6/1/07

"Spidey's Bad Day"

Question: Spiderman stands atop the Empire State Building in New York City. Having accidently thrown off and killed his love, MJ, he throws himself off of the building at 45mph southward in order to commit suicide. Halfway down his fateful fall, Spiderman sees that MJ has safely landed in an airbag provided by police 9.3 seconds before. Spidey then shoots out his webline to the nearest building, 250ft away. He swings from there at 345 rev/min and almost makes contact with the ground, which is 2.9 ft from his rear end. His feet do make contact with the front bumber of a taxi, which was travelling 25 mph in the opposite direction of Spidey's swing. Spidey, being consedrably stronger than the taxi, kicks the taxi at a 25° angle with the ground, making it shoot into the window of a hotel building, flying through the two bedroom suete of Mysterio's mistress, whom was making out with another man 3.5 min before the taxi arrived at their window. The car continues 100 ft more before flying out the other side of the hotel and landing on the street 60ft below, landing on its hood. Meanwhile, Spidey continues his swing on his original webline. He shoots straight up into the air at 85mph. As he comes to a stop in mid-air, he shoots out two more web lines in opposite directions. Webline A hits the top of the aforementioned Empire State Building at 345 ft/hour and breaks 25.3 window panes, shattering 395,747.1 pieces of glass onto the desk workers inside. Webline B crashes through the airduct of the Flatiron Building, causing the air conditioning system to release Freon at 35mph at a 92° angle with the roof. Spiderman now starts to fall down, causing the tension in the two weblines to increase at 2.5 lbs/sec. Webline B eventually tears off the air conditioning unit of the Flatiron Building, causing a crashing noise at 92db and making 395 workers, plus J. J. Jameson, to begin to sweat. The air conditioning unit, which is 95.4% intact, flies off the building and into Madison Square Park, crashing through 12 trees, disrupting the walks of 23 people, causing 28.8 birds to fly the coop, and breaking 2 light poles. The air conditioning unit then slides out onto the street, managing to slide between 1 bus and 3 taxis (causing 27.5 people to gasp) before crashing into a Ford Four-door extended cab. The webline finally breaks, making Spidey swing to one side during his decent and splat into the side of a 1250 ft tall building before falling into the police provided air bag. Given that the taxi driver of the first taxi did not have his meddalion, Spiderman's weblines have the tensile strength of steel, Mysterio is not insane or gay, and Jameson's blood pressure is below 160 over 90, how much money will Jameson pay to get a good picture for the Daily Bugle's front page story, "Spidey's Bad Day"?


Answer: $1,955,747.92 or $1,870,642.91 plus funds for a time machine if he wants it from Peter Parker.


A Trip to the Store

Question: A woman in a grocery store pushes her shopping cart at 2 meters/sec down Aisle 9. She stops 15 meters down the aisle and turns 180° to pick up a 1.2lb pack of toilet paper that dropped off the back of her cart. As she leans over, her posterior pushes into the cart at 1.2 Newtons. The floor happens to be sloped at a 1.89375° angle downward, causing the cart to accelerate at 1.9 meters/second². The cart travels 45 more meters down the aisle where it runs into a second unattended cart. The second cart begins to travel at 5 meters/second down the same asile, accelerating at 2.4 meters/second². Cart 2 then rams into the metal stop bar at the deli counter, which happens to be disconnected from the floor in all but one point. The bar swivels 7.8° around the single support point and hits a third cart, situated 10.2 meters from the opposite side of the support point. Cart 3 then accelerates down aisle 7, causing 4.8 shoppers to duck out of the way. Cart 3 now rams into, and inserts itself into, a 4th Cart. The combined Cart 3 and 4 now travel 25 meters more until they come to an abrupt stop against check-out counter number 5. The 24.9lb Watermelon that was in Cart 3 now rolls up the Cheerios box that is leaning at a 47.9° angle against the front of the cart. The watermelon's momentum carries it up the ramp at 25mph. It arches over the checkout counter and lands in a 5th Cart, which is 22.5% full of groceries. Cart 5 now moves forward, accelerating at 7.9 meters/second$sup2; on a down hill slope. Cart 5 now rolls out of the store, causing 3 children to be pulled out of the way and causing 8.9 people to stop and stare. The cart now rolls into the street at 35 mph, making 2 trucks, 3 cars, and a bicycle to come to a stop to let it pass. Cart 5 now manages to roll across the 5457 meter long parking lot, accelerating down a 2.67589° slope towards the road. A Mack truck, which is 10 minutes late for his delivery, now travels westward along the Pennsylvania Interstate #78. Cart 5 now rolls off the grocery store parking lot and into the highway. The Driver of the Mack truck sees the cart and puts on both the normal and Jake Brake. They collide at a 90° angle, causing the watermelon to launch onto the windshield of the Mack truck and making the cart get tangled up in the undercarriage. Given that the watermelon was ripe, a child counts as a third of a person, the grocery store was an old K-Mart and was at one point level, and that the Interstate was backed-up for less than 10 hours, how much money does the woman owe?


Answer: ± $145,792 - If the woman was not a blond, not over the average weight limit, not of African decent, not a teenage mother, and not on welfare, the woman owes the grocery store $35874, the Mack Truck company $64587, the people who had to dodge the cart $45330, and the shopping cart company $1. If any of the conditions above are true, then all the parties mentioned owe her the given amounts.


