Given: G = 6.67259 × 1011 N m2 /kg2 After a supernova explosion, a star may unde
ID: 1448548 • Letter: G
Question
Given: G = 6.67259 × 1011 N m2 /kg2 After a supernova explosion, a star may undergo a gravitational collapse to an extremely dense state known as a neutron star, in which all the electrons and protons are squeezed together to form neutrons. A neutron star having a mass of 1.7 × 1030 kg (about equal to that of the Sun) would have a radius of about 4.8 km. Find the free-fall acceleration at its surface. Answer in units of m/s 2 Find the energy required to remove a particle of mass 8.56 × 1028 kg from its surface to infinity. Answer in units of J.
Explanation / Answer
Free fall acc., g = G M / r^2
= (6.67 x 10^-11 x 1.7 x 10^30) / (4800)^2
= 4.93 x 10^12 m/s^2 ...........Ans
PE at surface = G M m / r
= - (6.67 x 10^-11 x 1.7 x 10^30 x 8.56 x 10^-28 ) / (4800)
= - 2.022 x 10^-11 J
to remove this , 2.022 x 10^-11 J required. ....Ans
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