1.1 A thin uniform disk of radius a, mass m and A mass per unit length. Find the gravitational force that thering exerts on a particle of mass M at distance d from the center of the ring, see figure below.ofNote! Disk is in the ZX-plane and D is along the Y-axis1.2 Given that A = Skgm", a = 50 cm and d 1.1 m. Determine the gravitational force that the disk exerts on aparticle of mass M = 750 g.

Given:- A thin uniform disk of radius a, mass m and ) mass per unit length. thering exerts on a…

Answered: 1.1 A thin uniform disk of radius a,…

Physics for Scientists and Engineers: Foundations and Connections

1st Edition

ISBN:9781133939146

Author:Katz, Debora M.

Publisher:Katz, Debora M.

Chapter7: Gravity

Section: Chapter Questions

Problem 13PQ: A massive black hole is believed to exist at the center of our galaxy (and most other spiral...

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A massive black hole is believed to exist at the center of our galaxy (and most other spiral galaxies). Since the 1990s, astronomers have been tracking the motions of several dozen stars in rapid motion around the center. Their motions give a clue to the size of this black hole. a. One of these stars is believed to be in an approximately circular orbit with a radius of about 1.50 103 AU and a period of approximately 30 yr. Use these numbers to determine the mass of the black hole around which this star is orbiting, b. What is the speed of this star, and how does it compare with the speed of the Earth in its orbit? How does it compare with the speed of light?
question 37 please
m = A little particle ball has a mass 200g. It is placed at a point along the axis of a hoop at a distance of d=1.2 m from its center. The hoop has a mass of M=2.0 kilograms. The radius of the hoop is R=50cm. Figure out the following and explain your thought processes for each one: a. The magnitude and direction of the force of gravity on the particle ball due to the hoop b. What the gravitational potential energy is of the system. R mo I I M
Problem 10: You are a scientist exploring a mysterious planet. You have performed measurements and know the following things: •The planet has radius d.•It is orbiting his star in a circular orbit of radius b.•It takes time T to complete one orbit around the star.•The free-fall acceleration on the surface of the planet is a. a)Derive an expression for the mass MS of the star in terms of b, T, and G the universal gravitational constant.
1.1 A thin uniform circular disk of radius a, mass m and A mass per unit length exerts gravitational force on a particle of mass M at distance b from the center of the ring, see figure below. Find the gravitational force that the disk exerts on the particle. AZ M Note! Disk is in the XY-plane and D is along the Z-axis b 1.2 Given that A = 5.0 kgm', a = 0.5 cm and d 150 cm. Determine the gravitational force that the disk exerts on a particle of mass M = 1000 g.
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The Sun subtends an angle of about 0.5 ∘∘ to us on Earth, 150 million km away. Part A Estimate the radius of the Sun. Express your answer to one significant figure and include the appropriate units.
B3
In 2004 astronomers reported the discovery of a large Jupiter-sized planet orbiting very close to the star HD 179949 (hence the term "hot Jupiter"). The orbit was just 1/9 the distance of Mercury from our Sun, and it takes the planet only 3.09 days to make one orbit (assumed to be circular). a. What is the mass of the star? Express your answer in kilograms and as a multiple of our Sun's mass. b. How fast (in km/s) is this planet moving?
the black holė, assun around it. A [ans: 4.5 × 1039 kg] Figure 5 2. Mars orbits the Sun in a nearly circular orbit of radius 2.28 × 10" m. The mass of Mars is 6.42 × 1023 kg. Mars experiences a gravitational force from the Sun of magnitude 1.63 × 1021 N. Calculate the speed of Mars and the period of revolution for Mars in terms of Earth years. A [ans: 2.41 × 10ª m/s; 1.90 Earth years] 3. Calculate the speed of a satellite i 6774656902-5 MUCCON N) 16 x10 DVANCED D.A.L. EL-531XT OFF OME D/NO CA nd F MODE STAT VAR INS ALPHA SET UP DEL RESET O pNOT sin AND cos OR tan1XOR DRG XNOR sin dR COS tan DRG EX log in. +DEG M. abc dx D'M'S RCL STO (x,y) DATA CD. -re -xy oy WOM a y q ( 8 6 ) ncr nPr XS +HEX C I NI8 + 5 4. 9 A PEN
The center of a moon of mass m = 8 × 1023 kg is a distance D = 97 × 105 km from the center of a planet of mass M = 10.9 × 1025 kg. At some distance x from the center of the planet, along a line connecting the centers of planet and moon, the net force on an object will be zero. a. Derive an expression for x. b. Calculate x in kilometers, given the variables in the beginning of the problem.
1. A space probe of mass m approaches a binary star system as shown. The masses and positions are given on the diagram. a. What is the magnitude of the force on the space probe due to the larger star? C. What is the y component of the force? O 8M e. 4L ty Latx m 10M b. What is the x component of this force? Hint: you should be able write the values the sines and cosines without using any inverse trig functions. You don't need to know what the angles are, just what the sines and cosines are! 3L What is the net force on the space probe of mass m in component vector form? 3L 4L 5L d. Write the force on the space probe due to the smaller star in component vector form. Give answers in terms of m, M. L, and G. Please simplify. 4L f. What is the direction of the net force? Give angle counterclockwise from +x axis. You should get a numerical answer.

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