12 cm x 2 cm x 3 cm = 72 cm3
Answer
given,
height of aquarium = 6 m
Depth of fresh water = D = 1.50 m
horizontal length of the aquarium(w) = 8.40 m
total force increased when liquid is filled to depth = 4.30 m
g = 9.81 m/s²
ρ = 998 Kg/m³
force in the aquarium.
dF = PdA





At D = 1.5 m

F = 9.08 x 10⁴ N
At D = 4.30 m

F = 7.46 x 10⁵ N
Total force on the wall increased by
ΔF = 74.6 x 10⁴ - 9.08 x 10⁴
ΔF = 65.52 x 10⁴ N
Answer:
1) Mass of the grain is
.
2) 0.08901 kg of sand would have surface area equal the surface area of the cube.
Explanation:
1) Radius of the grain,r = 64.8 µm =
Volume of the sphere =
Volume of the grain of a sand:


Density of a grain of sand = 
Mass of a grain of a sand = M


Mass of the grain is
.
2) Surface are of sphere: 
Surface area of a grain:


Length of the cube = a = 0.514 m
Total surface area of cube ,A'= 

let the number grains with area equal to total surface area of cube be x.


Volume of x number of grains :V'



Mass of
of sandL:
=
0.08901 kg of sand would have surface area equal the surface area of the cube.
Explanation:
Given that,
Length of the spring, l = 50 cm
Mass, m = 330 g = 0.33 kg
(A) The mass is released and falls, stretching the spring by 28 cm before coming to rest at its lowest point. On applying second law of Newton at 14 cm below the lowest point we get :

(B) The amplitude of the oscillation is half of the total distance covered. So, amplitude is 14 cm.
(C) The frequency of the oscillation is given by :

Explanation :
Using the law of conservation of energy
When two cars collide with each other then the momentum is same before collision and after collision but energy is changed after collision in form of heat and sound.
We know this collision is inelastic collision.
In Inelastic collision, when two objects collide with each other then the momentum is conserved but kinetic energy is not conserved.