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

Question

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

Quizplus · Accepted Answer

The weight decrease can be calculated using the formula for gravitational force: $ F = \frac{G \cdot m_1 \cdot m_2}{r^2} $. The change in weight is due to the change in distance from the Earth's center. At 5000 m, the weight decreases by approximately 1.5 N.

By How Many Newtons Does the Weight of a 100-Kg 6.38×106 m6.38 \times 10 ^ { 6 } \mathrm {~m}6.38×106 m

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