Question

How much work does it take to push an object with a mass of `2 kg` up a `1 m` ramp, if the ramp has an incline of `(5pi)/12` and a kinetic friction coefficient of `7`?

Answer 1

The work is `=54.4J`

Explanation:

Resolving in the direction parallel to the plane `↗`

`"Force to push up the object "= "component of the weight parallel to the plane"+ "force of kinetic friction"`

`F=mu_k*mgcostheta+mgsintheta`

The work done is

`W=Fxxd`

The mass of the object is `m=2kg`

The distance `d=1m`

The angle `theta=5/12pi`

The coefficient of kinetic friction is `mu_k=7`

The acceleration due to gravity is `g=9.8ms^-2`

Therefore,

The work done is

`W=(7*2*9.8*cos(2/12pi)+2*9.8sin(5/12pi))*1`

`=54.4J`