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Work and Energy.doc Physics, Mr. Kent Daily Worksheet: Work Name: ________________________________ 1. Awhile ago we saw Impulse: ____________ exerted over ____________ (_________) 2. Today we have a very similar, new quantity: _________________ Work:is the ____________ overperformed ____________. Formula: ____________________ 3. What magnitude ofexerted the work in the above diagram? ______________ 3. A gnome exerts a force of 125 N to move a block 75 m. How much work did the gnome perform on the block? _______________________ 4. The SI-Unit for work could be called the ____________________ (_______) but work is another of those quantities with a special name: the ______________ (______) 5. Joyce exerted 30 N to push a book along a desktop for 1.4 m. How much work did she do? _________________ 6. Joyce did 100 J of work pushing a book 2 meters across a desktop. How force did she exert? _________________ 7. By exerting a force of 50 N Joyce did 450 J of work on a book. How far did she move the book? ________________ 8. ____________ and ___________ are obviously very different. However, they have very similar __________________. Weight: _______ Work: _______ 9. A 900 kg block is pushed for 60 m with a force of 125 N. w = ______________ W = ________________ 10.With upward work, the force is the _______________ of the object _______________. 1 Work and Energy.doc 11.Ralph lifts a 10 kg block from the floor to a shelf 0.25m m above the floor. What Force did he exert? ____________ How much work did he perform? ____________ 12.Use the following diagram to complete the table below the diagram: Force Distance Work A to B B to C C to D Total Work 13.In lifting a box from the floor to a shelf 1.8 m above the floor Frank performs 317.5 J of work. Weight of the box? _______________. Mass of the box? ______________. What object performed the work? ___________________ 14.When we work with Work, we have to be a little careful with our wording. In this picture: Work is performed by: ____________________ Work is performed on: ____________________ 2 Work and Energy.doc 15.Bud exerts 125 N to push a 90 kg block 75 m East. Then he turns around and exerts a force of 60N to push the same block 50 m West. a. Work performed to the East = b. Work performed to the West = c. Work performed by Bud = d. Net work performed on the block = ____________ ____________ ____________ ____________ 16.Lisa exerts 175 N of force to pull a cart 45 m South. Then she turns around and pushes the same car 70 m North with a force of 120 N. a. Work performed by Lisa South = ____________ b. Work performed by Lisa North = ____________ c. Total Work performed by Lisa = ____________ d. Net Work performed on the cart = ____________ 17.Jasmine pushes East on a block with a force of 75 N. Nick pushes West on the same block with a force of 40 N. The block moves East 15 meters. Force Distance Work By Jasmine, East By Nick, West Wnet on Block 18.Karl pushes East on a block with a force of 125 N. While the block moves, the force of friction between the block and the floor is 35 N. Karl pushes the block 55 meters. a. What object performs work to the East? _________________ WEast = ___________ b. What object performs work to the West? _________________WWest = ___________ c. Wnet performed on the block? ________________________ 3 Work and Energy.doc Physics, Mr. Kent Quiz: Work Name: ________________________________ *** You can use anything in your notebook EXCEPT today’s Daily Worksheet *** 1. What is the formula for Work? _______________ The SI-Unit for Work? __________ 2. Define Work in words: ___________________________________________________ 3. Lyman exerted 60 N to pull a cart 40 m down the street. How much work did he do? _________________ 4. Jasmine did 5,000 j of work pushing a branch 6.5 meters across her deck. How force did she exert? _________________ 5. By exerting a force of 50,000 N a crane did 2.7 million j of work to lift truck. How far was the truck lifted? _________________ 6. During a workout, Lindsay lifts a 50 kg barbell 0.45 m upward. a. What force did she exert? ______________________ b. How much work did she perform? ____________________ 7. An elevator transported Mark (75 kg), Linda (60 kg) and Phil (70 kg) from the first floor of a building to the 12th floor. Each story of the building (distance from one floor to the next) is 12 feet. How much work did the elevator perform? _________________ 9. Mitch drags a 350 kg block East across a frictionless floor for 50 m by exerting a force of 110 N. He then turns around and, without changing force, he pushes the block West 15 m. Weast: _____________ Wwest: _____________ Fnet: _____________ 10.Lillian pulls a 250 kg object 75 meters across a floor with k of 0.62 by exerting a force of 2,000 N. Normal Force? _____________ fk?