Gallium is a metal which forms compounds with a wide variety of uses. some of the applications of gallium compounds include computer memory chips, light emitting diodes and lasers. radioactive isotopes of gallium are used to image the human body and locate tumors. naturally occurring gallium consists of two isotopes. one of those isotopes is 71ga with an isotopic mass of 70.9247050 amu70.9247050 amu and an abundance of 39.892%. what is the mass number of the other isotope?

first let us lay out the formula for potential

and kinetic energy:

pe = mgh

ke = (mv^2)/2

where: m=mass, v=velocity, g=gravitational

acceleration, h=height

calculating for mass using the known values of

pe:

340j = m (9.81 m/s^2) (50ft) (1m/3.28ft)

m = 2.27 kg

the law of conservation of energy states that

energy is neither created nor destroyed. therefore, the change in kinetic

energy from 50 ft to 35 ft would be equal to the change in potential energy

from 50 ft to 35 ft. however it would be opposite in signs since one is losing

while other is gaining.

ke(35ft) – ke(50ft) = - [ pe(35ft) – pe(50ft]

ke(50ft) = 0 since the brick is initially at rest

ke(35ft) = 340j - 2.27kg (9.81 m/s^2) (35ft)

(1m/3.28 ft)

ke(35ft)

= 102.38 j