A stream of water from a hose is sprayed directly on a wall. If the speed of the water is 5.0 m/s and the hose sprays 200 cm3/s, what is the magnitude of the average force (in N) on the wall from the stream of water? Assume that the water does not bounce back appreciably. Each cubic centimeter of water has a mass of 1.0 g.

Engineering

Physics

Momentum and Energy Conservation for System of Particles

Summation of Vectors

Newtons Second Law of Motion

Question

A stream of water from a hose is sprayed directly on a wall. If the speed of the water is 5.0 m/s and the hose sprays 200 cm³/s, what is the magnitude of the average force (in N) on the wall from the stream of water? Assume that the water does not bounce back appreciably. Each cubic centimeter of water has a mass of 1.0 g.

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$F = u_{rel} \frac{dm}{dt} = 5 \times ρ \frac{dv}{dt}$

= 10³ × 5 × 200 × 10^–6 N

= 1N