A toy car having mass m = 1.25 kg collides inelastically with a toy train of mass M = 3.65 kg. Before the collision, the toy train is moving in the positive x-direction with a velocity of Vi = 2.20 m/s and the toy car is also moving in the positive x-direction with a velocity of vi = 4.50 m/s. Immediately after the collision, the toy car is observed moving in the positive x-direction with a velocity of 1.80 m/s. (a) Determine Vf, the final velocity of the toy train. (b) Determine the change ΔKE in the total kinetic energy. Assume friction and the rotation of the wheels are not important so that they do not affect ΔKE.

A toy car having mass m = 1.50 kg collides inelastically with a toy train of mass M = 3.60 kg. Before the collision, the toy train is moving in the positive x-direction with a velocity of Vi = 2.35 m/s and the toy car is also moving in the positive x-direction with a velocity of vi = 4.60 m/s. Immediately after the collision, the toy car is observed moving in the positive x-direction with a velocity of 1.90 m/s.       Determine the change ΔKE in the total kinetic energy. Assume friction and the rotation of the wheels are not important so that they do not affect ΔKE.           ------ joules

You are sitting in a sled, at rest on a pond covered with nice, thick, frictionless ice. Your own mass is 82.3 kg, and the mass of the sled when empty is 20.8 kg. From shore, someone throws a baseball of mass 0.122 kg to you, and you catch it; the horizontal component of the ball s velocity is 29.4 m/s. What will be the sled s (and your) speed with respect to the surface of the pond after you catch the ball? 17.1 cm/s 2.08 cm/s 3.47 cm/s 4.35 cm/s

Problem 9: A baseball of mass mj = 0.39 kg is thrown at another ball hanging from the ceiling by a length of string L = 1.35 m. The second ball m2 = 0.79 kg is initially at rest while the baseball has an initial horizontal velocity of V, = 3.5 m/s. After the collision the first baseball falls straight down (no horizontal velocity). Randomized Variables V, m1 = 0.39 kg m2 = 0.79 kg L= 1.35 m V1 = 3.5 m/s m, m,

An unstable nucleus of mass 1.7 ✕ 10−26 kg, initially at rest at the origin of a coordinate system, disintegrates into three particles. One particle, having a mass of m1 = 1.8 ✕ 10−27 kg,moves in the positive y-direction with speed v1 = 5.4 ✕ 106 m/s. Another particle, of mass m2 = 9.0 ✕ 10−27 kg, moves in the positive x-direction with speed v2 = 3.2 ✕ 106 m/s. Find the magnitude and direction of the velocity of the third particle. Answer the following:

1) A toy car having mass m = 1.35 kg collides inelastically with a toy train of mass M = 3.70 kg.Before the collision, the toy train is moving in the positive x-direction with a velocity of Vi = 2.10 m/s and the toy car is also moving in the positive x-direction with a velocity of vi = 4.70 m/s. Immediately after the collision, the toy car is observed moving in the positive x-direction with a velocity of 2.05 m/s. (a) Determine Vf, the final velocity of the toy train.  ____m/s(b) Determine the change ΔKE in the total kinetic energy. Assume friction and the rotation of the wheels are not important so that they do not affect ΔKE. ____J Question 6.1b:2) A block with mass M = 6.10 kg is sliding in the positive x-direction at Vi = 8.90 m/s on a frictionless surface when it collides elastically in one dimension with a stationary block with mass m = 1.40 kg. Determine the velocities, Vf and Vf of the objects after the collision. Vf= ___m/s Vf=___m/s

An inelastic collision occurs between a particle of mass 1.5 kg moving with an initial velocity of v = (−2ˆi − 1.3ˆj + 0.7kˆ) m/s and another particle of mass 0.8 kg that has an initial velocity of v = (5.6ˆi + 0.5ˆj + 4.3kˆ) m/s. What is the final velocity of the particles in unit vector notation?

An unstable nucleus of mass 1.7x10-26 kg, initially at rest at the origin of a coordinate system, disintegrates into three particles. One particle, having a mass of m1 = 1.8x10-27 kg, moves in the positive y-direction with speed v1 = 5.2x106 m/s. Another particle, of mass m2 = 8.0x10-27 kg, moves in the positive x-direction with speed v2 = 3.6x106 m/s. Find the magnitude and direction of the velocity of the third particle. (Assume that the +x-axis is to the right and the y-axis is up along the page.) magnitude          m/s direction         ° I know that the direction is 198.97, I keep getting my magnitude wrong. Help me find the magnitude

During a fireworks display, a 0.290-kg bottle rocket approaches the top of its trajectory and explodes into two pieces as in the figure. The first piece (Piece 1) has mass 0.190 kg and the second piece (Piece 2) has mass 0.100 kg.  Immediately after the explosion, the first piece is observed traveling to the left at a speed of  4.10 m/s  and the second piece is observed traveling at an angle  θ = 36.0°  above the horizon at a speed of  15.0 m/s. Determine the components of the bottle rocket's velocity immediately before the explosion. Vxi  =   m/s Vyi  =   m/s

During a fireworks display, a 0.290-kg bottle rocket approaches the top of its trajectory and explodes into two pieces as in the figure. The first piece (Piece 1) has mass 0.190 kg and the second piece (Piece 2) has mass 0.100 kg. Immediately after the explosion, the first piece is observed traveling to the left at a speed of 4.30 m/s and the second piece is observed traveling at an angle 0 = 33.0° above the horizon at a speed of 17.0 m/s. Piece 1 V, Piece 2 Bottle rocket Determine the components of the bottle rocket's velocity immediately before the explosion. Vyi = Vyi = m/s m/s