Answer:
The force exerted is 318.86 N
Explanation:
The force exerted by such a stream is calculated by multiplying the mass flow rate of water by the velocity of the stream of water.
mass flow rate = 21.4 kg/s
velocity = 14.9 m/s
Force exerted = 21.4 kg/s × 14.9 m/s = 318.86 kgm/s^2 = 318.86 N
Given Information:
mass flow rate = 21.4 kg/s
change in velocity = 14.9 m/s
Required Information:
Force = ?
Answer:
Force = 318.86 N
Explanation:
We know that force is equal to change in momentum over time
F = Δp/t
Where change in momentum is
Δp = m(v₂² - v₁²)
so force becomes
F = m(v₂² - v₁²)/t
Where m/t is basically mass flow rate 21.4 kg/s
F = 21.4 kg/s*(v₂² - v₁²)
The change in velocity is given as
v₂² - v₁² = 14.9 m/s
F = 21.4 kg/s * 14.9 m/s
F = 318.86 kg.m/s²
1 kg.m/s² is equivalent to 1 Newton of force
F = 318.86 N
