A system consists of two particles. At t = 0 one particle is at the origin; the other, which has a mass of 0.50 kg, is on the y-axis at y = 6.0m. At t = 0 the center of mass of the system is on the y-axis at y = 2.4m. The velocity of the center of mass is given by ( 0.75 m/s3) t2i^Find the total mass of the system.Find the acceleration of the center of mass at any time tFind the net external force acting on the system at t = 3.0 s.
A system consists of two particles. At t = 0 one particle is at the origin; the other, which has a mass of 0.50 kg, is...
A system consists of two particles. At t = 0 one particle is at the origin; the other, which has a mass of 0.50 kg, is on the y-axis at y = 6.0 m. At t = 0 the center of mass of the system is on the y-axis at y = 2.4 m. The velocity of the center of mass is given by ( 0.75 m/s}^3 ) t^2 \hat i. A)Find the total mass of the system B)Find the...
At one instant, the center of mass of a system of two particles is located on the x-axis at x = 2.0 m and has a velocity of (5.0 m/s ) i^. One of the particles is at the origin. The other particle has a mass of 0.10 kg and is at rest on the x-axis at x = 8.0 m. What is the mass of the particle at the origin? Calculate the total momentum of this system. What is...
Three particles lie in the xy plane. Particle 1 has mass m1 = 6.7 kg and lies on the x-axis at x1 = 4.2 m, y1 = 0. Particle 2 has mass m2 = 5.1 kg and lies on the y-axis at x2 = 0, y2 = 2.8 m. Particle 3 has mass m3 = 3.7 kg and lies at the origin. What is the magnitude of the net gravitational force on particle 3?
The position of a particle of mass m = 0.80 kg as a function of time is given by ⃗r = xˆi + yˆj = (Rsinωt)ˆi + (Rcosωt)ˆj, where R = 4.0 m and ω = 2πs−1. (a) Show that the path of this particle is a circle of radius R, with its center at the origin of the xy plane. (b) Compute the velocity vector. Show that vx/vy = −y/x. (c) Compute the acceleration vector and show that it...
In the figure, two particles are launched from the origin of the coordinate system at time t = 0. Particle 1 of mass m1 = 5.80 g is shot directly along the x axis (on a frictionless floor), where it moves with a constant speed of 10.7 m/s. Particle 2 of mass m2 = 1.80 g is shot with a velocity of magnitude 25.0 m/s, at an upward angle such that it always stays directly above particle 1 during its...
(1 point) A body of mass 10 kg moves in the xy-plane in a counterclockwise circular path of radius 3 meters centered at the origin, making one revolution every 11 seconds. At the time t 0, the body is at the rightmost point of the circle. A. Compute the centripetal force acting on the body at time t. B. Compute the magnitude of that force. HINT. Start with finding the angular velocity o [rad/s] of the body (the rate of...
In the figure, two particles are launched from the origin of the coordinate system at time t = 0. Particle 1 of mass m1 = 3.20 g is shot directly along the x axis (on a frictionless floor), where it moves with a constant speed of 10.3 m/s. Particle 2 of mass m2 = 3.00 g is shot with a velocity of magnitude 19.2 m/s, at an upward angle such that it always stays directly above particle 1 during its...
Question 1 In the figure, two particles are launched from the origin of the coordinate system at time t = 0. Particle 1 of mass my - 5.20 g is shot directly along the x axis (on a frictionless floor), where it moves with a constant speed of 10.4 m/s. Particle 2 of mass m2 - 3.80 g is shot with a velocity of magnitude 17.0 m/s, at an upward angle such that it always stays directly above particle 1...
QUESTION 1 Two skaters, one of mass 80 kg, the other of mass 40 kg, are standing next to each other on frictionless ice rink. The 40 kg skater pushes the 80 kg skater. After the push, the 80 kg skater is going at 1 m/s. How fast and in what direction is the 40 kg skater going after the push? (HINT: use the fact that since there are no external forces, the velocity of the center of mass of...
Three forces are applied on a particle of mass m= 15 kg located at the origin, as show below. The magnitudes are given to be FA = 15 N, FB = 35 N, Fc = 22 N, and the directions are 04 = 53°, measured from the negative x-axis, 03= 32°, measured from tl positive x-axis, and the direction of Fc is along the negative y-axis. a. Calculate the magnitude the net force on the particle. b. Calculate the direction...