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A system consists of three identical 19.32-lb particles A, B, and C . The velocities of the particles are, respectively, vA = vA j, vB = vBi, and vC = vCk., and the magnitude of the linear momentum L of the system is 9 Ib.s. Knowing that HG= HO , where HG is the
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- Final Answer should be in 3 significant figures.Three point particles of mass 1 kg, 1.5 kg and 2.5 kg are placed at three corners of a right triangle of sides 4.0 cm, 3.0 cm and 5.0 cm as shown in the figure. The centre of mass of the system is at the point: a. 0.9 cm right and 2.0 cm above 1 kg mass b. 2.0 cm right and 0.9 cm above 1 kg mass c. 1.5 cm right and 1.2 cm above 1 kg mass d. 0.6 cm right and 2.0 cm above 1 kg massA puck of mass m₂ = 72.0 g and radius r₁ = 3.70 cm glides across an air table at a speed of = 1.50 m/s as shown in Figure a. It makes a glancing collision with a second puck of radius r₂ = 6.00 cm and mass m₂ = 105 g (initially at rest) such that their rims just touch. Because their rims are coated with instant-acting glue, the pucks stick together and rotate after the collision (Figure b). m₁ m₂ b (a) What is the magnitude of the angular momentum of the system relative to the center of mass? kg. m²/s (b) What is the angular speed about the center of mass? rad/s
- Q.9A particle with mass mA = 3.00 kg is located at rA = (2.50 i + 3.50 j) m, and a second particle of mass m2B = 5.00 kg is located at rB = (1.50 i – 3.00 j) m. Find the location of the center of mass of the system relative to the point (1,1).PROBLEM 4: Solid spheres A and B with both of each mass of 2 kgs undergo a direct central impact. Before impact, A is moving to the right with a velocity of 4 m/s and B is stationary. Determine the velocity of A after impact if the impact is perfectly plastic.
- Mass MAMAM_A = 33 kg and massMB= 30 kg, They have velocities (in m/s) ,v→A = 12 i^ - 20 j^ and v→B = - 20 i^ + 13 j^. Part A Determine the velocity of the center of mass of the system.Need help with parts (d) and (e). Answers to (a), (b), and (c) are 40 m/s, -72 Ns, and 72 Ns, respectively.1. The launcher is set to launch a projectile horizontally. Once launched, the projectile will immediately go into the pendulum (the “catcher” in the diagram), causing the pendulum to swing. Considering momentum, sum all the momenta of the situation after the ball is launched but before it goes into the pendulum. Do not consider the recoil of the launcher. 2. When the ball gets caught by the pendulum, what kind of collision is this (elastic or inelastic)? What is the momentum after the collision? Using conservation of momentum, derive an equation for the velocity of the ball/pendulum combo immediately after the ball is caught (and before the pendulum starts to swing upward). The equation can depend on the mass of the ball, the mass of the pendulum, and the initial velocity of the ball. 3. The pendulum will start to swing upwards. At the beginning of its swing, what kind ofenergy does the pendulum have? It will swing up to a certain angle where it will temporarily stop. What kind of…
- Problem 3: A particle with mass ma = 3.00 kg is located at ra = (2.50 i + 3.50 j) m, and a second particle of mass m2B = 5.00 kg is located at rB = (1.50 i - 3.00 j) m. Find the location of the center of mass of the system relative to the point (1,1).A system of three particles with masses m1 = 3.0 kg, m2 = 4.0 kg and m3 = 8.0 kg is placed on a two dimensional xy plane. The scales on the axes are set by x, = 2.0 m and y, = 2.0 m. y (m) mg m1 * (m) Figure 2 (a) Find out the x coordinate of the system's center of mass. (b) Find out the y coordinate of the system's center of mass. (c) Find out the acceleration of the system if an external force of 5 N acts on it.A 4,600 kg open train car is rolling on frictionless rails at 21.1 m/s when it starts pouring rain. A while later the car's speed is 19.5 m/s. What mass of water has collected in the car? Provide your answer in appropriate units of meters (m), seconds (s), kilograms (kg), radians (rad) or combinations thereof, such as m/s or m/s^2. Use at least three significant figures in your answer, do not use scientific notation. Using more significant figures will not be considered incorrect; using fewer may lead to errors due to rounding.