By definition we have that the density is given by:
Where,
M: mass of the sample
V: volume occupied by the sample
Therefore, substituting values in the given equation we have:
Answer:
the density of a sample of gas with a mass of 30 g and a volume of 7500 cm3 is:
Distance in a minute=<span>0.5 times 30=15 meters
distance in a second</span><span>=15 divided by 60=0.25 meters per second
hope it helps</span>
The wavelength of a sound wave is related to its frequency by the relationship:
where
f is the frequency
v is the speed of the wave
is the wavelength
The wave in our problem has wavelength of
and speed of
(this is the speed of sound in air), therefore its frequency is
And the period of the wave is equal to the reciprocal of its frequency:
Answer:
Explanation:
If friction is neglected, the wheel cannot roll and can only slide frictionlessly and will have the same velocity at the bottom of the ramp as if it had been in free fall as it has converted the same amount of potential energy.
mgh = ½mv²
v = √(2gh) = √(2(9.81)(2.00)) = 6.26418... = 6.26 m/s
However if we do not ignore all friction and the wheel rolls without slipping down the slope, the potential energy becomes linear and rotational kinetic energy
mgh = ½mv² + ½Iω²
mgh = ½mv² + ½(½mR²)(v/R)²
2gh = v² + ½v²
2gh = 3v²/2
v = √(4gh/3) =√(4(9.81)(2.00)/3) = 5.11468... = 5.11 m/s
