A hole is drilled from the surface of Earth to its center. Ignore Earth's rotation and air resistance, and model Earth as auniform sphere. For the following answers, use g for theacceleration due to gravity, R_E for RE, andm, as necessary.)
(a) How much work is required to lift aparticle of mass m from the center of Earth to Earth'ssurface?
W = 1
(b) If the particle is dropped from rest at the surface of Earth, what is its speed when it reaches the center of Earth?
v = 2
(c) What is the escape speed for a particle projected from thecenter of Earth?
vesc = 3