help please A system consists of two particles, each of mass m=5 g, with positions andvelocities as follows:r = (2î + 2j + 4k) cmVị = (41 + 2k )cm/srz = (4) – 4k) cmv = (2j – k )cm/sFind(a) the linear momentum of the system.(b) the kinetic energy of the center of mass(c) the angular momentum about the origin

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Answered: A system consists of two particles,…

Principles of Physics: A Calculus-Based Text

5th Edition

ISBN:9781133104261

Author:Raymond A. Serway, John W. Jewett

Publisher:Raymond A. Serway, John W. Jewett

Chapter10: Rotational Motion

Section: Chapter Questions

Problem 47P: The position vector of a particle of mass 2.00 kg as a function of time is given by...

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A satellite is spinning at 6.0 rev/s. The satellite consists of a main body in the shape of a sphere of radius 2.0 m and mass 10,000 kg, and two antennas projecting out from the center of mass of the main body that can be approximated with rods of length 3.0 m each and mass 10 kg. The antenna’s lie in the plane of rotation. What is the angular momentum of the satellite?
The velocity of a particle of mass m = 2.00 kg is given by v= 5.10 + 2.40 m /s. What is the angular momentumof the particle around the origin when it is located atr= 8.60 3.70 m?
The position vector of a particle of mass 2.00 kg as a function of time is given by r=(6.00i+5.00tj), where r is in meters and t is in seconds. Determine the angular momentum of the particle about the origin as a function of time.
One end of a massless rigid rod of length is attached to a woodenblock of mass M restingon a frictionless, horizontal tabletop, and theother end is attached tothe table through apivot (Fig. P13.75). Abullet of mass m traveling with a speed v in adirection perpendicular to the rod and parallel to the table impacts the block and embeds itself inside. a. What is the angular momentum of this systemaround a vertical axis through the pivot after the collision?b. What is the fraction of the bullets initial kinetic energy thatis lost to internal energy duringthe collision? FIGURE P13.75
A 0.2-kg particle is travelling along the line y=2.0m with a velocity 5.0 m/s. What is the angular momentum of the particle about the origin?
A wad of sticky clay with mass m and velocity vi is fired at a solid cylinder of mass M and radius R (Fig. P11.29). The cylinder is initially at rest and is mounted on a fixed horizontal axle that runs through its center of mass. The line of motion of the projectile is perpendicular to the axle and at a distance d R from the center. (a) Find the angular speed of the system just after the clay strikes and sticks to the surface of the cylinder. (b) Is the mechanical energy of the claycylinder system constant in this process? Explain your answer. (c) Is the momentum of the claycylinder system constant in this process? Explain your answer. Figure P11.29
A bird flies overhead from where you stand at an altitude of 300.0 m and at a speed horizontal to the ground of 20.0 m/s. The bird has a mass of 2.0 kg. The radius vector to the bird makes an angle with respect to the ground. The radius vector to the bird and its momentum vector lie in the xy-plane. What is the bird’s angular momentum about the point where you are standing?
In a 2-body system, a space craft is in a circular orbit at a fixed radius B (450*10^8) around a central star of mass M (6*10^120) Determine the total energy and angular momentum of the circular orbit. (v/m = -E/m) and angular momentum (l/m) Both of these values are normalised by the mass of the spacecraft.
The homogeneous, solid cylinder with mass m = 4.7 kg and radius r = 0.56 m rolls along the inclined surface without slipping. If the initial angular velocity is ω1 = 2.6 rad/s (counterclockwise), and after a certain time lapse the angular velocity is ω2 = 2.8 rad/s (clockwise), determine the magnitude of the component of the linear impulse parallel to the inclined surface due to gravitational force during this time period. Let θ = 65o. Choose the correct answer: a) 20.71 N.s b) 11.94 N.s c) 7.106 N.s d) 19.49 N.s e) 21.32 N.s
A rod of mass M = 3.35 kg and length L can rotate about a hinge at its left end and is initially at rest. A putty ball of mass m = 65 g, moving with speed v = 4.37 m/s, strikes the rod at angle θ = 48° from the normal at a distance D = 2/3 L, where L = 0.85 m, from the point of rotation and sticks to the rod after the collision. What is the initial angular momentum of the ball, in kilogram meters squared per second, right before the collision relative to the pivot point of the rod? What is the total moment of inertia If with respect to the hinge, of the rod-ball-system after the collision, in terms of the variables from the problem statement? What is the angular speed ωf of the system immediately after the collision, in radians per second?
A planet is at a position of r→=3.0×10^12mx̂ − 4.0×10^12mŷ as it moves in an elliptical orbit around a large star at the origin (x=0, y=0). If the planet has a mass of 6.0 ×1026 kg and is moving with a velocity of v→=9.5km/sx̂, what is its angular momentum vector? (give magnitude and direction)
A 4.87 kg particle-like object moves in a plane with velocity components vx = 89.3 m/s and vy = 47.3 m/s as it passes through the point with (x, y) coordinates of (1.71, -1.11) m. Just then, in unit-vector notation, what is its angular momentum relative to (a) the origin and (b) the point (-8.18, -8.18) m?

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