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

here we know that ball will drop down by total distance 3.2 m

so here we know that

now using kinematics

now in the same time it will cover horizontal distance of 0.75 m

so speed of the ball will be

we have been given a quadratic function and we need to restrict the domain such that it becomes a one to one function.

we know that vertex of this quadratic function occurs at (5,2).

further, we know that range of this function is .

if we restrict the domain of this function to either or , it will become one to one function.

let us know find its inverse.

upon interchanging x and y, we get:

let us now solve this function for y.

hence, the inverse function would be if we restrict the domain of original function to and the inverse function would be if we restrict the domain to .