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

A33.1 g copper object is launched from a 1.5 m 30° steel incline positioned on the floor by being pulled up a string attached to a 50.0 g mass suspended vertically over a pulley. the object is projected towards a glass table where it lands when it is at the point along its trajectory with the lowest speed. it comes to a halt when it clears the opposite edge of the table. it then falls and lands on 9 physics texts each 5 cm thick that are stacked on the floor on the opposite side of the table. assume that the table does not have a ledge and the rectangular object experiences 0.05 n of air resistance as it falls towards the books. how far and how long did the object travel and how fast does it hit the books. assume that at the moment the copper object leaves the incline, the massless string and ideal pulley break off

You carry a 7.0-kg bag of groceries 1.2 m above the ground at constant speed across a 2.7m room. how much work do you do on the bag in the process? (a) 157j (b) 0.00j (c) 185j (d) 82j

The period of a pendulum varies directly as the square root of the length of the pendulum and inversely as the square root of the acceleration due to gravity. find the period when the length is 144 cm and the acceleration due to gravity is 980 cm per second squared, if the period is 7pi seconds when the length is 289 cm and the acceleration due to gravity is 980 cm per second squared.