An archer shoots an 18.0-gram arrow at a 43.0-gram target on a wall 32.0 m high. If the arrow is shot at a velocity of v0 = 60.0 m/s, the speed of the arrow is 54.5 m/s when it reaches the target. If the arrow becomes embedded in the target and they both fly off the wall together, at what speed will they leave the wall?

Dr. Jekyll (m = 70kg) is riding a skateboard when he realizes the cranberry juice he’s drinking is sweetened with artificial sweetener and turns into Mr. Hyde (m = 155kg). If Dr. Jekyll was initially moving at 6.5m/s, what is Mr. Hyde’s speed? (assume no external forces act)

Two blocks with masses m1 = 1.4kg and m2 = 4.6kg are at rest on a frictionless surface with a compressed spring between them. When the blocks are let go, block 1 is observed to have a velocity of 4.4m/s to the left. What is the speed of block 2?

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The Hulk (200kg of pure angry muscle)collides head-on with a truck (2500kg). If the Hulk was running at 10.0m/s and the truck was moving at 15.0 m/s in the opposite direction, after they stick together, what is their speed (in m/s)? Either the Hulk or the truck needs a negative initial velocity.

An astronaut is playing with a ping pong paddle and ball in zero gravity. The astronaut is 12m from a flat wall and floating toward it at 4m/s. A ping pong ball bounces back and forth between his paddle and the wall at 11m/s. Eventually, the astronaut reaches the wall and traps the ball against it. (The ball’s collisions are “elastic”, meaning the ball does not lose energy so its speed is constant.) (The astronaut is much more massive than the ball, so the ball bounces don’t affect his/her speed.) Through what distance does the ball travel during this process in m?

An outfielder throws a 0.148 kg baseball with velocity 30 m/s at 25° above horizontal. Ignoring air resistance: what KE did the ball have, at its peak (highest point)?

3m v = 0 7. A projectile is launched at a 53° angle with a speed of 100 m/s. At the highest point, the projectile explodes into two parts, one three times heavier than the other. After the explosion, the lighter fragment's initial velocity is zero. a. What is the speed of the projectile just before the explosion? [60.2] b. What is the speed v of the heavier fragment just after the explosion? i) How high is the projectile when the explosion happens? ii) How long does it take each piece to reach the ground? с. d. i) How far horizontally is the projectile when the explosion happens? ii) If the projectile hadn't exploded, how far from the launch point would it have landed? (480.8m & 961.6m] e. What is the location of each fragment from the launch point when they hit the ground? [480.2m, 1121.76 m] f. i) What is the location of the center of mass of the two fragments when they land? ii) How does this compare with your answer in part d.ii?

A man walks up to you and hands you an energy drink with mass 0.4 kg. You decide energy drinks aren't for you and throw it on the ground. At the moment the energy drink leaves your hand, it is moving downwards with a speed of 7 m/s and is 1 meter above the ground. Calculate the speed of the energy drink in m/s just before it impacts the ground. As before, assume g = 10 m/s^2. You may neglect air friction. Round your answer to one decimal place.

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