Two particles A and B are moving towards each other along the x-direction with speeds VA = 2 m/s and vB = 2 m/s, as shown in the figure below. The masses are respectively mA =1 kg and mB = 1.2 kg. The coefficient of restitution e = 0.5. y A V B X Calculate the x-component of the velocity vector of particle A after impact (magnitude and sign); give your answer in the coordinate system shown in m/s. O VAX=-2.36 m/s O VAX=-1.27 m/s O VAX=-0.18 m/s O VAX= 2 m/s
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- A 9 kg space rock has velocity vector v = 19 i (m/s). It collides with a second 15 kg space rock, which is initially at rest. The second rock is then observed to fly away with a speed of 5 m/s in a direction that is 31 degrees below the horizontal. Calculate the final speed of the first space rock, in m/s. (Please answer to the fourth decimal place - i.e 14.3225)One of the first ion engines on a commercial satellite used Xenon as a propellant and could eject the ionized gas at a rate of 2.97 ✕ 10−6 kg/s with an exhaust speed of 3.04 ✕ 104 m/s. What instantaneous thrust (in N) could the engine provide? (Enter your answer to at least three significant figures. Enter the magnitude.) NAnswer parts d, e and f
- A 60.3 kg block is sliding along a frictionless surface with a speed of 20.2 m/s. It collides elastically with a second block of mass 12.9 kg. The second block is initially at rest. If this collision is one dimensional, what is the speed (in m/s) of the first block after the collision?CES Chapter 13, Problem 010 GO Two dimensions. In the figure, three point particles are fixed in place in an xy plane. Particle A has mass m, = 5 g, particle B has mass 2.00ma, and particle C has mass 3.00mA. A fourth particle D, with mass 4.00ma, is to be placed near the other three particles. What (a) x coordinate and (b) y coordinate should particle D be placed so that the net gravitational force on particle A from particles B, C, and D is zero (d = 17 cm)? em em BO plem 1.5d blem oblem roblem Units (a) Number Problem Units (b) Number Problem Click if you would like to Show Work for this question: Open Show WorkPool players often pride themselves on their ability to impart a large speed to a pool ball. In the sport of billiards, event organizers often remove one of the rails on a pool table to allow players to measure the speed of their break shots (the opening shot of a game in which the player strikes a ball with his pool cue). With the rail removed, a ball can fly off the table, as shown in the figure. h d The surface of the pool table is h = 0.750 m from the floor. The winner of the competition wants to know if he has broken the world speed record for the break shot of 32 mph (about 14.3 m/s). If the winner's ball landed a distance of d = 5.15 m from the table's edge, calculate the speed of his break shot vo. Assume friction is negligible. m/s
- Two rolling carts are moving toward each other at the same constant speed of 10m/s. Cart 1 travels to the right with a mass m1 = 0.2kg and while Cart 2 travels to the left with a mass m2 = 0.4kg. Draw a velocity vector v→ for each cart.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…Two smooth disks A and B each have a mass of 0.5 kg. Both disks are moving with the velocities shown when they collide. The coefficient restitution is e = 0.7. Suppose that (v₁)₁ = 6 m/s, (VB)₁ = 5 m/s. (Figure 1) Figure B / (VB) 1 (VA)₁ A 1 of 1 > Part A Determine the magnitude of the final velocity of A just after collision. Express your answer to three significant figures and include the appropriate units. (VA)2 = Submit Part B 0₁ = μA Submit Value Request Answer Determine the angle between the x axis and the final velocity of A just after the collision, measured counterclockwise from the positive x axis. Express your answer in degrees to three significant figures. 17| ΑΣΦ 41 | vec | Units Request Answer ? wwwwww P ? 0
- A 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/sA rod of length 3 meters with density 8(x) = 1.1 + 1.1x4grams/meter is positioned along the positive x-axis, with its left end at the origin. Find the total mass and the center of mass of the rod. Round your answers to four decimal places. The total mass of the rod is i The center of mass of the rod is i grams. meters.Suppose an object of mass m, initially travelling with a velocity v1, collides with an object of mass m initially at rest. Prove that the angle between the velocity vectors of the two objects of the two particles after the collision is 90 degrees.