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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?
A sphere of radius R is uniformly charged to a total charge of Q. It is made to spin about an axis that passes through its center with an angular speed ω. Find the magnitude of the resulting magnetic field at the center of the sphere.
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