The radius of a palladium atom is 137 pm. how many palladium atoms would have to be laid side by side to span a distance of 4.25 mm?

atoms of palladium are to be laid side by side to span a distance of  4.25 mm.

Explanation:

The radius of the palladium atom, r = 137 pm

Diameter of the palladium atom = 2r =  137 pm = 274 pm

Let the number of palladium atoms laid side by side be x

Length of the chain = 4.25 mm =

atoms of palladium are to be laid side by side to span a distance of  4.25 mm.

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

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