(Originais Teachy 2023) - Question Medium of Physics

During a Physics class, the teacher explained to the students that escape velocity is the minimum speed required for an object to overcome the gravitational force of a planet and thus escape its attraction. Consider that a student wants to calculate Earth's escape velocity. For this, he has the following information: Earth's mass (M) is approximately 5.97 x 10^24 kg, and Earth's radius (R) is approximately 6,371 x 10^6 m; the gravitational constant (G) is 6.674 x 10^-11 N m²/kg². Find the gravitational force (F) exerted by Earth on an object of mass m on the Earth's surface in terms of M, R, G, and m. Using gravitational potential energy (U) and kinetic energy (K), write an equation that relates the energies involved when the object reaches escape velocity. Calculate Earth's escape velocity using the provided data and the equations found in the previous items.