A 6.87 kg red ball initially has velocity x-component v​red,i,x​​=9.77 and a 7.67 kg green ball initially has velocity x-component v_{green,i,x}​​=2.00. The two balls collide and afterwards the red ball has velocity x-component v_{red,f,x}=1.37. If there are no external forces acting on this system of two balls, what must the final velocity x-component of the green ball be?

Kyle, a 80.0 kg football player, leaps straight up into the air (with no horizontal velocity) to catch a pass. He catches the 0.430 kg ball precisely at the peak of his jump, when he is 0.437 m off the ground. He hits the ground 0.0358 m away from where he leapt. If the ball was moving horizontally when it was caught, how fast u was the ball traveling? Vs m/s

During a circus act, a performer thrills the crowd by catching a cannon ball shot at him. The cannon ball has a mass of m1 = 8.5 kg and the horizontal component of its velocity is v = 8.25 m/s when the performer, of mass m2 = 70.5 kg, catches it. a)If the performer is on nearly frictionless roller skates, enter an expression for his recoil speed, in terms of the masses and initial speed.  b)What is his recoil speed, in meters per second?

A baseball of mass m1 = 0.27 kg is thrown at another ball hanging from the ceiling by a length of string L = 1.05 m. The second ball m2 = 0.77 kg is initially at rest while the baseball has an initial horizontal velocity of V1 = 3.5 m/s. After the collision the first baseball falls straight down (no horizontal velocity). (a) Select an expression for the magnitude of the closest distance from the ceiling the second ball will reach d. (b) What is the angle that the string makes with the vertical at the highest point of travel in degrees?

There are two curling stones sitting on an icy surface (fricionless). Call one the target and one the projectile. The projectile is initially moving along the x-axis towards the +x-direction, and the target is initially stationary. Each curling stone has a mass of 15.6 kg. The moving stone (projectile) has an initial velocity of 3.94 m/s and collides with the stationary stone (target) "dead center." The projectile stone comes to a rest where the target stone was, but the target stone breaks apart into two chunks with a total mass of 15.6 kg. One chunk has a mass of 4.18, and slides with a velocity of 5.58 m/s with a -90° angle relative to the +x direction. What is the velocity of the second chunk of curling stone in m/s?

A 20.0-kg toboggan with 58.3-kg driver is sliding down a frictionless chute directed θ = 27.6° below the horizontal at 7.70 m/s when a 55.0-kg woman drops from a tree limb straight down behind the driver. If she drops through a vertical displacement of 2.00 m, what is the subsequent velocity of the toboggan immediately after impact?

Please answer question 7

As shown in the figure, a wooden ball with mass m₂ is initially at rest on a horizontal, frictionless table. A second wooden ball with mass m₁ moving with a speed 2.00 m/s, collides with m₂. Assume m₁ moves initially along the +x-axis. After the collision, m₁ moves with speed 1.00 m/s at an angle of 0 = 53.0° to the positive x-axis. (Assume m₁ = 0.200 kg and m₂ 0.300 kg.) a my = Before the collision Vi mq b After the collision (a) Determine the speed (in m/s) of the 0.300 kg ball after the collision. m/s "If sin 0 Vof sin o Vif cos Fif Vof Cosp 2f (b) Find the fraction of kinetic energy transferred away or transformed to other forms of energy in the collision. |AK| K₁ =

A cannon of mass 6.13 x 10³ kg is rigidly bolted to the earth so it can recoil only by a negligible amount. The cannon fires a 74.5-kg shell horizontally with an initial velocity of 590 m/s. Suppose the cannon is then unbolted from the earth, and no external force hinders its recoil. What would be the velocity of a shell fired from this loose cannon? (Hint: In both cases assume that the burning gunpowder imparts the same kinetic energy to the system.) Number i Units ◄►

Shot put is a track and field event in which a heavy spherical ball (the "shot") is thrown (or "put", using the sport's terminology) as far as possible. A "shot" with mass of 6.6 kg is "put" into the air. Its initial speed is 9.6 m/s, directed at an angle 54 degrees above the horizontal. After 0.16 seconds, what is the horizontal component of the ball's velocity (in m/s)?