______________ Work performed by Lillian? ____________ Work performed by friction? ___________ Net Work? _________________ 4 Work and Energy.doc Physics, Mr. Kent Daily Worksheet: Mechanical Energy Name: ________________________________ 1. Definition of Work: ____________________________________________________ 2. Formula for work: ________________________ SI-Unit: ___________ (_____) 3. Be careful! w is the symbol for _____________ and W is the symbol for ___________ 4. How much work does the gnome below perform on the block? _______________ 5. When work is upward (lifting), the force is: ___________________________________ 6. Roger lifts an 8 kg block 0.35 m from the floor. Work performed by _____________. Work performed on ________________. Won_the_block = _______________. 7. A gnome pushes a block with a force of 80 N to move it 90 meters East. He then turns around and pushes the same block West 70 meters with a force of 65 N. WEast = _____________ WWest = _____________ WNet on the block = ____________ 8. Is work performed by the weightlifter on the left? _______ How about the weightlifter on the right? __________. Explain using the formula W = Fd. 5 Work and Energy.doc 9. There are several different types of Energy: _____________________ _____________________ _____________________ _____________________ _____________________ _____________________ _____________________ We will focus this week on ______________________ 10.We’ll consider 2 types of Mechanical Energy: _____________________ (_______) and ___________________________________ (_______). ______ + _______ = _______ 11.The SI-Unit for Energy is the __________, the same as for _____________. 12.So, just as with Momentum and Impulse we can add ___________ and _____________ Final Energy = ____________ Final Energy = ____________ 13.Energy can be converted to __________, that is it can exert a __________ over a __________________. 14.Definition of Energy: ___________________________________________ that is ______________________________________________________________________ 15.____________ energy is the energy of ______________. Formula: ______________ 16.A 0.9 kg toy race car is travelling at 6 m/s. Kinetic Energy: ________________ 17.A race car travelling at 8 m/s has 24 J of kinetic energy. Mass: ____________ 18.A 2.4 kg rock is dropped from a tall tower. What is its Kinetic Energy 3.5 seconds after it is dropped? _________________ 6 Work and Energy.doc 19.______________ energy is _____________ energy. That is, it is energy that can be _________________ to perform work. Some examples: __________________________________ __________________________________ __________________________________ __________________________________ 20.How is energy stored as potential energy during a fishing cast? ___________________ ______________________________________________________________________ 21.When you cast a fishing rod, you must cast enough _____________ to cause the rod to flex ___________________ at the back of the cast. This is called _________________ the rod & is when ______________________ is stored in the rod. During the forward stroke ___________________ in the rod is converted to ____________________ of the bait or lure. 22.Why is thick, massive line used in fly fishing? ________________________________ ______________________________________________________________________ 23.An object with Gravitational Potential Energy has the ability to do work because it can: ____________, __________________, ________________ & _______________________ GPE is called the energy of ____________________. 24. The ball on the table has _______________ energy. When the ball falls from the table this energy is converted to ____________ energy which enables the ball to do __________ on the ____________ which is a simple machine called a ___________ that does work on ___________________. 