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Hunter-Best [27]
2 years ago
5

A fireman clings to a vertical ladder and directs the nozzle of a hose horizontally toward a burning building. The rate of water

flow is 6.31kg/s, and the nozzle speed is 12.5 m/s. The hose passes vertically between the fireman’s feet, which are 1.30 m below the nozzle. Choose the origin to be inside the hose between the fireman’s feet. What torque must the fireman exert on the hose? (This could also be stated, what is the rate of change of the angular momentum of the water?)
Physics
1 answer:
Aleks [24]2 years ago
4 0

Answer:

A torque of 102.5375 Nm must be exerted by the fireman

Explanation:

Given:

The rate of water flow = 6.31 kg/s

The speed of nozzle  = 12.5 m/s

Now, from the Newton's second law we have  

The reaction force to water being redirected horizontally (F) = rate of change of water's momentum in the horizontal direction

thus we have,

F = 6.31 kg/s x 12.5m/s

or

F = 78.875 N  

Now,

The torque (T) exerted by water force about the fireman's will be

T = (F x d)

or

T = 78.875 N x 1.30 m

T = 102.5375 Nm

hence,

<u>A torque of 102.5375 Nm must be exerted by the fireman</u>

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An example of potential energy is a ball sitting _____ of the stairs.
expeople1 [14]

Answer:

at the top

Explanation:

Potential energy is the stored energy, mechanical energy,

or energy possessed by by virtue of the position of an object.an example of potential energy is the energy that a ball possesses by virtue of its sitting at the top of the stairs it being about to roll down the stairs.

3 0
2 years ago
Now suppose the initial velocity of the train is 4 m/s and the hill is 4 meters tall. If the train has a mass of 30000 kg, what
hoa [83]

Answer:

<h2>187,500N/m</h2>

Explanation:

From the question, the kinectic energy of the train will be equal to the energy stored in the spring.

Kinetic energy = 1/2 mv² and energy stored in a spring E = 1/2 ke².

Equating both we will have;

1/2 mv² = 1/2ke²

mv² = ke²

m is the mass of the train

v is the velocity of then train

k is the spring constant

e is the extension caused by the spring.

Given m = 30000kg, v = 4 m/s, e = 4 - 2.4 = 1.6m

Substituting this values into the formula will give;

30000*4² =  k*1.6²

k = \frac{30,000*16}{1.6^2}\\ \\k = \frac{480,000}{2.56}\\ \\k = 187,500Nm^{-1}

The value of the spring constant is 187,500N/m

7 0
2 years ago
A tennis ball of mass m=0.060 kg and speed v=25 m/s strikes a wall at a 45 angle and rebounds with the same velocity at 45°. Wha
Diano4ka-milaya [45]

To solve this problem we will apply the concepts related to the Impulse which can be defined as the product between mass and the total change in velocity. That is to say

p = m\Delta v

Here,

m = mass

\Delta v = Change in velocity

As we can see there are two types of velocity at the moment the object makes the impact,

the first would be the initial velocity perpendicular to the wall and the final velocity perpendicular to the wall.

That is to say,

v_i = vcos\theta

v_f = -v sin\theta

El angulo dado es de 45° y la velocidad de 25, por tanto

v_i = (25)cos(45) = 17.68m/s

v_f = -(25)sin(45) = -17.68m/s

The change of sign indicates a change in the direction of the object.

Therefore the impulse would be as

p = 0.060(-17.68-17.68)

p = -2.12kg \cdot m/s

The negative sign indicates that the pulse is in the opposite direction of the initial velocity.

3 0
2 years ago
According to the saffir/simpson scale, what storm surge and type of damage was most likely experienced in homestead, florida whi
Naddika [18.5K]

Answer:

Explanation:

The Saffir-Simpson Hurricane Wind Scale gives 1 to 5 rating based on a hurricane's wind speed, storm surge and potential property damage. It rates according to categories. When placed at Hurricanes of Category 3 and above, they are termed major catastrophic hurricanes because of their potential for loss of life and damages of property. Ratings at Category 1 and 2 storms are dangerous but can be prevented by following directed measures.

Florida situated directly in the hurricane at east coast , had experiened Category 1- Category 5 ratings from hurricane and noticed in Land fall in Florida since 1894 with Winds ranging from 74-95 mph with some dangerous damages which can lead damages to Well-built homes, dedtroying roofs , Uprooting shallow rooted trees, and causing power outages due to destruction of poles

to 157 mph or higher causing Catastrophic damages making the area inhabitable due to loss of life and properties.

For example, Hurricane Dorian in September 2019 attacked Florida’s east coast resulting to a Category 2 storm producing tropical storm force winds,heavy rain and storm surge leading to damages of roof of building and disruption of power poles.

8 0
2 years ago
Recall that weight is a force and is equal to m*g, where g is the acceleration due to gravity exerted by the Earth near the Eart
Marysya12 [62]

Answer:

145.43 N

Explanation:

Weight is given by (mg)

where m = mass of the body

g = acceleration due to gravity

mass is constant everywhere and is equal to 77.1 kg, both on the earth and on the moon.

But the acceleration due to gravity exerted by the moon near the moon's surface is 16.6% that of Earth,

g(moon) = 0.166 g(earth) = 0.166 × 9.8 = 1.6268 m/s²

Weight on the moon = mg(moon) = (77.1×1.6268) = 125.43 N

3 0
2 years ago
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