Answer:
The velocity of the shell when the cannon is unbolted is 500.14 m/s
Explanation:
Given;
mass of cannon, m₁ = 6430 kg
mass of shell, m₂ = 73.8-kg
initial velocity of the shell, u₂ = 503 m/s
Initial kinetic energy of the shell; when the cannon is rigidly bolted to the earth.
K.E = ¹/₂mv²
K.E = ¹/₂ (73.8)(503)²
K.E = 9336032.1 J
When the cannon is unbolted from the earth, we apply the principle of conservation of linear momentum and kinetic energy
change in initial momentum = change in momentum after
0 = m₁u₁ - m₂u₂
m₁v₁ = m₂v₂
where;
v₁ is the final velocity of cannon
v₂ is the final velocity of shell

Apply the principle of conservation kinetic energy

Therefore, the velocity of the shell when the cannon is unbolted is 500.14 m/s
Answer:
In one rotation, the large wheel turns 4m.
Explanation:
The given values are:
Input distance,
= 0.64 m
Mechanical advantage,
= 0.16
As we know,
⇒ 
On putting the values, we get
⇒ 
⇒
Answer:
Temperature at the bottom will be 19.18°C
Explanation:
We have given height h = 807 m
Temperature at the top 
Specific heat of water c = 4200 
From energy conservation
Kinetic energy at the bottom = potential energy at the top
So 

So temperature at the bottom = 17.3+1.88 = 19.18°C
Answer:
Fluid pressure from gravity is the weight of the fluid above divided by the area it is pushing on. Fluid pressure applies in all directions. Internal pressure of an object equals the external fluid pressure, otherwise the object could be crushed. Wind and heating can also create pressure.
Explanation: