Three point masses are arranged as shown below. The mass at the origin has a mass 2m; the other masses eachhave mass m. Both of the smaller masses are a distance I from the origin and are on either the x- or y-axis.What is the coordinate of the center of mass of the system of these three masses.O (1/4, 31/4)O (31/4, 1/4)O (1/2,1/2)○ (0,0)O (1/4, 1/4)

Answered: Image /qna-images/answer/6c465920-ffbc-4e2b-a244-8e0117233218.jpg

Answered: Three point masses are arranged as…

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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A space vehicle is traveling at 3840 km/h relative to Earth when the exhausted rocket motor is disengaged and sent backward. The relative speed between the motor and the command module is then 94 km/h. The mass of the motor is four times the mass of the module. What is the speed of the command module relative to Earth just after the separation? Number i Units
2. A 'small' asteroid with a mass of 1000kg is moving through deep space with a constant velocity of 30 m/s. Suddenly the small asteroid collides with a large asteroid possessing a mass of 10,000kg. The large asteroid was initially at rest and the collision causes the small mass to become completely embedded within the larger one so that they are now one combined mass. a. What is the speed of the combined mass system after the collision? b. How many Joules of energy were lost due to the collision?
A bomb is initially at rest and located at the origin of the coordinate system (0,0). The bomb explodes breaking up into three fragments of different masses. A camera registers the positions of the fragments after the explosion, as shown in the figure with (x,y) coordinates as follows: m1:(-6,5), m2:(5,0) and m3:(-3,-2), In the figure, the grid Y marks are separated by 1 m in each direction. Gravity and air resistance are negligible. m2 m3 What is the mass ratio of fragments 1 and 3? m,/m3 = 2/5 m1/m3 = 6/2 m1/m3 = 2/6
An average-sized asteroid located 7.4 ✕ 107 km from Earth with mass 2.5 ✕ 1013 kg is detected headed directly toward Earth with speed of 8.0 km/s. What will its speed be (in km/s) just before it hits our atmosphere? (You may ignore the size of the asteroid. Assume the height of our atmosphere is 100 km.)
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Po-204 (mass=204 amu) goes alpha decay. Show that, as a result of ejecting alpha particle (He-4, mass=4 amu), the daughter nucleus recoils with a speed equal to 2% that of the alpha particle.
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One newly discovered light particle has a mass of m and property q. Suppose it moves within the vicinity of an extremely heavy (fixed in place) particle with a property Q and mass M. When the light particle is xi distance from the heavy particle, it is moving directly away from the heavy particle with a speed of vi. a) What is the lighter particle's speed when it is xf away from the heavy particle?
Two masses undergo a collision and they stick together.M1 has a mass of 550g and was traveling at and unknown velocity toward the second mass, M2=400g, which was traveling in the same direction at 4.5m/s. After the collision , they have velocity of 5.1m/s . Determine the velocity of the first mass before the collision.
An object, with mass 88 kg and speed 18 m/s relative to an observer, explodes into two pieces, one 4 times as massive as the other; the explosion takes place in deep space. The less massive piece stops relative to the observer. How much kinetic energy is added to the system during the explosion, as measured in the observer's reference frame?
Two manned satellites approaching one another, at a relative speed of 0.200 m/s, intending to dock. The first has a mass of 5.00 ✕ 103 kg, and the second a mass of 7.50 ✕ 103 kg. a. Calculate the final velocity (after docking) in m/s by using the frame of reference in which the first satellite was originally at rest. (Assume the second satellite moves in the positive direction. Include the sign of the value in your answer.) m/s b. What is the loss of kinetic energy (in J) in this inelastic collision? J c. Repeat both parts by using the frame of reference in which the second satellite was originally at rest. final velocity (m/s) m/sloss of kinetic energy (J) J Explain why the change in velocity is different in the two frames, whereas the change in kinetic energy is the same in both.
We know that the mass of the bagged lunch is m = 1.40 kg and the mass of the astronaut is M = 67.0 kg. Before the collision, the bagged lunch moves with a velocity of vi = 1.60 m/s in the positive x-direction and the astronaut is at rest relative to the space station with velocity Vi = 0. MVi + mvi = MVf + mvf to obtain (67.0 kg)(0 m/s) + (1.40 kg)(1.60 m/s) = (67.0 kg)Vf + (1.40 kg)vf. Because vf = Vf, this further simplifies to (67.0 kg)(0 m/s) + (1.40 kg)(1.60 m/s) = (1.40 kg + 67.0 kg)Vf. What is the velocity of the astronaut after the collision?

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