Mass on a Spring: A geologist suspends a 0.30-kg stone on an ideal spring. In equilibrium the stone stretches the spring 2.0 cm downward. The stone is then pulled an additional distance of 1.0 cm down and released from rest.(a) Write down the equation for the vertical position y of the stone as a function of time t, using the cosine function. Take the origin at the equilibrium point of the stone, with the positive y direction upward.(b) How fast is the stone moving at a time equal to 1/3 of its period of motion?
What will be an ideal response?
(a) y = -(0.010 m) cos(22 s-1 t) (b) 0.19 m/s
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A future news release might report that a new planet has been found around a star very similar to our sun. This newly discovered planet is claimed to have a mass 40 times that of Earth and is located nearly 25 AU from the star it orbits. Which of the following would be a reasonable prediction about this planet? I. The planet will probably have a mean density of around 5 g/cm3. II. The planet will
probably have a radius of around five to ten times greater than Earth's. III. The planet will probably have several satellites. IV. The planet will probably have a composition that is mostly hydrogen and helium. a. I & IV b. I, II, & III c. II, III, & IV d. I, II, & IV e. I, II, III, & IV
The choices below each describe the appearance of an H-R diagram for a different star cluster. Which cluster is most likely to be located in the halo of our galaxy?
A) The diagram shows main-sequence stars of every spectral type except O, along with a few giants and supergiants. B) The diagram shows main-sequence stars of spectral types G, K, and M, along with numerous giants and white dwarfs. C) The diagram shows main-sequence stars of all the spectral types except O and B, along with a few giants and supergiants. D) The diagram shows no main-sequence stars at all, but it has numerous supergiants and white dwarfs.
A reflected ray of light leaves a plane mirror's surface at an angle of 60° relative to the normal. The angle of incidence was
a. 60° relative to the surface. b. 60° relative to the normal. c. 90° from the surface. d. none of these.