Answer:
[tex]F = 3.514 * 10^{19}N[/tex]
Explanation:
We know that torque exerted by superman is given by:
[tex]T = F_s * R_t = I_t * \alpha_t[/tex] where It is earth's inertia, and αt is earth acceleration.
The inertia of a solid sphere is calculated as:
[tex]I_t = \frac{2}{5}*m_t*R_t^2[/tex]
Earth's acceleration is:
[tex]\omega_f = \omega_o + \alpha_t * t[/tex]
Where t is the lapse of 1 year. t = 365*24*3600 = 31536000s
[tex]\omega_f = 0[/tex] [tex]\omega_o = \frac{2*\pi}{24h * 3600s/h}[/tex]
Solving for the acceleration and replacing the values:
[tex]\alpha_t = \frac{\omega_f - \omega_o}{t}[/tex] Replacing this value on the torque equation:
[tex]F_s = \frac{2}{5} m_t * R_t*\frac{2\pi}{365*(24*3600)^2} =3.514*10^{19}N[/tex]
