By How Many Newtons Does the Weight of a 100-Kg $6.38 \times 10 ^ { 6 } \mathrm {~m}$

Multiple Choice

By how many newtons does the weight of a 100-kg person decrease when he goes from sea level to mountain top at an altitude of 5000 m? The mean radius of the earth is $6.38 \times 10 ^ { 6 } \mathrm {~m}$

A) 1.5 N
B) 0.60 N
C) 9.8 N
D) 3.6 N
E) 2.6 N