3. Consider two nearly spherical Soyuz payload vehicles, in orbit about Earth, each with mass 9000 kg and diameter 4.0 m. They are initially at rest relative to each other, 10.0 m from center to center. (As we will see in Kepler's Laws of Planetary Motion, both orbit Earth at the same speed and interact nearly the same as if they were isolated in deep space.) Determine the gravitational force between them and their initial acceleration. Estimate how long it takes for them to drift together, and how fast they are moving upon impact. STRATEGY: Use Newton's law of gravitation to determine the force between them and then use Newton's second law to find the acceleration of each. For the estimate, assume this acceleration is constant, and use the constant-acceleration equations from Motion along a Straight Line to find the time and speed of the collision.

3. Consider two nearly spherical Soyuz payload vehicles, in orbit about Earth, each with mass 9000 kg and diameter 4.0 m. They are initially at rest relative to each other, 10.0 m from center to center. (As we will see in Kepler's Laws of Planetary Motion, both orbit Earth at the same speed and interact nearly the same as if they were isolated in deep space.) Determine the gravitational force between them and their initial acceleration. Estimate how long it takes for them to drift together, and how fast they are moving upon impact. STRATEGY: Use Newton's law of gravitation to determine the force between them and then use Newton's second law to find the acceleration of each. For the estimate, assume this acceleration is constant, and use the constant-acceleration equations from Motion along a Straight Line to find the time and speed of the collision.

College Physics

11th Edition

ISBN:9781305952300

Author:Raymond A. Serway, Chris Vuille

Publisher:Raymond A. Serway, Chris Vuille

Chapter1: Units, Trigonometry. And Vectors

Section: Chapter Questions

Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...

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4. Consider two nearly spherical Soyuz payload vehicles, in orbit about Earth, each with mass 9000 kg and diameter 4.0 m. They are initially at rest relative to each other, 10.0 m from center to center. (As we will see in Kepler's Laws of Planetary Motion, both orbit Earth at the same speed and interact nearly the same as if they were isolated in deep space.) Determine the gravitational force between them and their initial acceleration. Estimate how long it takes for them to drift together, and how fast they are moving upon impact.
C) ESA wants to send a satellite to Jupiter to investigate its internal structure and origin by measuring the atmospheric composition and temperature. The spacecraft will leave Earth from a parking orbit of radius 6578 km and arrive at Jupiter in a parking orbit of radius 75782 km. What is the total velocity change required to do this mission? How long would it take for the satellite to arrive at Jupiter?
The gravitational acceleration at the surface of Marsis 3.73 m/s2, and the mass of Mars is 6.39(10 23) kg.Determine the radius of Mars
Jack and Jill ran up the hill at 2.9 m/s. The horizontal component of Jill's velocity vector was 2.5 m/s a. What was the angle of the hill? b.
Consider two nearly spherical Soyuz payload vehicles, in orbit about Earth, each with mass 9000 kg and diameter 4.0 m. They are initially at rest relative to each other, 10.0 m from center to center. Determine the gravitational force between them and their initial acceleration. Estimate how long it takes for them to drift together, and how fast they are moving upon impact. (5.4 x 10-5 N, 1.7 x 104s, 3.6 x 10-4 m/s)
B8
Three uniform spheres of masses m1 = 3.00 kg, m2 = 4.00 kg, and m3 = 6.50 kg are placed at the corners of a right triangle (see figure below). Calculate the resultant gravitational force on the object of mass m2, assuming the spheres are isolated from the rest of the Universe.
3. A simple pendulum consists of a pendulum bob of mass M at the end of a "mass-less" string of length L. The pendulum bob oscillates back and forth and is moving at speed v when the string is oriented at a constant angle 0 from vertical. Give answers in terms of L, 0, v, M and/or g. This is similar to the vertical circle from the Circular Motion Experiment worksheet except that we are not going in a full circle. a. Draw the free body diagram of forces acting on the pendulum bob. Include a coordinate system on your diagram showing your choice for the +x and +y directions. b. Write out Newton's 2nd law EF = mã for each direction. X: y: c. What is the tangential acceleration of the pendulum bob? d. Determine the tension of the string. e. What is the magnitude of the total acceleration of the pendulum bob?
One way astrophysicists have identifi ed “extrasolar” planets orbiting distant stars is by observing redshifts or blueshifts in the star’s spectrum due to the fact that he star and planet each revolve around their common center of mass. Consider a star the size of our sun (mass 1.99 x 1030 kg), with a planet the size of Jupiter(1.90 x 1027 kg) in a circular orbit of radius 7.79 x 1011 m and a period of 11.9 years. (a) Find the speed of the star revolving around the system’s center of mass. (b) Assume that Earth is in the planet’s orbital plane, so that at one point in its orbit the star is moving directly toward Earth, and at the opposite point it moves directly away from Earth. How much is 550-nm light redshifted and blueshifted at those two extreme points?
2). One of the first docking attempts in space was the Gemini 8 module (m = 3187 kg) with the Agena test craft (m 8200 kg). There was an almost fatal problem during the docking but Neil Armstrong's coolness kept the crew alive e, which is why he got the nod to be in the first landing on the Moon. If the Agena craft is initially not moving and %3! the Gemini 8 module moves in at 1.23 m/s, fails to dock and bounces back at 0.5 m/s, what is the final speed of the Agena test craft?
Problem 6: A meteoroid is moving towards a planet. It has mass m = 0.86x10° kg and speed v, = 1.1x10' m/s at distance R = 1.1x107 m from the center of the planet. The radius of the planet is R = 0.14x10' m. The mass of the planet is M = 3.2x1025 kg. There is no air around the planet. R
Asteroid: An asteroid of mass 331 kg orbits the sun in a long-period orbit of 225 years. It is currently at its furthest distance from the sun: 1.11 × 10+13 moving at 184 m/s. m. It is When the asteroid makes its closest approach to the sun – in another 112 years - it will pass within 1.55 x 10+10 m of the sun. How fast will it be going?