Researchers have discovered that a moon rock brought back by the apollo astronauts has a mass of 5.671 kg and a volume of 1,698 cm3. what is the density of the rock? remember to use the correct number of significant digits in your answer.

3.340 g¢m³  

Step-by-step explanation:

Density = mass/volume

Data:

   Mass = 5.671 kg = 5671 g

Volume = 1698 cm³.  

Calculation:

Density = 5671 g/1698 cm³

Density = 3.340 g/cm³

the old alchemists made significant contributions to science even though there starting premises were off a bit. their conclusions after failure would steer them into better directions for investigation. science is no more than close observation and the initial mistakes result in rethinking and retrying experiments.

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