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Q1. If you weigh 690 {rm N} on the earth, what would be your weight on the surface of a neutron star that has same mass as our sun and a diameter of 21.0 {rm km}?

Take the mass of the sun to be m_s = 1.99×1030 {rm kg}, the gravitational constant to be G = 6.67×10-11 {rm N} cdot {rm m^2/kg^2}, and acceleration by reason of gravity at the earth's surface to be g = 9.810 {rm m/s^2}.

Q2. A damped harmonic oscillator consists of the block (m = 1.84 kg), a spring (k = 9.08 N/m), and a damping force (F = -bv). At first, it oscillates with amplitude of 24.1 cm; because of the damping, the amplitude falls to 0.784 of the initial value at the completion of 5 oscillations. (a) What is the value of b? (Hint: Assume that b2 << km.) (b) How much energy has been lost during these 5 oscillations?

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