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a hose lying on the ground has water coming out of it at a speed of 5.4 meters per second. you lift the nozzle of the hose to a height of 1.3 meters above the ground. at what speed does the water now come out of the hose? (1.9 m/s)

Sagot :

The speed of the water coming out of the nozzle of the hose is 1.92m/s.

The speed V of any object at the bottom when it is thrown with speed U from the height H is given by the formula,

MgH + 1/2MU² = 1/2MV²

gH + U²/2 = V²/2

Where,

g is the gravitational acceleration,

H is the height from which the object is thrown.

Now it is given to us that horse lying on the ground has water coming out of it at a speed of 5.4m/s. Now the nozzle of the hose is lifted to a height of 1.3 m a ground.

So, we can find the speed of the water coming out of the hose,

Putting values,

9.8(1.3) + (5.4)²/2 = V²/2

Solving further,

V = 1.92m/s.

So, the speed of the water coming out of the hose is 1.92m/s.

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