The density of ocean water increases when it
2 answers:
Answer: The correct answer is b. gets older.
Explanation: Density is defined as ratio of mass and volume.
Mathematically,
We know that volume is directly related to temperature.
When the temperature of the substance increases, particles gets separated and this results in the increase of volume.
When the temperature of the substance decreases, the particles come closer to each other, resulting in the decrease of volume.
From the above relation, we conclude that the temperature is inversely related to density.
As the temperature gets colder, it results in the increase in the density. Hence, the correct option is b.
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Answer:
the coin does not slide off
Explanation:
mass (m) = 5 g = 0.005 kg
distance (r) = 15 cm = 0.15 m
static coefficient of friction (μs) = 0.8
kinetic coefficient of friction (μk) = 0.5
speed (f) = 60 rpm
acceleration due to gravity (g) = 9.8 m/s^{2}
lets first find the angular speed of the table
ω = 2πf
ω = 2 x π x 60 x
ω = 6.3 s^{-1]
Now lets find the maximum static force between the coin and the table so we can get the maximum velocity the coin can handle without sliding
static force (Fs) = ma
static force (Fs) = μs x Fn = μs x m x g
Fs = 0.8 x 0.005 x 9.8 = 0.0392 N
Fs = ma
0.0392 = 0.005 x a
a = 7.84 m/s^{2}
= a x r
= 7.84 x 0.15
Vmax = 1.08 m/s
ωmax =
ωmax = = 7.2 s^{-1}
now that we have the maximum angular acceleration of the table, we can calculate its maximum speed in rpm
Fmax =
Fmax = = 68.7 rpm
since the table is rotating at a speed less than the maximum speed that the static friction can hold coin on the table with, the coin would not slide off.