Answer:
1/6 m/s^2 ( about 1/6th gravity of Earth ( 9.81 m/s^2)
Explanation:
Displacement = yo + vo t - 1/2 a t^2
- 3.2 = 0 + 0 - 1/2 a(2.0)^2
- 3.2 = -2a
a = 3.2 / 2 = 1.6 m/s^2
4. The core is where fusion occurs when Nuclear Thermal Fusion happens, which means the core is fusing hydrogen to create helium. This energy passes through both the convection and radiation zone. If you need any more help with this subject, I'll be able to help.
Answer:
![a = 5.83 \times 10^{-4} m/s^2](https://tex.z-dn.net/?f=a%20%3D%205.83%20%5Ctimes%2010%5E%7B-4%7D%20m%2Fs%5E2)
Explanation:
Since the system is in international space station
so here we can say that net force on the system is zero here
so Force by the astronaut on the space station = Force due to space station on boy
so here we know that
mass of boy = 70 kg
acceleration of boy = ![1.50 m/s^2](https://tex.z-dn.net/?f=1.50%20m%2Fs%5E2)
now we know that
![F = ma](https://tex.z-dn.net/?f=F%20%3D%20ma)
![F = 70(1.50) = 105 N](https://tex.z-dn.net/?f=F%20%3D%2070%281.50%29%20%3D%20105%20N)
now for the space station will be same as above force
![F = ma](https://tex.z-dn.net/?f=F%20%3D%20ma)
![105 = 1.8 \times 10^5 (a)](https://tex.z-dn.net/?f=105%20%3D%201.8%20%5Ctimes%2010%5E5%20%28a%29)
![a = \frac{105}{1.8 \times 10^5}](https://tex.z-dn.net/?f=a%20%3D%20%5Cfrac%7B105%7D%7B1.8%20%5Ctimes%2010%5E5%7D)
![a = 5.83 \times 10^{-4} m/s^2](https://tex.z-dn.net/?f=a%20%3D%205.83%20%5Ctimes%2010%5E%7B-4%7D%20m%2Fs%5E2)
Answer:
4,524,660 N
Explanation:
Assuming the submarine's density is uniform, 1/9th of the submarine's mass is equal to the mass of the displaced water.
m/9 = (1026 kg/m³) (50 m³)
m = 461,700 kg
mg = 4,524,660 N
With constant angular acceleration
, the disk achieves an angular velocity
at time
according to
![\omega=\alpha t](https://tex.z-dn.net/?f=%5Comega%3D%5Calpha%20t)
and angular displacement
according to
![\theta=\dfrac12\alpha t^2](https://tex.z-dn.net/?f=%5Ctheta%3D%5Cdfrac12%5Calpha%20t%5E2)
a. So after 1.00 s, having rotated 21.0 rad, it must have undergone an acceleration of
![21.0\,\mathrm{rad}=\dfrac12\alpha(1.00\,\mathrm s)^2\implies\alpha=42.0\dfrac{\rm rad}{\mathrm s^2}](https://tex.z-dn.net/?f=21.0%5C%2C%5Cmathrm%7Brad%7D%3D%5Cdfrac12%5Calpha%281.00%5C%2C%5Cmathrm%20s%29%5E2%5Cimplies%5Calpha%3D42.0%5Cdfrac%7B%5Crm%20rad%7D%7B%5Cmathrm%20s%5E2%7D)
b. Under constant acceleration, the average angular velocity is equivalent to
![\omega_{\rm avg}=\dfrac{\omega_f+\omega_i}2](https://tex.z-dn.net/?f=%5Comega_%7B%5Crm%20avg%7D%3D%5Cdfrac%7B%5Comega_f%2B%5Comega_i%7D2)
where
and
are the final and initial angular velocities, respectively. Then
![\omega_{\rm avg}=\dfrac{\left(42.0\frac{\rm rad}{\mathrm s^2}\right)(1.00\,\mathrm s)}2=42.0\dfrac{\rm rad}{\rm s}](https://tex.z-dn.net/?f=%5Comega_%7B%5Crm%20avg%7D%3D%5Cdfrac%7B%5Cleft%2842.0%5Cfrac%7B%5Crm%20rad%7D%7B%5Cmathrm%20s%5E2%7D%5Cright%29%281.00%5C%2C%5Cmathrm%20s%29%7D2%3D42.0%5Cdfrac%7B%5Crm%20rad%7D%7B%5Crm%20s%7D)
c. After 1.00 s, the disk has instantaneous angular velocity
![\omega=\left(42.0\dfrac{\rm rad}{\mathrm s^2}\right)(1.00\,\mathrm s)=42.0\dfrac{\rm rad}{\rm s}](https://tex.z-dn.net/?f=%5Comega%3D%5Cleft%2842.0%5Cdfrac%7B%5Crm%20rad%7D%7B%5Cmathrm%20s%5E2%7D%5Cright%29%281.00%5C%2C%5Cmathrm%20s%29%3D42.0%5Cdfrac%7B%5Crm%20rad%7D%7B%5Crm%20s%7D)
d. During the next 1.00 s, the disk will start moving with the angular velocity
equal to the one found in part (c). Ignoring the 21.0 rad it had rotated in the first 1.00 s interval, the disk will rotate by angle
according to
![\theta=\omega_0t+\dfrac12\alpha t^2](https://tex.z-dn.net/?f=%5Ctheta%3D%5Comega_0t%2B%5Cdfrac12%5Calpha%20t%5E2)
which would be equal to
![\theta=\left(42.0\dfrac{\rm rad}{\rm s}\right)(1.00\,\mathrm s)+\dfrac12\left(42.0\dfrac{\rm rad}{\mathrm s^2}\right)(1.00\,\mathrm s)^2=63.0\,\mathrm{rad}](https://tex.z-dn.net/?f=%5Ctheta%3D%5Cleft%2842.0%5Cdfrac%7B%5Crm%20rad%7D%7B%5Crm%20s%7D%5Cright%29%281.00%5C%2C%5Cmathrm%20s%29%2B%5Cdfrac12%5Cleft%2842.0%5Cdfrac%7B%5Crm%20rad%7D%7B%5Cmathrm%20s%5E2%7D%5Cright%29%281.00%5C%2C%5Cmathrm%20s%29%5E2%3D63.0%5C%2C%5Cmathrm%7Brad%7D)