TOUTSTIL TEC. Calculator 0
A 1,550 kg roller coaster cart is pulled at a constant speed of 4.3 m/s to the top of a 53.5 m tall ramp that has
a 45° incline. The coefficient of friction between the ramp and the roller coaster cart is p = 0.052.
When the roller coaster cart makes it to the top of the ramp, the cable suddenly breaks and the roller coaster
cart accelerates back down to the bottom of the ramp.
tow cable
53.5 m
US
Calculate the work done by friction on the roller coaster cart as it rolled back down the ramp after the cable
broke.
Write your answer to three significant figures.
kJ

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