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olasank [31]
3 years ago
7

A cannon is fired horizontally from atop a 40.0 m tower. The cannonball travels 175 m horizontally before it strikes the ground.

With what velocity did the ball leave the muzzle?
Physics
1 answer:
Anastasy [175]3 years ago
3 0

The vertical movement of the projectile is described by:

y = H - gt² / 2

When the cannonball is on the ground, y= 0 so:

0 = H - gt² /2

Solving for t:

t = \sqrt{\dfrac{2H}{g}} = \sqrt{\dfrac{2(40\;m)}{9.8\;m/s^2}} = 2.8\;s

The horizontally movement of the projectile is described by:

x = v₀t

Solving for v₀:

v₀ = x/t

v₀ = 175 m / 2.8 s

v₀ = 61.5 m/s

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In a very large closed tank, the absolute pressure of the air above the water is 6.46 x 105 Pa. The water leaves the bottom of t
a_sh-v [17]

Answer:

a) 35.94 ms⁻²

b) 65.85 m

Explanation:

Take down the data:

ρ = 1000kg/m3

a) First, we need to establish the total pressure of the water in the tank. Note the that the tanks is closed. It means that the total pressure, Ptot,  at the bottom of the tank is the sum of the pressure of the water plus the air trapped between the tank rook and water. In other words:

Ptot = Pgas + Pwater

However, the air is the one influencing the water to move, so elimininating Pwater the equation becomes:

Ptot  = Pgas

        = 6.46 × 10⁵ Pa

The change in pressure is given by the continuity equation:

ΔP = 1/2ρv²

where v is the velocity of the water as it exits the tank.

Calculating:

6.46 × 10⁵  =1/2 ×1000×v²

solving for v, we get v = 35.94 ms⁻²

b) The Bernoulli's equation will be applicable here.

The water is coming out with the same pressure, therefore, the equation will be:

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B

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If you cross of what you don't think are the answers then it makes it easier to narrow it down to what the answers are.

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A golden retriever is sitting in a park when it sees a squirrel. The dog starts running, exerting a constant horizontal force of
oksano4ka [1.4K]

Answer:

284.8 kgm/s

Explanation:

Impulse: This can be defined as the product of force and time of a body. The S.I unit of impulse is N.s mathematically.

Impulse = Force × time

Change in momentum: This is the product of the mass of a body and its change in velocity. The unit of change in momentum is kgm/s.

Mathematically,

momentum = mass×change in velocity

Deduction from newton's second law of motion,

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Substitute into equation 1

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