25.Formula for GPE: ____________________ 26.A 65 kg person stands on the top of a 10 m tall building. GPE: ___________________ 27.A 110 kg object as 4,312 J of Gravitational Potential Energy. Height: ______________ 28.Formula for Mechanical Energy: _____________________________ 29.One last thing about GPE: GPE is ______________ to a bottom level that ________ pick. Since height will vary by the bottom level, GPE will vary too. 7 Work and Energy.doc Physics, Mr. Kent Class Work: Mechanical Energy Name: ________________________________ 1. Provide the type of energy for each situation: a. An atom bomb “splits’ an atom: _____________________ b. A person eats a meal and gains energy for activity: _____________________ c. A person turns on a light bulb: _____________________ d. A bow is drawn back before shooting an arrow: _____________________ 2. The definition of energy: _________________________________________________ 3. The SI-Unit of energy: _______________ The same as ______________ 4. There are two types of mechanical energy: a. _____________ energy (____) b. ________________________ energy (______) 5. Formula for Mechanical Energy: ME = _________ + _________ 6. Kinetic Energy is the energy of ___________________. Formula: ________________ 7. A 1.5 kg ball is rolling at a constant 4.5 m/s. KE? ____________________ 8. A 75 kg object has 5,400 J of Kinetic Energy. Velocity? _________________ 9. John (90 kg) stands at rest talking to his brother. KE? _______________ 10.What is the name for energy that is stored? _________________ energy 11.Provide brief descriptions for 4 situations in which energy is stored as potential energy: a. ______________________________________________________________ b. ______________________________________________________________ c. ______________________________________________________________ d. ______________________________________________________________ 12.How is potential energy stored in a fishing rod? _______________________________ 13.What is the formula for Gravitational Potential Energy? _________________________ 14.A 25 kg object sits on a shelf 2.5 m above a classroom floor. GPE? _______________ 8 Work and Energy.doc 15.A 45 kg object has 8,820 kg of GPE. Height? _____________________ 16.An object on a ledge 175 m above a valley floor has 85,750 J of GPE. Mass? _______ 17.A 2.5 kg ball sits on the top of a school. Beneath the ball, there are 2 physics classes being taught: a. One on the 2nd floor of the school 3.5 m below the ball b. One on the 1st floor of the school 6.6 m below the ball What GPE will the students in the 2nd floor class calculate for the ball? ____________ What GPE will the students in the 1st floor class calculate for the ball? ____________ 18.A 1.25 kg squirrel walks across a clothes line 2 m above a lawn at a velocity of 1.5 m/s. KE = ___________ GPE = ___________ Mechanical Energy (ME) = ___________ 19.A 5 kg rock falls toward the ground. 5 m above the ground, it is travelling at 12 m/s. KE = ___________ GPE = ___________ Mechanical Energy (ME) = ___________ 20.Linda plays around with a 4 kg ball in her kitchen a. She lifts the ball from the floor to the top of a 1.4 m tall table. b. The ball sits motionless on the table. c. Linda pushes the ball causing it to roll at 1.5 m/s halfway across the table. d. Just as the horizontal velocity of the ball falls to 0 m/s, the ball falls off of the table. e. Half way to the ground the ball is travelling at 3.7 m/s. f. Just before reaching the ground the ball is travelling at 5.2 m/s. How much work was done by Linda between in step a? _______________. Complete the following table to calculate total mechanical energy at b - f Position Kinetic Energy (KE) Gravitational Potential Total Mechanical Energy (GPE) Energy b c d e f 9 Work and Energy.doc Physics, Mr. Kent Quiz: Mechanical Energy Name: ________________________________ 1. Name 3 types of energy other than Mechanical, Kinetic and Gravitational Potential energy: ______________________ ______________________ _______________________ 2. Kinetic Energy is the energy of ____________________ 3. A 15 kg dog is trotting at 6.5 m/s. Kinetic Energy? ______________ 4. A 4 kg cat has 18 J of Kinetic Energy. Velocity? ____________ 5. Gravitational Potential Energy is the energy of ____________________ 6. Name three situations in which Potential Energy is stored. Example: Stretching a spring (Sorry – you can’t use that one). a. ______________________________________________________________ b. ______________________________________________________________ c. ______________________________________________________________ 7. A 7.5 kg ball sits on a shelf 2.4 m above the floor. GPE? ______________ 8. A ball that has GPE of 411.6 J rests 12 meters above the ground. Mass? ____________ 9. In this building each story of the building is 4 meters in height (from the floor of one story to the floor of the next story). Mr. Kent stores a 3.5 kg box on a shelf 2.25 m above the floor of his room on the second floor. The students in his classroom and the classroom beneath him calculate the GPE of the box from their perspective. a. GPE from the perspective of Mr. Kent’s students: ___________ b. GPE from the perspective of the students in the room below Mr. Kent: ___________ 10.A 65 kg person walks at a speed of 4.5 m/s on the roof of a 20 m tall building. KE = ___________ GPE = ___________ Mechanical Energy (ME) = ___________ 11.Bill exerts a force of 200 N to push a 50 kg desk 12 m East across a tile floor (k = 0.35) He then turns around and pushes the desk West 5 m using the same force. Work done on the desk: Wfriction west = ________ WEast Bill = ________ WWest Bill = ________ Wfriction east = ________ WNet = ________ Work done by Bill: ________________ 10 (tot work on desk) Work and Energy.doc Physics, Mr. Kent Daily Worksheet: Mechanical Energy #2 Name: ________________________________ We’ve seen four things in our study of Energy: 1. ___________________ In words: ______________________________________ Formula: __________________ SI-Unit: ______________________ 2. ______________ Energy (______). In words: ________________________________ Formula: __________________ SI-Unit: ______________________ 3. __________________________ Energy (______) In words; _____________________ _____________ Formula: _________________ SI-Unit: ______________________ 4. _________________ Energy (______) Formula: ____________________ SI-Unit: ______________________ Questions 5 - 10: Draw a picture here. Add pieces as you go. 5. P1: A 1.5 kg ball sits stationary on the floor (zero level). KE ________ + GPE = ________ = ME ________ 6. P2: The 1.5 kg ball is lifted to the top of a 1.2 m high table where it is stationary. KE ________ + GPE = ________ = ME ________ 7. P3: The ball is pushed, causing it to roll with v = 1.6 m/s. KE ________ + GPE = ________ = ME ________ 8. P4: Friction slows the ball which comes to rest at the far edge of the table. KE ________ + GPE = ________ = ME ________ 9. P5: The fall rolls off the table edge. Half way down, it’s travelling at 3.43 m/s. 11 Work and Energy.doc KE ________ + GPE = ________ = ME ________ 10.P6: The ball comes to rest on the floor (zero level) KE ________ + GPE = ________ = ME ________ 11.Between P1 (stationary on floor) and P2 (stationary on table) the ball acquired 17.6 J of _____________ and thus 17.6 J of ______________. The ball acquired this energy because ________________________________. The work to ________ the ball: F = __________ x _______ = __________ W = ________ x ________ = __________ The work done on the ball gave the ball its ______________. 12.Explain how the ball acquired its Kinetic Energy in P3. 13.Whenever the energy of an object changes ___________ has been done on it. In fact, the __________ way for an object’s energy to change is via the _________ done on it. Questions 14 and 15 pertain to the following picture: 3.834 m/s 14.Complete this table to show what types of energy exist at positions P1 to P4. Position KE? (y/n) GPE? (y/n) P1 P2 P3 12 ME? (y/n) Work and Energy.doc P4 15.Complete this table to provide the magnitudes of the energies at positions P1 - P4. Position KE (Joules) GPE (Joules) ME (Joules) P1 P2 P3 P4 16.Just like momentum, Mechanical Energy is ________________. If the only force exerted on an object is _______________ then no ME is _________________ and no ME is ___________________ (ME stays _________________) 17.A stationary 1.5 kg ball sits at the edge of a 1.2 m high table (P1). The ball falls off. Consider P2 to be just before the ball reaches the ground. P1: GPE __________ + KE __________ = ME __________ P2: Vf = __________ GPE __________ + KE __________ = ME __________ Was Mechanical Energy conserved? ______ 18.Use the principle of Conservation of Energy to find v at the bottom of the coaster. 