How many kilometers above the Earth's surface must you travel for your weight to decrease to 49% of its value at the surface, according to Newton's Law of Gravity?

Start by recalling Newton's Law of Universal Gravitation, which states that the gravitational force \( F \) between two masses \( m_1 \) and \( m_2 \) is given by \( F = \frac{G \cdot m_1 \cdot m_2}{r^2} \), where \( G \) is the gravitational constant and \( r \) is the distance between the centers of the two masses.