Two particles of masses
a. Find the radii of the circles of motion of both particles.
b. Find the x- and y-coordinates of the center of mass.
c. Decide if the center of mass moves in a circle by plotting its trajectory.
Trending nowThis is a popular solution!
Chapter 9 Solutions
University Physics Volume 1
Additional Science Textbook Solutions
Conceptual Physical Science (6th Edition)
College Physics
College Physics (10th Edition)
Lecture- Tutorials for Introductory Astronomy
Conceptual Physics (12th Edition)
Essential University Physics: Volume 1 (3rd Edition)
- In the problems that follow, point P moves with angular velocity v on a circle of radius r.In each case, find the distance s traveled by the point in time t. v = 4 pi /3 rad/sec, r = 8 m, t = 15 secarrow_forwardA block of mass m1 = 30.0 kg (starting from the rest) is going down an inclined plane at angle θ = 30° is connected by a massless cord that is wrapped around a uniform disk of mass M = 1.50 kg and radius R = 10.0 cm to a second block of mass m2 = 5.00 kg hanging vertically. The disk can rotate about a fixed horizontal axis through its center; the cord cannot slip on the disk. The coefficient of kinetic friction between m1 and the surface is μk = 0.150. Find (a) the magnitude of the acceleration for the blocks, (b) the tension T1 in the cord at the left and (c) the tension T2 in the cord at the right. After m1 moves 2 m, (d) What is the speed of m2? (e) How long will it take for m1 to travel 2.00 m? (f) What is the work done by the net force on m1? (h) What is the work done by the net force on m2? Section D, E, F, Harrow_forwardA block of mass m1 = 30.0 kg (starting from the rest) is going down an inclined plane at angle θ = 30° is connected by a massless cord that is wrapped around a uniform disk of mass M = 1.50 kg and radius R = 10.0 cm to a second block of mass m2 = 5.00 kg hanging vertically. The disk can rotate about a fixed horizontal axis through its center; the cord cannot slip on the disk. The coefficient of kinetic friction between m1 and the surface is μk = 0.150. Find (a) the magnitude of the acceleration for the blocks, (b) the tension T1 in the cord at the left and (c) the tension T2 in the cord at the right. After m1 moves 2 m, (d) What is the speed of m2? (e) How long will it take for m1 to travel 2.00 m? (f) What is the work done by the net force on m1? (h) What is the work done by the net force on m2?arrow_forward
- A package of mass 7 kg sits at the equator of an airless asteroid of mass 4.0 1020 kg and radius 5.9 105 m. We want to launch the package in such a way that it will never come back, and when it is very far from the asteroid it will be traveling with speed 188 m/s. We have a large and powerful spring whose stiffness is 2.1 105 N/m. How much must we compress the spring?arrow_forwardWe are presented with a particle of mass (m = 4.56 kg) which is in uniform circular motion going around a fixed point O. It had a radius of orbit (r = 3.63 m) and it experiences a net force of magnitude F = Br toward the fixed point O, where B = 2.75 Nm. What is the period of the particles orbit?arrow_forwardOne model for a certain planet has a core of radius R and mass M surrounded by an outer shell of inner radius R, outer radius 2R, and mass 4M. If M= 4.1 * 1024 kg and R = 6.0 *106 m, what is the gravitational acceleration of a particle at points (a) R and (b) 3R from the center of the planet?arrow_forward
- Assume the earth is a uniform sphere of mass M and radius R. As strange as it may sound, if one can dig a long tunnel from one side of the Earth straight through the center and exit the other end, any object falling into the tunnel will appear at the other end (i.e. the opposite side of the Earth) in just 2530 s (42.2 min). Call that time t. Let t be a function of G, M, and R, where G = 6.67 x 10^-11 m3 kg−1 s−2 is the Universal Gravitational Constant, M = 5.98 x 10^24 kg, and R = 6400 km. (a) From dimensional analysis alone find the expression for t, up to a numerical constant c.(b) Determine the value of c by using the above values in the expression found in part (a).arrow_forwardIn Example 2.6, we considered a simple model for a rocket launched from the surface of the Earth. A better expression for the rockets position measured from the center of the Earth is given by y(t)=(R3/2+3g2Rt)2/3j where R is the radius of the Earth (6.38 106 m) and g is the constant acceleration of an object in free fall near the Earths surface (9.81 m/s2). a. Derive expressions for vy(t) and ay(t). b. Plot y(t), vy(t), and ay(t). (A spreadsheet program would be helpful.) c. When will the rocket be at y=4R? d. What are vy and ay when y=4R?arrow_forwardSuppose the gravitational acceleration at the surface of a certain moon A of Jupiter is 2 m/s2. Moon B has twice the mass and twice the radius of moon A. What is the gravitational acceleration at its surface? Neglect the gravitational acceleration due to Jupiter, (a) 8 m/s2 (b) 4 m/s2 (c) 2 m/s2 (d) 1 m/s2 (e) 0.5 m/s2arrow_forward
- The figure shows particles 1 and 2, each of mass m, attached to the ends of a rigid massless rod of length L1 + L2, with L1 = 2.0 m and L2 = 6.0 m. The rod is held horizontally on the fulcrum and then released. What are the magnitudes of the initial accelerations of (a) particle 1 and (b) particle 2?arrow_forwardAn exoplanet (JB-2285), located in the galaxy closest to ours, uses a system where the units of mass and force are phljmth and xwyflr. respectively. Xwyflr is defined as the unit of force required to accelerate a unit mass, phljmth, with the gravitational acceleration (in m/s2) on the surface of the exoplanet which is seven tenths of the gravitational acceleration on earth’s surface (9.8066 m/s2). a. What is the conversion factor to convert a force in xwyflr to force in phljmth●m/s2? b. Calculate the weight in xwyflr of a 14.28 phljmth object on the surface of the exoplanet JB-2285. c. Determine the weight of the object in (b) in Newtons (N) in Mintal, Davao City if 137.224 N = 1.00 xwyflr? d. What is the mass in grams of a 796.2-phljmth object?arrow_forwardA 1024-kg blue ball is dropped from an initial z-position of 3.9 x 106 m through the center of a planet with radius 8.8 x 106 m. If the mass of the planet is 42.2 x 1015 kg, measure the displacement of the ball at time t = 6 s? express answer without scientific notationarrow_forward
- Classical Dynamics of Particles and SystemsPhysicsISBN:9780534408961Author:Stephen T. Thornton, Jerry B. MarionPublisher:Cengage LearningPrinciples of Physics: A Calculus-Based TextPhysicsISBN:9781133104261Author:Raymond A. Serway, John W. JewettPublisher:Cengage LearningPhysics for Scientists and Engineers: Foundations...PhysicsISBN:9781133939146Author:Katz, Debora M.Publisher:Cengage Learning