A satellite circles planet Roton every 2.8 h in an orbit having a radius of 1.2 × 10^7 m. If the radius of Roton is 5.0 × 10^6 m, what is the magnitude of the free-fall acceleration on the surface of Roton?
a. 31 m/s2
b. 27 m/s2
c. 34 m/s2
d. 40 m/s2
e. 19 m/s2
b
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If the universe is flat
a. its age will be equal to 1/H. b. its age will be equal two-thirds of 1/H. c. the density of the universe is less than the critical density. d. the density of the universe is greater than the critical density. e. dark matter accounts for a small fraction of the density of the universe.
Angular Momentum: Initially, a small 2.0-kg rock is whirling at the end of a very thin string in a circular path of radius 0.75 m on a horizontal frictionless surface, as shown in the figure. The initial tangential speed of the rock was 5.0 m/s. The string has been slowly winding around a vertical rod, and a few seconds later the length of the string has shortened to 0.25 m. What is the instantaneous speed of the mass at the moment the string reaches a length of 0.25 m?
A. 3.9 m/s B. 9.3 m/s C. 15 m/s D. 225 m/s E. 75 m/s
Nuclear Binding Energy: A beryllium-8 nucleus at rest undergoes double alpha decay as follows:
The known atomic masses are:
What is the kinetic energy of each departing alpha particle? (1 u = 931.5 MeV/c2)
A. 46 keV B. 65 keV C. 92 keV D. 130 keV E. 180 keV
An electric heater is rated at 300 W when used in a 110-V circuit. The safety fuse in the circuit can accommodate 15 A of current. How many heaters can be safely operated in the circuit?
A) 2 B) 3 C) 4 D) 5 E) more than 5