Answer:
a. It extends to about 100,000 times the distance between the Earth and the Sun.
d. Stars are born from clouds of gas and dust, and when they die they return gas and dust to the galaxy from which new stars can be born.
b. Kind of interesting
Explanation:
- The average distance between the sun and the earth is called one astronomical unit.
- It is the unit of length to measure the distance in our solar system.
- It is equal to 1.49 x 10¹¹ m
- It is analogous to the light-year to measure the distance of distant stars.
- So according to this unit, our solar system extends about 100,000 times the distance between the Earth and the Sun.
Answer:
(a) A = 0.700m
(b) k = 80.6N/m
(c) x = -0.699m
(d) x = -0.350m
(e) t = 0.168s
Explanation:
Given the equation of motion for the spring
X = 0.700cos(12.0t), m = 0.56kg
(a) A = amplitude = 0.700m
(b) The angular velocity ω = 12rad/s
ω = √(k/m)
ω² = k/m
k = m×ω² = 0.56×12² = 80.6N/m
Spring constant k = 80.6N/m
(c) T = 2π/ω = 2π/12
T = 0.524s
At t = T/2 = 0.524/2 = 0.262s
So x = 0.700cos(12×0.262) = –0.699m
(d) At t = 2/3×T = 2×0.524/3 = 0. 349s
x = 0.700cos(12×0.349) = –0.350m
(e) to find t at x = -0.300m
–0.300 = 0.700cos(12t)
–0.300/0.700 = cos(12t)
cos(12t) = –0.429
12t = cos-¹(-0.429)
12t = 2.01
t = 2.01/12
t = 0.168s
An example of a law being implemented by bureaucratic agency is____
A. Congress passing legislation by major vote
B. OSHA deciding how hazardous substance should be stored
C. the USPS delivering mail throughout the country
D. A watchdog group blowing the whistle on government corruption
