Answer:
The mass of unknown object is 8.62Kg
Explanation:
To develop this problem it is necessary to apply the equations related to the Drag force and the Force of Gravity.
For the given point, that is, the moment at which the terminal velocity is reached, the two forces equalize, that is,

By definition we know that the Drag force is defined as

Where,
Drag coefficient
Density
A =Cross-sectional Area
V = Velocity
In the other hand we have,

Where,
Mass of sphere
Mass of unknown object
Equating the two equations we have to

Re-arrange for m_2,

Our values are given by,






Replacing in the equation we have,


<em>Therefore the mass of unknown object is 8.62Kg</em>
As we know that sphere roll without slipping so there is no loss of energy in this case
so here we can say that total energy is conserved
Initial Kinetic energy + initial potential energy = final kinetic energy + final potential energy

as we know that ball start from rest

height of the ball initially is given as


also we know that

also for pure rolling

also we know that


now plug in all data in above equation




So speed at the bottom of the inclined plane will be 29 rad/s
<span>I think it would kinetic energy which is the same as potentail energy</span>
<span>the answer is victim restitution</span>