Certain neutron stars (extremely dense stars) are believed to be rotating at about 1.5 rev/s. If such a star has a radius of 16 km, what must be its minimum mass so that material on its surface remains in place during the rapid rotation?
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First finding out the gravitational acceleration which is given by .
omega^2 * R thus omega= 2*3.14*1.5 = 3*3.15 = 9.42
Thus g = 9.42*9.42*16000 = 1419782.4 m/s^2
Thus using the gravitational equation
g = GM/r^2
1419782.4* 16000*16000/ 6.67*10^-11 = M
363464294.4 *10^6/6.67*10^-11 = M
54492398*10^17 kg = M
')
omega^2 * R thus omega= 2*3.14*1.5 = 3*3.15 = 9.42
Thus g = 9.42*9.42*16000 = 1419782.4 m/s^2
Thus using the gravitational equation
g = GM/r^2
1419782.4* 16000*16000/ 6.67*10^-11 = M
363464294.4 *10^6/6.67*10^-11 = M
54492398*10^17 kg = M
')
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