Bouncy Ball Drop

Question: A man is standing on top of a 100ft.. high building. The man drops a bouncy ball, which has a bounce ratio of 0.89, off the side of a building onto a roof of a parking garage, which is 30ft. high. The ball bounces off of the roof of a minivan, then off of the roof of a sedan, then off of the seat of a convertible. The ball then bounces off of the 31° sloped windshield of a Porsche, causing its high-sensitivity alarm to sound at 105.2 db. The owner of the Porsche, who was 35ft. from the car and walking away at 5 miles/hour, turned and pulled a hand gun in 2.5 sec and shot the gun at the man on the building. The 35mm bullet left the barrel at 1412.1 meters/sec and traveled 197 ft. to hit the man in the ear. The man, in pain, tumbled over the edge of the building and landed on the minivan, causing a dent 6 in. deep and making 3.4 kids scream from inside. Meanwhile, the bouncy ball travels downward to street level and bounces off the 80° forehead of a pedestrian walking 6 miles/hour westward. The ball bounces off of the roof of a car traveling 10 miles/hour in the opposite direction and then bounces off the vertical side of a crane, which was lifting 3000kg of metal. It traveled 3 street blocks at 20 miles/hour during which it bounced between 18 pedestrian’s feet, intrigued the curiosity of 3 children, was chased by 2.3 dogs, swatted at by 13 cats (2 of which were black), and bounced off of 4 waiters’ serving platters. It then bounced off a pedestrian-crossing light, causing the light to change 2.4 seconds early which caused 56 pedestrians to almost get run over. The ball then bounced off a manhole cover that was propped at a 85° angle and fell 146.2ft. down into the sewer and fell into water that was contaminated with 45% feces, 54% urine, and 1% alligator. Assuming that Chihuahuas are a 3rd of a dog, the man who owns the Porsche was not dark-skinned, and the city is not in California or New York, how much money will Toys ‘R Us make off of this bouncy ball?


Answer: $23,024 – Assuming that the ball is $8 in the US and the equivalent of $12 in Japan, the 3 children that were intrigued by the ball plus the 3.4 in the car will tell their friends about the ball and its adventure, and those friends will tell theirs, and their friends tell theirs, until it is a sixth hand account. By then, 4157 kids (including the 219 in Japan) will know about the ball and pester their parents/guardians to buy it for them. However, only 2875 kids’ parents in the States and 2 in Japan will buy it from Toys ‘R Us. The remaining number will buy it off E-Bay for $3.50.

The Fisherman's Boat

Question: A fisherman unties his boat from the dock and jumps into the stationary boat at a rate of 5 meters/sec. He lands in the boat but, since his center of gravity was off balance, falls over backwards at 6.3 rev/sec, sending the boat away from him and the dock at 15 knots/hour. The boat continues away from the dock, decelerating due to water resistance at a rate of 1 knot/sec². It comes to a stop and, 5.3 sec later, another boat nearly collides with it. The second boat had to turn 45° to the left in 2.5 sec to dodge the boat, causing the driver of the boat to collide with a passenger next to him at 56 meters/hour and causing the passenger to fall overboard into the water 2.3 meters away from the first boat. The second boat now turns around at 45 rev/min and comes back to pick up its overboard passenger. However, a third boat was not watching out for this and had to turn 60° to the right in 1.8 sec in order to avoid collision. The collision was avoided but the driver of the third boat was thrown onto the second boat at 50 miles/hour and collided with the second boat's diver, causing them to be thrown to the floor at 25 miles/hour each and decreasing their IQ levels 12 points an 20 points respectively. The third boat, now driverless, speeds away at 60 knots/hour. It travels 3546.2 meters before colliding with a waterfront restaurant, causing $45,000 in damage to the restaurant, disrupting the meals of 53 people, staining the dresses of 32 women, causing cracks to spider in 27 window panes, and causing 2.7 babies to cry. How many fish were caught by the combined effort of the fisherman, the driver of the third boat, the passenger of the second boat, and the cook of the waterfront restaurant?

Answer: 3 - The passenger caught a fish in her pants after falling in, the cook caught a fish in his face after the quake that ensued from the boat crash caused a prepared salmon dish to fall from a high shelf, and there was still one minnow left in the fisherman's boat after it nearly capsized.

The Laundry Cart

Question: A man in a Laundromat throws a 35kg bag of laundry into a stationary laundry cart at 35 meters/sec. The cart starts moving at 15 meters/sec. towards the glass pane window. It crashes through the glass front window pane and falls at an acceleration of 9.8 meters/sec² onto a road in San Francisco. The cart turned 90° to the right down as it bounced off a car and caused the horn to beep at 95 db. The laundry cart accelerates 10 meters down the 35° grade hill before the road flattens out for an intersection. The cart passes 3.5 meters away from a trolley that was moving perpendicular to it, causing 7.5 people to gasp. The trolley continues forward onto a 45° grade hill and travels for 50 meters down it, scraping paint off of 2 cars and almost running over 3 pedestrians. The road levels out again and a car traveling perpendicular to the cart at ½ the speed must turn 35° to the right in 2.4 sec to dodge it. A second car dodges the cart in the same manner, but travels left and car A and car B collide, causing the two combined cars to travel southward 5.3 meters before coming to a stop. The cart continues 67 meters down a 50° slope before leveling out a final time. It travels 76 meters across 3 sidewalks and almost collides with 5.1 pedestrians before being propelled off the end of a dock at 70 miles/hour into the San Francisco Bay. Assuming that all intersections are 20 meters across and babies count as 1 tenth of a pedestrian, how much money did the man in the Laundromat spend during his trip, not counting legal fees?


Answer: There is not enough information to solve this problem. We must know what kinds of cars were damaged, how large the window pane was, how many loads of laundry were completed, and how much his medical bill cost after he was hit by a car during his chase of the laundry cart.