# physics

A tin can is filled with water to a depth of 30 cm. A hole 11 cm above the bottom of the can produces a stream of water that is directed at an angle of 34° above the horizontal.
(a) Find the range of this stream of water.
(b) Find the maximum height of this stream of water.

1. 👍
2. 👎
3. 👁
1. Use the Bernoulli equation to get the velocity of the water leaving the hole. There is 0.19 m of water above the hole.
The water pressure there is (rho)*g*h above ambient pressure, which is
1000 kg/m^3*9.81m/s^2*0.19 = 1864 N
(rho is the density of water)

The water flows through the hole at a velocity given by
(1/2)*rho*V^2 = 1864 N
V = 1.93 m/s

Now consider the water in air as a ballistics problem. Drops are launched with a vertical velocity component of 1.93 sin 34 = 1.08 m/s and a horizontal component of 1.60 m/s. The water hits the ground 0.11 m below the hole. Compute the time it takes to hit the ground and multiply that by 1.60 m/s to get the range of the stream.

The maximum height can be computed by computing that the stream reaches maximum height at (1.08 m/s)/g = 0.11 s after leaving the hole. Multiply that by the average vertical velocity component as it reaches maximum height, 0.54 m/s. The stream rises 5.6 cm above the hole, or 16.6 cm above the base.

1. 👍
2. 👎

## Similar Questions

1. ### Physics

A dike in Holland springs a leak through a hole of area 0.80 cm2 at a depth of 1.2 m below the water surface. How much force must a boy apply to the hole with his thumb to stop the leak?

2. ### physics

How fast does water flow from a hole at the bottom of a very wide, 3.7 m deep storage tank filled with water? Ignore viscosity.

3. ### Physics II

A large cylindrical water tank 11.5 m in diameter and 13.5 m tall is supported 8.75 m above the ground by a stand. The water level in the tank is 10.6 m deep. The density of the water in the tank is 1.00 g/cm3. A very small hole

4. ### Physics

A dike in Holland springs a leak through a hole of area 0.80 cm2 at a depth of 1.2 m below the water surface. How much force must a boy apply to the hole with his thumb to stop the leak?

The depth d of water in a tank oscillates sinusoidally once every 4 hours. If the smallest depth is 7.9 feet and the largest depth is 10.1 feet, find a possible formula for the depth in terms of time t in hours. (Let the water

2. ### Chemistry Stoichiometry

1. Tin and oxygen gas are reacted together to form Tin (IV) oxide, a solid. If a piece of tin foil, 8.25cm x 21.5cm x 0.60mm (density = 7.28g/cm3) is exposed to oxygen and all the tin reacts, what is the mass of the oxidized tin

3. ### Mathematics

A cylindrical iron rod 8cm height and 6cm in diameter stands in a cylindrical tin 12cm in diameter water is poured into the tin unfit it's depth is 8cm how far until the level drop when the rod is removed

4. ### Calculus

An inverted conical water tank with a height of 16 ft and a radius of 8 ft is drained through a hole in the vertex at a rate of 5 ft^3/s. What is the rate of change of the water depth when the water is 4 ft

1. ### maths

A closed tin is in the shape of a cylinder of diameter 10cm and height 15cm.Use the value 3.14 for pier to find: a)the total surface area of the tin, b)the value of the tin to the nearest naira if tin plate costs 450 per m2.

2. ### math

Using Torricelli's Principle, it can be shown that the depth d of a liquid in a bottle with a hole of area 0.5 cm2 in its side can be approximated by d = 0.0034t2 − 0.52518t + 20, where t is the time since a stopper was removed

3. ### physics

Here is a demonstration Pascal used to show the importance of a fluid's pressure on the fluid's depth : An oak barrel with a lid of area 0.25 m^2 is filled with water. Along, thin tube of cross-sectional area 5.5×10−5 m^2 is

4. ### calculus

1. A conical reservoir has a depth of 24 feet and a circular top of radius 12 feet. It is being filled so that the depth of water is increasing at a constant rate of 4 feet per hour. Determine the rate in cubic feet per hour at