Question

a) The mass and radius of the sun are 1.99 x 1030 kg and 6.96 x 108 m. What is its density? (b) If a solid object is made from a material that has the same density as the sun, would it (1) sink or (2) float in water? State 1 or 2. (c) Would a solid object (1) sink or (2) float in water if it were made from a material whose density was the same as that of the planet Saturn (mass = 5.7 x 1026 kg, radius = 6.0 x 107 m)? State 1 or 2.

Answer 1

part A : density D = mass/Volume

D = m/V = mass/(4/3 pi r^3)

D = 1.99 *10^30/(1.34 * 3.14 * (6.96 *10^8)^3)

D = 1400 kg/m^3

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part B:

density of water = 1000 kg/m^3

Since Density of object (1400 kg/m^3) is greater than density of water

the object would sink. i.e option (1)

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part C:

density of saturn D = 5.7 *10^26/(1.34 * 3.14 * (6*10^7)^3)

D = 627.17 kg/m^3

Density of water is 1000 kg/m^3

so

since objects density is less than density of water, it floats

option 2