Abasketball is bounced from a height of 1.13 m above the ground. during its descent, it converts potential energy to kinetic energy. assuming it started its descent from rest, what is its final velocity (in m/s) upon impact with the ground?

The final velocity is 4.71 m/s

Explanation:

The potential energy corresponding to a body of mass (m) at a height (h) is given as:

where g = acceleration due to gravity = 9.8 m/s2

The kinetic energy of a body of mass (m) moving at a velocity (v) is:

It is given that:

the height (h) from which the basketball hits the ground = 1.13 m

Based on equation (1), the PE is:

During its descent, all the potential energy gets converted to kinetic energy

as given the equation is

2al + 6 hcl > 2 alcl3 + 3 h2(g)

as per equation two moles of aluminum reacts with six moles of hcl to give two moles of alcl3 and three moles of hydrogen gas

given: three moles of al are present and 7 moles of hcl

for three moles of aluminum nine moles of hcl will be required

however as 7 moles of hcl are present so the limiting reagent is hcl

hcl is going to decide the number of moles of product formed

when six moles of hcl are present = 3 moles of h2 are formed

when one mole of hcl is present == 3/6 mole sof h2 will be formed

when 7 moles of hcl are present = 3 x 7/ 6 moles of h2 will be formed = 3.5 moles of h2

answer is: nuclear fusion produces elements that are heavier than helium.

nuclei combine to form a heavier nucleus, releasing energy.  

for example, fusion of hydrogen atoms at the sun.  

this fusion nuclear reaction is in the inner core of the sun and hydrogen (atomic number 1) is conveted into helium (atomic number 2).  

the inner core is the central region of the sun and all solar energy is produced in the core by nuclear fusion.