Given: G = 6.67259 × 1011 N m2 /kg2 After a supernova explosion, a star may unde

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 weight of a 53.8 kg person at its surface. Answer in units of N.

Explanation / Answer

G = 6.67259 * 1011 N m2 /kg2 , M =1.7*10^30 kg, R = 4.8 km

g = GM/R^2 = (6.67259*10^-11*1.7*10^30)/(4.8*1000)^2

g =4.9*10^12 m/s^2

m = 53.8 kg

w = mg = 53.8*4.9*10^12

w = 2.64*10^14 N

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