Answer:
stone with lesser mass can not go far because of firm structure but football that has greatet mass can go farther because of the structure that makes it move further when a force was applied to it
Answer:
thw temperature of the male will be higher than that of the female.
All three choices are correct.
Answer:
a) La aceleración angular es: ![\alpha=2\: rad/s^{2}](https://tex.z-dn.net/?f=%5Calpha%3D2%5C%3A%20rad%2Fs%5E%7B2%7D)
b) El engranaje gira 125 radianes.
c) El engranaje hara aproximadamente 20 revoluciones.
Explanation:
a)
La aceleración angular se define como:
![\alpha=\frac{\Delta \omega}{\Delta t}](https://tex.z-dn.net/?f=%5Calpha%3D%5Cfrac%7B%5CDelta%20%5Comega%7D%7B%5CDelta%20t%7D)
Donde:
- Δω es la diferencia de velocidad angular (en otras palabras ω(final)-ω(inicial))
- Δt es el tiempo en el que occure el cambio de velocidad angular
![\alpha=\frac{35-25}{5}](https://tex.z-dn.net/?f=%5Calpha%3D%5Cfrac%7B35-25%7D%7B5%7D)
![\alpha=2\: rad/s^{2}](https://tex.z-dn.net/?f=%5Calpha%3D2%5C%3A%20rad%2Fs%5E%7B2%7D)
b)
El desplazamiento angular puede ser calculado usando la siguiente ecuación:
![\theta=\theta_{i}+\omega_{i}t+\frac{1}{2}\alpha t^{2}](https://tex.z-dn.net/?f=%5Ctheta%3D%5Ctheta_%7Bi%7D%2B%5Comega_%7Bi%7Dt%2B%5Cfrac%7B1%7D%7B2%7D%5Calpha%20t%5E%7B2%7D)
Aqui el angulo inicial es 0, por lo tanto.
![\theta=20(5)+\frac{1}{2}(2)(5)^{2}](https://tex.z-dn.net/?f=%5Ctheta%3D20%285%29%2B%5Cfrac%7B1%7D%7B2%7D%282%29%285%29%5E%7B2%7D)
![\theta=125\: rad](https://tex.z-dn.net/?f=%5Ctheta%3D125%5C%3A%20rad)
El engranaje gira 125 radianes.
c)
Lo que debemos hacer aquí es convertir radianes a revoluciones.
Recordemos que 2π rad = 1 rev
Entonces:
![\theta=125\: rad \times \frac{1\: rev}{2\pi\: rad}=19.89\: rev](https://tex.z-dn.net/?f=%5Ctheta%3D125%5C%3A%20rad%20%5Ctimes%20%5Cfrac%7B1%5C%3A%20rev%7D%7B2%5Cpi%5C%3A%20rad%7D%3D19.89%5C%3A%20rev)
Por lo tanto el engranaje hara aproximadamente 20 revoluciones.
Espero te haya sido de ayuda!
Answer:
![E=8.13\times 10^{12}\ J](https://tex.z-dn.net/?f=E%3D8.13%5Ctimes%2010%5E%7B12%7D%5C%20J)
Explanation:
Given that,
The mass of a Hubble Space Telescope, ![m_1=1.16\times 10^4\ kg](https://tex.z-dn.net/?f=m_1%3D1.16%5Ctimes%2010%5E4%5C%20kg)
It orbits the Earth at an altitude of ![5.68\times 10^5\ m](https://tex.z-dn.net/?f=5.68%5Ctimes%2010%5E5%5C%20m)
We need to find the potential energy the telescope at this location. The formula for potential energy is given by :
![E=\dfrac{Gm_1m_e}{r}](https://tex.z-dn.net/?f=E%3D%5Cdfrac%7BGm_1m_e%7D%7Br%7D)
Where
is the mass of Earth
Put all the values,
![E=\dfrac{6.67\times 10^{-11}\times 1.16\times 10^4\times 5.97\times 10^{24}}{5.68\times 10^5}\\\\E=8.13\times 10^{12}\ J](https://tex.z-dn.net/?f=E%3D%5Cdfrac%7B6.67%5Ctimes%2010%5E%7B-11%7D%5Ctimes%201.16%5Ctimes%2010%5E4%5Ctimes%205.97%5Ctimes%2010%5E%7B24%7D%7D%7B5.68%5Ctimes%2010%5E5%7D%5C%5C%5C%5CE%3D8.13%5Ctimes%2010%5E%7B12%7D%5C%20J)
So, the potential energy of the telescope is
.