Answer:
<em>They have the same speed</em>
Explanation:
<u>Law of Conservation of Mechanical Energy</u>
In the absence of dissipative forces (like friction, air resistance), the total amount of mechanical energy, in a closed system remains constant. The mechanical energy is the sum of the potential gravitational and kinetic energies:
Where m is the mass of the object, v its speed and h its height.
The first object's mechanical energy just after it's released in the ramp is
Since it's initially at rest
When it reaches the bottom of the ramp, all it mechanical energy becomes kinetic, so
Being v1' the final speed at the bottom of the ramp. Solving for v1'
The second object's mechanical energy just after it's released in the ramp is
Note the height is the same for both objects. Following the same procedure with m2, we get
Or, similarly
We can see both speeds are the same regardless of their masses or the steepness of the ramps they came from