Question

A solid ball is rolling along a horizontal surface at 3.7 m/s when it encounters an upward

incline. If it rolls without slipping up the incline, what maximum height will it reach?

Answer 1

h = 0.697 [m]

Step-by-step explanation:

To solve this problem we must use the energy conservation theorem, where it tells us that kinetic energy is converted to potential energy or vice versa.

`E_(kinet)=E_(pot)`

where:

Ekinet = kinetic energy [J]

Epot = potential energy [J]

`(1)/(2)*m*v^(2)=m*g*h\\0.5*(3.7)^(2) =9.81*h\\h =(6.845)/9.81\\h = 0.697 [m]`