An archer shoots an arrow toward a 300-g target that is sliding in her direction at a speed of 2.05 m/s on a smooth, slippery surface. the 22.5 -g arrow is shot with a speed of 35.5 m/s and passes through the target which is stopped by the impact. what is the speed of the arrow after passing the target?

A 50-g ball is shot into a chamber attached to a 500-g cart.  After the collision the ball/cart combination moves away with a speed of 3.0 m/s.  Assuming that friction and air resistance are negligible, determine the amount of energy lost in the collision.

Gayle runs at a speed of 3.60 m/s and dives on a sled, initially at rest on the top of a frictionless snow - covered hill. After she has descended a vertical distance of 5.00 m, her brother, who is initially at rest, hops on her back and together they continue down the hill. What is their speed at the bottom of the hill if the total vertical drop is 15.0 m? Gayle's mass is 46.5 kg, the sled has a mass of 5.10 kg and her brother has a mass of 30.0 kg.

an archer shoots an arrow toward a 0.3 Kg target that is sliding in her direction at a speed of 2.50 m/s on a smooth, slippery surface. The 0.0225 Kg arrow is shot with a speed of 35.0 m/s and passes through the target, which is stopped by the impact. What is the speed of the arrow after passing through the target?

a 600 gram banana sliding north on a frictionless table at 2.5 meters per second bounces of a 400 gram kiwi fruit that is initially at rest , after colliding the banana continues moving north at 0.5 meters per second. At the North edge of the track is a frictionless inclined ramp which the kiwi fruit slides up to then the kiwi comes back down the ramp , without losing energy , and will now be moving south , the kiwi will catch up and hit the banana again. How much momentum did the kiwi have just before the sticky collision ? how much just after ? how much did the kiwis momentum change ?

Gayle runs at a speed of 3.20 m/s and dives on a sled, initially at rest on the top of a frictionless snow-covered hill. After she has descended a vertical distance of 5.00 m, her brother, who is initially at rest, hops on her back and together they continue down the hill. What is their speed at the bottom of the hill if the total vertical drop is 15.0 m? Gayle's mass is 45.0 kg, the sled has a mass of 5.25 kg and her brother has a mass of 30.0 kg. m/s

A 67.9 g block hits a 140 g block initially at rest on a horizontal surface. After impact, they stick together and slide 9.22 m before coming to rest. The acceleration of gravity is 9.8 m/s2. If the coefficient of friction between blocks and surface is 0.34, what was the speed of the first block immediately before impact?

A gun fires a 21-gram bullet on a 1.8 kg wooden block hanging vertically at the end of string (The other end of the string is attached to a ceiling). The bullet embeds in the block, which swings upward a height of H. The speed of the bullet when leaving the gun is 250 m/s. Find H.

a 600 gram banana sliding north on a frictionless table at 2.5 meters per second bounces of a 400 gram kiwi fruit that is initially at rest , after colliding the banana continues moving north at 0.5 meters per second. At the North edge of the track is a frictionless inclined ramp which the kiwi fruit slides up to then the kiwi comes back down the ramp , without losing energy , and will now be moving south , the kiwi will catch up and hit the banana again. If the last collision took 20 milliseconds , what was the average force exerted by the banana on the kiwi during the collision (magnitude and direction ) ? by the kiwi on the banana?

A bullet weighing 3.00 g is fired horizontally into a 1.50 kg wooden block resting on a horizontal surface. The coefficient of kinetic friction between block and surface is 0.25. The bullet stays embedded in the block, which slides 0.25 m along the surface before stopping. What was the initial speed of the bullet and much thermal energy was generated during the collision?