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PhysicsBowl 2019 Q16

Writer's picture: keshpradkeshprad

16) Water flows at a rate of 120 kg/min from a horizontal pipe that is 3.2 m above the ground. We want the average force exerted when the water hits the ground. First, using the conservation of energy, we can find the velocity when the water hits the ground.

Where m is mass, v is velocity, g is acceleration due to gravity, and h is height

Using, Newton's second law, we can make an equation for the average acceleration.

Where F is force, m is mass, a is acceleration, v is velocity, and t is time

Finally, we have enough to solve for the average force. Since the flow rate of water is 120 kg/min, let's take mass as 120 and time as 1 min.

Where F is force, m is mass, v is velocity, and t is time

Answer: D

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