Answer :
Answer:
Speed of the block at the bottom of the block is 11.91 m/s.
Explanation:
Energy can neither be created nor be destroyed but it can change its form from one to another such as kinetic energy to potential energy or vice a versa.
Applying conservation of energy to the given problem :
Kinetic Energy = Potential Energy + Thermal Energy
[tex]\frac{1}{2}mv^{2} = mgh\ + 266[/tex]
Here m is mass of the block, h is height, g is acceleration due to gravity and v is speed of the block.
Rearrange the above equation in terms of v ;
[tex]v = \sqrt{2(gh\ + \frac{266}{m})}[/tex]
Substitute 32 kg for m, 6.4 m for h and 9.8 m/s² for g in the above equation.
[tex]v = \sqrt{2(9.8\times6.4\ + \frac{266}{32})}[/tex]
v = 11.91 m/s