1. Let m1=200 g and m2=400 g encounter an elastic one dimensional head-on collision. If vli=6.0 m/s in +x-axis and v2i=0 then the final total kinetic energy equals to:

1. A bullet of mass m, = 0.0500 kg is fired into a block of wood of mass m₂ = 0.850 kg. This block of wood is hanging from light wires. The bullet embeds in the block and the bullet and block combined swing up to a height of h=0.350 m. What was the speed of the bullet (vu) right before it hit the block of wood (ignore friction)? a. 4.64 x 10³ m/s b. 2.62 m/s c. 44.5 m/s d. 47.1 m/s e. 123 m/s

43. Three 200-g objects have velocities given by v 15.0 m/s, v₂ = 6.71-3.45j m/s, and 3 = -6.71 - 4.32j m/s. Find the kinetic energy of the center of mass and the internal kinetic energy of this system. =

2) With a collision velocity V = 650 m/s, a 60-gram projectile collides and becomes embedded into a 30kg sand-filled box, which is initially at rest. Calculate the maximum deflection angle 0 and the total mechanical energy before and after the collision. 2m

16. A bead attached to a string of length = 10m is released from a very small angle o to the vertical. A wall is placed in the path of the bead such that the bead collides elastically with the wall when the string is at an angle 80/2 to the vertical, as shown. What is the time interval between the bead's collisions with the wall? ܀ 25)A) 3 S (B) 3T S (C) 4T 3 m S (D) 3 S (E) 2T S

A 3.50-g ping-pong ball travels with the horizontal speed of 13.6 m/s toward a wall. The ball bounces straight back with the speed of 10.2 m/s after interacting with the wall for 3.25 milliseconds. a) What is the average force exerted on the ball by the wall?   b) State whether the collision is elastic or non-elastic.  c) What percentage of mechanical energy has been lost during the collision?

A 0.020 kg bullet is shot horizontally and collides with a 2.00 kg block of wood. The bullet embeds in the block and the block slides along a horizontal surface for 1.50 m. If the coefficient of kinetic friction between the block and the surface is 0.400, what was the original speed of the bullet? Include a diagram of the situation.

6. A block of mass m, = 5.0 kg is released from a height of 5.0 m (point A) down a smooth, curved ramp. It makes an elastic head-on collision with a block of mass m; = 10 kg that is initially at rest. (a) What is the maximum height reached by m, after the collision? (b) After the collision, m2 glides smoothly until it hits a rough patch and eventually comes to a stop. What is the length of the rough patch if the coefficient of kinetic friction between m, and the rough patch is 0.350?

A 61g ball traveling at 6.3 m/s is caught by a 220g pendulum bob. The center of mass of the pendulum / ball system reaches a maximum height of 10.4 cm (relative to the initial rest position) after the collision. Calculate the kinetic energy of the pendulum/ball system in the instant after the collision (Kball+bob). Use L=30.2cm and R=26.3cm

A bullet, with mass 0.008 kg is fired into a block of wood with mass 1.96 kg suspended like a pendulum. The bullet makes a completely inelastic collision with the block, becoming embedded in it. After the impact of the bullet, the block swings up to a maximum height 0.079 m. Find the initial speed of the bullet? a) DVB V₂ Δε C M ب 6) /// hJ دو ► M+m