Three balls A,B, and C with masses 0.0500 kg, 0.0700 kg, and 0.0900 kg, respectively, are moving along the xy-plane and approaching the origin as shown in the figure below. Ignore friction. The initial velocities of balls A and B are shown in the figure. Suppose all three balls arrive the origin at the same time and stick together after the collision. What must be the x- and y-components of the initial velocity of ball C in order for the three balls to move along the +x-axis at 1.00 m/s after the collision?

Three balls A,B, and C with masses 0.0500 kg, 0.0700 kg, and 0.0900 kg, respectively, are moving along the xy-plane and approaching the origin as shown in the figure below. Ignore friction. The initial velocities of balls A and B are shown in the figure. Suppose all three balls arrive the origin at the same time and stick together after the collision. What must be the x- and y-components of the initial velocity of ball C in order for the three balls to move along the +x-axis at 1.00 m/s after the collision?

Similar questions

Two billiard balls of equal mass move at right angles and meet at the origin of an xy coordinate system. Initially ball A is moving upward along the y axis at 2.0m/sm/s, and ball B is moving to the right along the x axis with speed 3.7m/sm/s. After the collision (assumed elastic), the second ball is moving along the positive y axis. What is the final direction of ball A? Express your answer using two significant figures.
can you please provide the equations and how to solve these problems, thank you
Two shuffleboard disks of equal mass, one orange and the other green, are involved in a perfectly elastic glancing collision. The green disk is initially at rest and is struck by the orange disk moving initially to the right at voi = 3.00 m/s as in Figure a, shown below. After the collision, the orange disk moves in a direction that makes an angle of 0 = 35.0° with the horizontal axis while the green disk makes an angle of o 55.0° with this axis as in Figure b. Determine the speed of each disk after the collision. Vof = m/s Vaf = m/s After the collision Before the collision Need Help? Watch It Read It
One object is at rest, and another is moving. The two collide in a one-dimensional, completely inelastic collision. In other words, they stick together after the collision and move off with a common velocity. Momentum is conserved. The speed of the object that is moving initially is 29 m/s. The masses of the two objects are 2.8 and 8.8 kg. Determine the final speed of the two-object system after the collision for the case (a) when the large-mass object is the one moving initially and the case (b) when the small-mass object is the one moving initially.
A billiard player sends the cue ball toward a group of three balls that are initially at rest and in contact with one another. After the cue ball strikes the group, the four balls scatter, each traveling in a different direction with different speeds as shown in the figure below. If each ball has the same mass, 0.16 kg, determine the total momentum of the system consisting of the four balls immediately after the collision. (Assume v1 = 0.33 m/s, ?1 = 70°, v2 = 0.49 m/s, ?2 = 30°, v3 = 0.23 m/s, v4 = 0.48 m/s.)
Two clay balls collide and stick. Ball 1 has a mass of 3 kg and an initial velocity of 10 m/s in the positive x direction. Ball 2 has a mass of 10 kg and an initial velocity of 12 m/s in the negative x direction. What is the final velocity of the combined mass?
Two billiard balls of identical mass move toward each other as shown in the figure. Assume that the collision between them is perfectly elastic. If the initial velocities of the balls are v1i = +34.3 cm/s and v2i = −20.1 cm/s, what are the velocities of the balls after the collision? Assume friction and rotation are unimportant. (Indicate the direction with the sign of your answer.) v1f = cm/s v2f = cm/s
Two boxes make a perfectly elastic collision on a horizontal frictionless surface as shown in the figure. Box with mass m= 8.0 kg and speed of 4.50 m/s collides with box M. After the collision, box m recoils with a speed of 0.75 m/s. The boxes are in contact for 0.30 s. The magnitude of the average force on the 8.0 kg box, while the two blocks are in contact, is
(Note: Please be careful with roundoff error in this problem.) The drawing shows a collision between two pucks on an air-hockey table. Puck A has a mass of 2.7 kg and is moving along the x axis with a velocity of +5.5 m/s. It makes a collision with puck B, which has a mass of 6.7 kg and is initially at rest. After the collision, the two pucks fly apart with the angles shown in the drawing. 65" +5.5 m/s 37° At rest Before collision After collision (a) Find the final speed of: puck A: x m/s 2.077 puck B: x m/s 3.123 (b) Find the kinetic energy of the A+B system: before the collision: (40.83 after the collision: 38.45 x J What type of collision is this? somewhat inelastic
A cue ball of mass m1 = 0.365 kg is shot at another billiard ball, with mass m2 = 0.595 kg, which is at rest. The cue ball has an initial speed of v = 5.5 m/s in the positive direction. Assume that the collision is elastic and exactly head-on. Write an expression for the horizontal component of the billiard ball's velocity, v2f, after the collision, in terms of the other variables of the problem. What is this velocity, in meters per second? Write an expression for the horizontal component of the cue ball's velocity, v1f, after the collision. What is the horizontal component of the cue ball's final velocity, in meters per second?
A projectile has undergone an elastic one-dimensional collision with an initially stationary target, along an x axis. The figure below is a graph of position versus time for the projectile and target, before and after the collision. (Two line segments are parallel to the time axis.) Which is true about the masses of the projectile and target? 4 O the projectile's mass is greater O the target's mass is greater O the masses are equal
Two identical pucks collide on an air hockey table. One puck starts at rest. The incoming puck has a speed of 6.00 m/s and scatters to an angle of 30.0º. Use the fact that Θ1 – Θ2 = 90º for elastic collisions of objects that have identical masses — in other words, the pucks move apart at a right angle. (a) Sketch the collision, with angles labeled. (b) What is the velocity (magnitude and direction) of the second puck after it is struck?