A spaceship with a mass of 2.8 × 106 kg is traveling toward two spherical asteroids, each with a mass of 5.0 × 1016 kg, that are 40 km apart center-to-center
Its path is perpendicular to the line joining the asteroids and is aimed at the midpoint of that line. What is the net gravitational force exerted by the asteroids on the spaceship when the spaceship is 30 km away from that midpoint? (G = 6.67 × 10-11 N ? m2/kg2)
A) 12,000 N
B) 8,000 N
C) 16,000 N
D) 6,200 N
E) 18,000 N
A
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A flat coil of wire consisting of 20 turns, each with an area of 50 cm2, is positioned perpendicularly to a uniform magnetic field that increases its magnitude at a constant rate from 2.0 T to 6.0 T in 2.0 s. If the coil has a total resistance of 0.40 ?, what is the magnitude of the induced current?
A. 0.70 A B. 0.60 A C. 0.50 A D. 0.80 A E. 0.20 A
A person on a diet loses in a week. How many micrograms per second (?g/s) are lost?
A) 2.6 × 103 ?g/s B) 1.6 × 105 ?g/s C) 44 ?g/s D) 6.4 × 104 ?g/s
Sodium metal is paramagnetic with a dimensionless magnetic susceptibility (?) of 8.48×10-6 . The paramagnetism of sodium metal is due to the rotation of some of the spins of the metal’s free electrons into the direction of the applied magnetic field. The applied magnetic field is equal to 1×105 A/m. Sodium metal is BCC with a lattice parameter of 0.428×10-9 m, and sodium is from Group 1A of the periodic table.
(a) What is the intensity of magnetization or the dipole moment per unit volume? (b) For sodium, what is the number of atoms per unit volume, and what is the number of free electrons per unit volume? (c) What is the dipole moment per sodium atom? (d) Assuming that all of the magnetic susceptibility is due to the orientation of free electron spins, what is the net number of free electron spins per atom oriented in the direction of the applied magnetic field?
Which statement about the behavior of Universe geometries is correct? a. Closed and open universes expand forever
b. Closed universes expand and then contract. c. Only flat universes expand forever. d. Flat and open universes expand and then contract. e. Only flat universes expand and then contract.