Determine the mechanical energy of this object a 1 kg ball sits on a 10 m highcliff

Mechanical energy is the sum of both potential and kinetic energy. Thus, we must find both the potential and kinetic energy first.

The equation for gravitational potential energy is PE=MGH, or potential energy=Mass*gravitational acceleration*height. Since initial potential energy is equal to final kinetic energy, we can also equal our potential energy equation to the kinetic energy equation, or Kinetic Energy=1/2mass*velocity^2.

MGHinitial=1/2mv^2final.

Now, insert the values that we know. First, lets insert the mass.

(1)GHinitial=1/2(1)v^2final.

Now substitute gravitational acceleration and height into the potential energy equation.

1(9.8)(10)=1/2(1)V^2

98=1/2(1)v^2

Since KE is equal to PE, we know that both KE and PE are 98. So to solve for mechanical energy, multiply 98 by 2.

98*2=196.

The mechanical energy is 196.

Hope this helps!