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KonstantinChe [14]
3 years ago
9

In 1986, an enormous iceberg broke away from the Ross Ice Shelf in Antarctica. It was an approximately rectangular prism 160 km

long, 40.0 km wide, and 250 m thick.
(a) What is the mass of this iceberg, given that the density of ice is 917kg/m3 ?
(b) How much heat transfer (in joules) is needed to melt it?
(c) How many years would it take sunlight alone to melt ice this thick, if the ice absorbs an average of 100W/m2 , 12.00 h per day?
Physics
1 answer:
oksano4ka [1.4K]3 years ago
8 0

Answer:

(a) 1.6 × 10¹² × 917 = 1.47 × 10¹⁵ kg.

(b) 336 × 1.47 × 10¹⁵ = 4.94 × 10¹⁷ kJ.

(c) 44.5 year.

Explanation:

Density (D) = mass (M)/Volume(V)

D = M/V.................... Equation 1

Where D = 917 kg/m³, V= volume of the iceberg= volume of rectangular prism =Length(L) × width(W) × Height(H).

(a)

Where L = 160 km = 160 × 1000 = 160000 m

           W = 40 km = 40 × 1000 = 40000 m

            H = 250 m.

∴ Volume = 160000 × 40000 × 250 = 1.6 × 10¹² m

    Therefore, M = D × V

    M = 1.6 × 10¹² × 917 = 1.47 × 10¹⁵ kg.

(b)

Q = m × l

Where Q = heat needed to melt the ice, m = mass of ice, l = specific latent heat of fusion of ice.

The specific latent heat of fusion of ice = 366 kJ/kg, m = 1.47 × 10¹⁵ kg

Q = 336 × 1.47 × 10¹⁵ = 4.94 × 10¹⁷ kJ.

(c)

Q/t = A×Pₐ ........................ equation 2 making t the subject of formula in equation 2

t = Q/(A×Pₐ) ........................ Equation 3

Where

Pₐ =  100 W/m²,  A = area of the ice = 160000 × 40000 = 6.4 × 10 ⁹ m², Q = 4.94 × 10¹⁷ kJ. =  4.94 × 10²⁰ J.

Substituting these values in equation 3.

t = (4.49 × 10²⁰)/(6.4× 10⁹ × 100)

t = 7.02 × 10⁸ seconds = (7.02 × 10⁸)/3600 = 195000 hours.

If it absorbs energy from the sun for 12 hours per day,

195000 hours = (195000/12) day

= 16250 days.

If 365 days = 1 year,

16250 days = (16250/364) days

 = 44.5 year.

It will take the sun alone 44.5 years to melt the ice.

   

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<h3>What is meant by sound intensity?</h3>
  • The average rate at which sound energy moves across a unit area normal to a given direction is used to determine a sound's intensity. This rate is generally stated in ergs per second per square centimeter.
  • Decibels are the units used to measure sound intensity, often known as sound power or sound pressure. The decibel (dB) unit is named after Alexander Graham Bell, who also created the audiometer and the telephone. An audiometer is a tool to gauge a person's hearing capacity for various noises.
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How much power is radiated as a sound from a band whose intensity is 1.6x10-3 w/m2 at a distance of 12m:

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To learn more about sound intensity, refer to:

brainly.com/question/17062836

#SPJ9

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