Plz ! the correct answer gets brainleast! which would roll down a slanted desktop more quickly, a ballpoint pen full of ink or a ballpoint pen after it has run out of ink? (note: assume that the total mass of an object does not affect the rate at which it rolls.) a. the pen full of ink will always win the race. b. the empty pen will always win the race. c. the empty pen will win if the incline is steep, and the full pen will win if the incline is gentle. d. the full pen will win if the incline is steep, and the empty pen will win if the incline is gentle.

The 5-kg cylinder is initially at rest when it is placed in contact with the wall b and the rotor at a. if the rotor always maintains a constant clockwise angular velocity v = 6 rad> s, determine the initial angular acceleration of the cylinder. the coefficient of kinetic friction at the contacting surfaces b and c is mk = 0.2.

A58-kg boy swings a baseball bat, which causes a 0.140-kg baseball to move toward third base with a velocity of 38.0 m/s.

Asilver dollar is dropped from the top of a building that is 1324 feet tall. use the position function below for free-falling objects. s(t) = −16t2 + v0t + s0 (a) determine the position and velocity functions for the coin. s(t) = v(t) = (b) determine the average velocity on the interval [1, 2]. ft/s (c) find the instantaneous velocities when t = 1 second and t = 2 seconds. v(1) = ft/s v(2) = ft/s (d) find the time required for the coin to reach the ground level. (round your answer to three decimal places.) t = s (e) find the velocity of the coin at impact. (round your answer to three decimal places.) ft/s