 )/ (60 T )]^2 + [ (30 T + 15 ) / (60 T)]^2 = 1
(2214.64 T^2 + 2329.94 T + 612.81)/ 3600T^2 + (900T^2 + 900T + 225)/3600T^2 = 1
(2214.64 T^2 + 2329.94 T + 612.81 + 900T^2 + 900T + 225 ) = 3600T^2
- 485 T^2 + 3229.94 T + 837.81 = 0
por formula general se obtiene que
T=6.9047 segundos.
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sustituyendo en
cos@ = (30 T + 15 ) / (60 T)
cos@ = 0.5362
@=57.57°
x= 60cos@ T = (60 cos 57.57 )( 6.9047)=222.25 mts
y=60sen@ T - 4.9 T^2 = ( 60 sen57.57 )( 6.9074) - 4.9 (6.9074)^2 = 116.021 mts .
3. 10 x 1 sobre 100 = 0.1
2000(0.1)al cuadrado ÷ 2 = 10J
4. la cuatro no se :[
![](https://es-static.z-dn.net/files/dbd/705b14b8c178add027067a26b845e2c5.png)