1. Neutron stars consist only of neutrons and have unbelievably high densities.

Question

1. Neutron stars consist only of neutrons and have unbelievably high densities. A typical mass and radius for a neutron star might be 6.5 x 1028 kg and 1.6 x 103 m. (a) Find the density of such a star. (b) If a dime (V = 2.0 x 10-7 m3) were made from this material, how much would it weight (in pounds)?

2. The Mariana trench is located in the Pacific Ocean at a depth of about 11 000 m below the surface of the water. The density of seawater is

1025 kg/m3. (a) If an underwater vehicle were to explore such a depth, what force would the water exert on the vehicle's observation window (radius = 0.229 m)? (b) For comparison, determine the weight of a jetliner whose mass is 5.63

Explanation / Answer

1. a) density = M/V = (6.5*10^28) /(4/3*3.14*(1.6*10^3)^3) =3.79*10^18 kg/m^3

b) Mass= V* density = 2.0 x 10-7 *3.79*10^18= 7.58 *10^11 Kg

2. F =p*A= (P(atm) +rho*g*h) * A =(101325+1025*9.81*11000)*pi*0.229^2 = 1.82391*10^7 ~18.24*10^6 N

weight of jetliner = g* M =9.8*5.63*10^5 = 5.5174*10^6 N

so ,

force is more than 3 times the weight of jet liner

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