Answer:
momentum formula = Mass × Velocity
Kinetic Energy = 1/2 * mv²
Kinetic Energy = 14 J, v = 2.3 m/s , m = ?
14 = 1/2 * m* 2.3²
14 = 0.5*m*2.3*2.3
m = 14 / (0.5*2.3*2.3)
m = 5.29 kg.
Mass = 5.29 kg.
This is a question volumetric flow rate.
In 1 second, water rises with 0.4 in.
Additionally,
Volume filled in 1 second = A*0.4, A = surface area of the circular cylinder.
Where,
A = πR^2 = π*3^2 = 9π in^2
Therefore,
Volumetric flow rate = 9π*0.4 = 11.31 in^3/s
In terms of liters/s,
1 in^3 = 0.0163871 litres
Then,
11.31 in^3/s = 11.31*0.0163871 ≈ 0.19 l/s