Answer:
a) The speed of the block immediately after the collision is
.
b) The impulse exerted on the block is
.
Explanation:
Hi
a) As this is a perfectly elastic collision, we can use the formula
, due
, we obtain
. Then with the data that we know
and
, therefore
or
adding uncertainty.
b) Now that we know the speed we can use 
Momentum of an object is defined as product of mass and velocity
so it is given as

here it is given that
mass = 0.15 kg
momentum = 6 kg m/s
so by plug in values in the above equation



so its speed will be 40 m/s
Answer:
≈ 2.1 R
Explanation:
The moment of inertia of the bodies can be calculated by the equation
I = ∫ r² dm
For bodies with symmetry this tabulated, the moment of inertia of the center of mass
Sphere
= 2/5 M R²
Spherical shell
= 2/3 M R²
The parallel axes theorem allows us to calculate the moment of inertia with respect to different axes, without knowing the moment of inertia of the center of mass
I =
+ M D²
Where M is the mass of the body and D is the distance from the center of mass to the axis of rotation
Let's start with the spherical shell, axis is along a diameter
D = 2R
Ic =
+ M D²
Ic = 2/3 MR² + M (2R)²
Ic = M R² (2/3 + 4)
Ic = 14/3 M R²
The sphere
Is =
+ M [
²
Is = Ic
2/5 MR² + M
² = 14/3 MR²
² = R² (14/3 - 2/5)
= √ (R² (64/15)
= 2,066 R
Blood cell : Eukaryotic cell
and
Bacteria : Prokaryotic cell.
Since the density of water is 1g/cm^3, The mass of water needed to fill the tank is 150000 grams