Questions and Answers > 6.1.3 Final Exam: Semester 1 Test Physics Sem 1 Points Possible:100

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6.1.3 Final Exam: Semester 1 Test Physics Sem 1 Points Possible:100 Date: 1/22/2021 In this test, you will apply what you have learned in the semester. Answer the questions below. Submit this ... to your teacher when you are done and show all your work on the test. Question 1 (10 points) Perform the following unit conversions. (2 points each) British to SI Conversion Table 1 mile = 5280 feet 1 yard = 3 feet 1 centimeter = 10 millimeters 1 kilogram = 1000 grams 1 kilometer = 1000 meters 1 liter = 1000 milliliters 1 meter = 100 centimeters 1 pound = 0.454 kilograms 1 foot = 0.305 meters 1 gallon = 3.79 liters 1 inch = 2.54 centimeters 1 mile = 1.61 kilometers 1 ounce = 28.35 grams 1 quart = 0.946 liters a. Convert 18 centimeters to inches. 7.09 inches b. Convert 240 kilograms to pounds. 529.11 pounds c. Convert 13 miles to feet. d. Convert 18 ounces to grams. e. Convert 234 grams to kilograms. Question 2 (13 points) A diver of mass 101 kg jumps upward off a diving board and into the water. The diving board is 6 m above the water. a. When the diver jumps, she has a speed of 1.2 m/s. How much kinetic energy does she have? (4 points) b. How much gravitational potential energy will she have gained at her highest point? Explain how you found the answer. (3 points) c. Based on the diver's speed from part (a), how high above the board will she rise? (4 points) d. How fast will the diver be moving when she hits the water? (2 points) Question 3 (12 points) At the beginning of a bobsled race, teammates push their bobsled along the track before jumping into it. a. Before the teammates jump in, they push the bobsled (m = 150 kg) from rest to a speed of 4.2 m/s. How much kinetic energy does the bobsled gain? (3 points) b. How much work did the bobsled team do? Explain how you found the answer. (3 points) c. If the teammates pushed the bobsled with a force of 500 N, over what distance did they apply the force? (3 points) d. Later, the bobsled is racing down the track at a speed of 28 m/s. With the team in it, the bobsled has a total mass of 430 kg. How much work must be done by air resistance to slow down the bobsled to 25 m/s? (3 points) Question 4 (10 points) The coordinate plane below shows the path of a bicyclist. Each square represents 10 meters. a. What is the displacement of the cyclist? (2 points) b. What is the distance traveled by the cyclist? (2 points) c. If the whole trip takes 45 seconds, what is the average speed of the cyclist? (2 points) d. If the whole trip takes 45 seconds, what is the average velocity of the cyclist? (2 points) Average velocity equals 0.22m/s e. Between points B and C, the cyclist decreases his speed from 4 m/s to 3 m/s in a time of 3 seconds. What is the magnitude of his acceleration? (2 points) Question 5 (15 points) You stand on a bridge above a river and drop a rock into the water below from a height of 35 m. (Assume no air resistance.) a. What is the acceleration of the rock as it falls? (2 points) b. How long does it take to hit the water? (4 points) c. How much more time would it take if instead of dropping the rock straight down, you threw it horizontally with a speed of 20 m/s? (4 points) d. You throw another rock at an angle of 65° above the horizontal with a speed of 20 m/s. What are the x- and y-components of the rock's speed? (3 points) e. How long does it take the rock to reach its maximum height? (2 points) Question 6 (14 points) Jane works at a grocery store. She has a large crate of bananas with a mass of 13 kg to move to the produce aisle. a. What is the weight of the crate? (2 points) b. What is the normal force acting on the crate when it sits on the floor? Explain how you found the answer. (2 points) When the create is resting on the floor normal force is equal to weight c. If she pushes on the box with a force of 40 N and there is no friction, what is the acceleration of the box? (2 points) d. If the coefficient of static friction between the crate and the floor is 0.2, what is the maximum force of static friction acting on the crate? (2 points) e. If she pushes on the crate with a force of 12 N, what is the force of static friction acting on the crate? Explain how you found the answer. (2 points) Since the applied force is not enough to move the crate, so the fiction force will be the same as the force applied. f. If she pushes on the crate with a force of 40 N, and the coefficient of kinetic friction is 0.15, what is the net force on the crate in the x-direction? (2 points) g. Based on your answer in part (f), what is the acceleration of the crate? (2 points) Question 7 (6 points) Josh has a toy car of mass 3 kg tied to a string of length 2 m. He ties the string to a pole and has the toy car drive in a circle around the pole at a speed of 3 m/s. a. What is the centripetal acceleration of the car? (3 points) b. If the tension in the string exceeds 50 N, the string will break. How fast can he make the car go without breaking the string? (3 points) Question 8 (10 points) Alan hits a hockey puck of mass 0.3 kg across a hockey rink with a velocity of 18 m/s to the east. a. What is the momentum of the hockey puck? (2 points) b. If the puck was initially at rest and the time of impact was 0.25 seconds, what force did Alan apply to the puck when he hit it? (2 points) c. The puck slides across the rink, losing 5 m/s of speed due to friction. What impulse is applied by friction? (2 points) d. When Alan's puck is moving at 13 m/s east, it collides with a sticky foam block of mass 1.2 kg sitting on the rink. The puck sticks in the foam block and they move together. What was the momentum of the puck-block system before the collision? (2 points) e. What is the speed of the puck-block system after the collision? (2 points) Question 9 (10 points) A water balloon launcher uses an elastic band with a spring constant of 115 N/m. To use the launcher, you stretch the band back with a balloon in it. The water balloons have a mass of 1.3 kg. a. If you stretch the band by 0.8 m, what elastic force will the band exert? (2 points) b. With the band stretched 0.8 m, how much elastic potential energy is stored in the spring? (3 points) c. If you release the band, it pushes the balloon forward. What is the kinetic energy of the balloon when it reaches the natural length of the band? Explain how you found the answer. (2 points) d. What is the speed of the balloon when it reaches the natural length of the band? (3 points) [Show More]

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