Answer:
Part a)

Part b)

Part C)


Part d)
In horizontal direction velocity will remain constant

in vertical direction we have

Explanation:
Part a)
Horizontal speed of the cannon

angle of projection

now we have
horizontal speed = 
vertical speed = 
now the time taken by it to cover the distance 100 m from the wall



Part b)
Since it hits the ground in the same time
so the height of the castle is given as



Part C)
At highest point of the projection
the vertical component of the velocity will become zero
so we will have


Part d)
In horizontal direction velocity will remain constant
so we have

in vertical direction we have



Part e)
Answer:
4.78 kg/m^2.
Explanation:
τ = Iα
Where,
τ = torque, around a defined axis (N∙m)
I = moment of inertia (kg∙m2)
α = angular acceleration
= 1.2 rad/s^2
τ = F * r
= 16.88 * 0.34
= 5.74 N.m
Therefore, I = 5.74/1.2
= 4.78 kg/m2
In physical chemistry, the mean free path is the average distance between the atoms during collision. Its formula is

where d is the diameter of the Nitrogen atom (d = 310 x 10^-7 m), Na is Avogadro's number (Na=6.022 x 10^23), R is the gas constant (8.314 J/mol-K), T is the absolute temperature (T= 20 + 273 = 293 K). Substituting the values,
P = 6.32 x 10^-13 Pascals
Answer:
True
Explanation:
The earths gravitational pull keeps it consistent with its orbit.