Answer to Question #98228 in Mechanics | Relativity for awestellaoluwatoyin

Question

an object of mass 0.25kg moves at a height,h above the ground with a speed of 4m/s if its mechanical energy at this height 12J determine the value of h

Answer 1

Mechanical energy = potential energy + kinetic energy = 12 J

Kinetic energy =

$$0.5mv^2=0.5\times0.25\times4^2=2\ J$$

Then,

Potential energy = $12-2= 10\ J$

So,

$$mgh=10\\or\\0.25\times10\times h=10\\or\\h=4\ m$$