A 70 kilogram mountaineer is standing on the summit of Mt. Everest. The distance between the mountaineer and the center of Earth
is 6.39 × 106 meters. What is the magnitude of the force of gravity acting on the mountaineer? (The value of G is 6.673 × 10-11 newton meter2/kilogram2. The mass of Earth is 5.98 × 1024 kilograms.) 90.50 newtons
The force due to gravity between two point masses is given by: F = GMm/r²; where G is the gravitational constant, M is the larger mass, m is the smaller mass, and r is the distance between the two. F = (6.673 × 10⁻¹¹ × 5.98 × 10²⁴ × 70) / (6.39 × 10⁶)² F = 684.1 N
