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Homework 07

# Homework 07 - homework 07 GADHIA TEJAS Due Mar 7 2007 4:00...

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homework 07 – GADHIA, TEJAS – Due: Mar 7 2007, 4:00 am 1 Question 1 part 1 of 1 10 points Two identical stars, a fixed distance D apart, revolve in a circle about their mutual center of mass, as shown below. Each star has mass M and speed v . G is the universal gravitational constant. D v v M M Which of the following is a correct relation- ship among these quantities? 1. v 2 = 4 G M D 2. v 2 = 2 G M 2 D 3. v 2 = M G D 4. v 2 = G M D 5. v 2 = G M 2 D 6. v 2 = 4 G M 2 D 7. v 2 = 2 G M D 8. v 2 = G M D 2 Question 2 part 1 of 2 10 points Compare the gravitational force on a 23 . 5 kg mass at the surface of the Earth ( R E = 6 . 4 × 10 6 m, M E = 6 × 10 24 kg) with that on the surface of the Moon ( M M = 1 81 . 3 M E , R M = 0 . 27 R E ). What is it on the Earth? Answer in units of N. Question 3 part 2 of 2 10 points What is it on the Moon? Answer in units of N. Question 4 part 1 of 2 10 points Given: G = 6 . 6726 × 10 11 N m 2 / kg 2 . Three masses are arranged in the ( x, y ) plane (as shown in the figure below, where the scale is in meters). y ( m ) - 5 - 3 - 1 0 1 2 3 4 5 x ( m ) - 5 - 4 - 3 - 2 - 1 0 1 2 3 4 5 1 kg 7 kg 3 kg What is the magnitude of the resulting force on the 1 kg mass at the origin? Answer in units of N. Question 5 part 2 of 2 10 points Select the figure showing the direction re- sultant force on the 1 kg masses at the origin. 1. None of these figures is correct.

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homework 07 – GADHIA, TEJAS – Due: Mar 7 2007, 4:00 am 2 2. y - 5 - 3 - 10 1 2 3 4 5 x - 5 - 4 - 3 - 2 - 1 0 1 2 3 4 5 3. y - 5 - 3 - 10 1 2 3 4 5 x - 5 - 4 - 3 - 2 - 1 0 1 2 3 4 5 4. y - 5 - 3 - 10 1 2 3 4 5 x - 5 - 4 - 3 - 2 - 1 0 1 2 3 4 5 5. y - 5 - 3 - 10 1 2 3 4 5 x - 5 - 4 - 3 - 2 - 1 0 1 2 3 4 5 6. y - 5 - 3 - 10 1 2 3 4 5 x - 5 - 4 - 3 - 2 - 1 0 1 2 3 4 5 7. y - 5 - 3 - 10 1 2 3 4 5 x - 5 - 4 - 3 - 2 - 1 0 1 2 3 4 5 Question 6 part 1 of 2 10 points The universal gravitationan constant is 6 . 6726 × 10 11 N m 2 / kg 2 . Three 9 kg masses are located at points in the xy plane as shown in the figure. 48 cm 57 cm What is the magnitude of the resultant force (caused by the other two masses) on the mass at the origin? Answer in units of N. Question 7 part 2 of 2 10 points At what angle from the horizontal ( x ) axis will the resultant force point?
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