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MaRussiya [10]
3 years ago
11

An 80.0-kg object is falling and experiences a drag force due to air resistance. The magnitude of this drag force depends on its

speed, v, and obeys the equation Fdrag=(12.0N⋅s/m)v+(4.00N⋅s2/m2)v2. What is the terminal speed of this object?
Physics
1 answer:
Zinaida [17]3 years ago
3 0

Answer:

 Terminal velocity of object = 12.58 m/s

Explanation:

 We know that the terminal velocity is attained when drag force and gravitational force are of the same magnitude.

Gravitational force = mg = 80 * 9.8 = 784 N

Drag force = 12.0v+4.00v^2

Equating both, we have

    784=12.0v+4.00v^2\\ \\ v^2+3v-196=0\\ \\ (v-12.58)(v+15.58)=0

  So v = 12.58 m/s or v = -15.58 m/s ( not possible)

 So terminal velocity of object = 12.58 m/s    

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What mass of steam at 100°C must be mixed with 490 g of ice at its melting point, in a thermally insulated container, to produce
sukhopar [10]

Answer:

the mass of steam at 100°C must be mixed is 150 g

Explanation:

given information:

ice's mass, m_{i} = 490 g = 0.49 kg

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liquid water temperature, T = 89.0°C

specific heat of water, c_{w} = 4186 J/kg.K = 4.186 kJ/kg.K

latent heat of fusion, L_{f} = 333 kJ/kg

latent heat of vaporization, L_{v} = 2256 kJ/kg

first, we calculate the heat of melted ice to water

Q₁ = m_{i} L_{f}

where

Q = heat

m_{i} = mass of the ice

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thus,

Q₁ = m_{i} L_{f}

    = 0.49 x 333

    = 163.17 kJ

then, the heat needed to increase the temperature of water to 89.0°C

Q₂ = m_{i} c_{w} (89 - 0), the temperature of ice is 0°C

c_{w} = specific heat of water

so,

Q₂ = m_{i} c_{w} (89 - 0)

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so, the heat absorbed by the ice is

Q = Q₁ + Q₂

   = 163.17 + 182.55

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the temperature of the steam is 100°C, so the mass of the steam is

Q = m_{s}L_{v}  +  m_{s}c_{w} (100 - 89)

Q = m_{s}(L_{v}  +  c_{w} (11))

m_{s} = Q/ [L_{v}  +  c_{w} (11)]

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