hw6sol - homework 06 ARMSTRONG, DOMINIC Due: Oct 16 2007,...

Info iconThis preview shows pages 1–2. Sign up to view the full content.

View Full Document Right Arrow Icon

Info iconThis preview has intentionally blurred sections. Sign up to view the full version.

View Full DocumentRight Arrow Icon
This is the end of the preview. Sign up to access the rest of the document.

Unformatted text preview: homework 06 ARMSTRONG, DOMINIC Due: Oct 16 2007, 3:00 am 1 Question 1, chap 8, sect 1. part 1 of 1 10 points A 69 g block is released from rest and slides down a frictionless track that begins 1 . 8 m above the horizontal, as shown in the figure. At the bottom of the track, where the surface is horizontal, the block strikes and sticks to a light spring with a spring constant of 10 N / m. The acceleration of gravity is 9 . 8 m / s 2 . 1 . 8 m 69 g 10 N / m Find the maximum distance the spring is compressed. Correct answer: 0 . 493388 m (tolerance 1 %). Explanation: Let : m = 69 g = 0 . 069 kg , h i = 1 . 8 m , and k = 10 N / m . From conservation of mechanical energy, we have mg h i = 1 2 k x 2 x = radicalbigg 2 mg h i k = radicalBigg 2 (0 . 069 kg) (9 . 8 m / s 2 ) (1 . 8 m) 10 N / m = . 493388 m . Question 2, chap 9, sect 1. part 1 of 1 10 points Given: G = 6 . 67259 10- 11 N m 2 / kg 2 A distant star has a single planet circling it in a circular orbit of radius 7 . 36 10 11 m. The period of the planets motion about the star is 692 day. What is the mass of the star? Correct answer: 6 . 59871 10 31 kg (tolerance 1 %). Explanation: According to Newtons explanation of Ke- plers third law R 3 B T 2 B = GM s 4 2 = const. where G is universal constant, R B is the dis- tance between the star and its planet, T B is the period of the motion. The mass of the star can be given as M s = 4 2 G R 3 B T 2 B = 4 (3 . 1415926) 2 (6 . 67259 10- 11 N m 2 / kg 2 ) (7 . 36 10 11 m) 3 (5 . 97888 10 7 s) 2 = 6 . 59871 10 31 kg Question 3, chap -1, sect -1. part 1 of 1 10 points Two telecommunication satellites A and B have a circular orbit around the Earth in the same plane. Their masses and radii have the relationships 6 m B = 5 m A and 16 r B = 9 r A ....
View Full Document

Page1 / 4

hw6sol - homework 06 ARMSTRONG, DOMINIC Due: Oct 16 2007,...

This preview shows document pages 1 - 2. Sign up to view the full document.

View Full Document Right Arrow Icon
Ask a homework question - tutors are online