Density = (mass) / (volume)
Density = (20 g) / (5 cm³)
<em>Density = 4 g/cm³</em> .
The density of the substance is greater than the density of water. A lump of the substance <em>will sink in water</em>, <u>unless</u> the lump is formed into a shape that displaces 20 cm³ of water or more, such as a tiny boat shape.
Answer:
Explanation:
Answer:
Speed of water at the top of fall = 5.40 m/s
Explanation:
We have equation of motion
Here final velocity, v = 26 m/s
a = acceleration due to gravity
displacement, s = 33 m
Substituting
Speed of water at the top of fall = 5.40 m/s
Answer:
distance = 6.1022 x10^16[m]
Explanation:
To solve this problem we must use the formula of the average speed which relates distance to time, so we have
v = distance / time
where:
v = velocity = 3 x 10^8 [m/s]
distance = x [meters]
time = 6.45 [light years]
Now we have to convert from light-years to seconds in order to get the distance in meters.
![t = 6.45 [light-years]*365[\frac{days}{1light-year}]*24[\frac{hr}{1day}] *60[\frac{min}{1hr}]*60[\frac{seg}{1min} ] =203407200 [s]](https://tex.z-dn.net/?f=t%20%3D%206.45%20%5Blight-years%5D%2A365%5B%5Cfrac%7Bdays%7D%7B1light-year%7D%5D%2A24%5B%5Cfrac%7Bhr%7D%7B1day%7D%5D%20%2A60%5B%5Cfrac%7Bmin%7D%7B1hr%7D%5D%2A60%5B%5Cfrac%7Bseg%7D%7B1min%7D%20%5D%20%3D203407200%20%5Bs%5D)
Now using the formula:
distance = v * time
distance = (3*10^8)*203407200
distance = 6.1022 x10^16[m]
Answer:
ρm=4.14g/ml :metal density
Explanation:
Conceptual analysis
We apply the formula to calculate the density:
ρ= m /V Formula (1)
Where:
ρ:density in g/mL
m: mass in g (grams)
V= volume in ml (milliliters)
Known data
: final volume of liquid=55.25 ml
: final volume of liquid=61.00 ml
ms: metal mass=23.795 g
Problem development
The volume of the metal (vm) is equal to the change in volume of the liquid.
![V_{m} = V_{fl}-V_{il} =61.00 ml - 55.25 ml =5.75ml](https://tex.z-dn.net/?f=V_%7Bm%7D%20%3D%20V_%7Bfl%7D-V_%7Bil%7D%20%20%3D61.00%20ml%20-%2055.25%20ml%20%3D5.75ml)
We replace the data in formula (1 )to calculate the density of the metal(ρm):
ρm= mm /Vm=23.795 g/5.75ml
ρm=4.14g/ml
It can be purified or be used by a filter