In a water pistol, a piston drives water through a larger tube of radius 1.30 cm into a smaller tube of radius 1.10 mm as in the figure below. Answer parts a-f.

In A Water Pistol, A Piston Drives Water Through A Larger Tube Of Radius 1.30 Cm Into A Smaller Tube

Answers

Answer 1

It takes 0.47 seconds for water to travel from the nozzle to the ground when the water pistol is fired horizontally.

What is the time it takes for water to travel from the nozzle to the ground?

We will denote the height of the water pistol above the ground as h and the initial velocity of water exiting the nozzle as v2. Assuming negligible air resistance, we will analyze the vertical motion of the water droplets.

The vertical displacement of the water droplets is calculated using equation: h = (1/2) * g * t^2.

Rearranging equation, we solve for time:

t = sqrt(2h / g).

Given data:

Height h = 1.10 m and the acceleration due to gravity g = 9.8 m/s^2, we get:

t = sqrt(2 * 1.10 / 9.8)

t = 0.47380354147

t = 0.47 seconds.

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