13 Work and Energy.doc 250 kg 19.Draw the picture from the previous problem with one change: vtop = 3.5 m/s. Find v at the bottom 18.Draw the picture from the previous problem with these changes: (a) DO NOT draw the car at the bottom (height = 0). (b) Rather, draw a cart at the top of the smaller, 15 m hill. Find v at the top of the small hill. 14 Work and Energy.doc Physics, Mr. Kent Class Work: Mechanical Energy #2 Name: ________________________________ 1. A 250 kg roller coaster car at a 25 m high peak in its track is travelling at 3.5 m/s. Ignoring friction, what it the car’s velocity after it has travelled down the slope to a point at elevation = 0 m? Draw the track and solve for velocity. v = _______________ 2. A 400 kg roller coaster car at a 30 m high peak in its track (the top) is travelling at 6 m/s. As it travels along the track, the force of kinetic friction is 600 N. The car rolls down a 45 m length of track to reach an elevation of 0 meters (the bottom). Mechanical Energy of the car at the top: ____________________________________ Work done by friction on the car: _______ x ________ = ______________ Total mechanical energy of the car at the bottom: _______________ vbottom = __________ 3. A 400 kg travels through a low point in the track (elevation = 0) at 25 m/s. It then climbs a 60 m hill to reach a high point with elevation = 20 m. During that climb, the force of friction is 500 N. Mechanical Energy of the car at the bottom: ________________________________ Work done by friction on the car: _______ x ________ = ______________ Total mechanical energy of the car at the top: ________________ vtop = _______ 4. A 500 kg roller coaster car travels at 1.5 m/s at the top of a 20 m peak in its track. It descends an 80 m section of track to an elevation of 0 m and then travels along a 100 m horizontal section. The force of friction is 450 N. After the flat section (Position 2), the car strikes a shock absorber that brings it to a halt in 1.2 seconds. At that point a chain driven system lifts the car does 170,000 J of work to lift the car to the highest peak on the track where it travels at 0.5 m/s before plunging down scaring the daylights out of the passengers. KEi = ___________ GPEi = ___________ MEi = ___________ Wfriction = __________ Position 2: ME = __________________ v = _________________ p = __________________ Re: the shock absorber: J = _____________________ F = ____________ Highest Peak: KE = ________________ GPE = _________________ h = _____________ 5. Mr. Kent’s Physics class builds a “Rube Goldberg” track which uses a 0.75 kg ball. The track sits on a table. At the start, the ball is placed in a carrying bucket that rests on the table. When a student turns a crank, the ball is lifted to a height of 0.8 m to Point 1 where it sits idle for a moment. The ball then rolls through a ridiculously windy 2.5 m track with a coefficient of kinetic friction of 0.03 with the rolling ball. At the end of this track (Position 2), the ball is 0.65 m above the table and it falls toward the ground, triggering a bunch of crazy events, that end up punishing Mr. Bill. Work performed by the bucket: ______________ Point 1 ME: ________________ fk = ____________ Wfriction = ____________ Point 2: ME = ____________ KE = ___________ v = _____________ 15 Work and Energy.doc Physics, Mr. Kent Quiz: Mechanical Energy #2 Name: ________________________________ Questions 1 - 5: Draw a picture from the following description. Then calculate Kinetic, Gravitational Potential and Mechanical Energy at the positions described (P1 – P5). P1: P2: P3: P4: P5: A 3.5 kg ball sits stationary on the right edge of a 2.4 m book shelf. The ball falls off the bookshelf to position 1.5 meters below P1 Mr. Kent catches the ball an places is on the floor where it is stationary Mr. Kent kicks the ball causing it to accelerate go 3 m/s. The ball climbs a 0.5 m high ramp. At the top (P5) it is travelling at 1.2 m/s. 1. At P1: KE: ____________ GPE: ____________ ME: ____________ 2. At P2: KE: ____________ GPE: ____________ ME: ____________ 3. At P3: KE: ____________ GPE: ____________ ME: ____________ 4. At P4: KE: ____________ GPE: ____________ ME: ____________ 5. At P5: KE: ____________ GPE: ____________ ME: ____________ Questions 6 - 8: Draw a picture of a roller coaster for each question. Then answer the questions. 6. A 175 kg roller coaster car sits stationary at the top of a 35 meter peak of a roller coaster track. The car rolls down the sloping the track until it reaches the bottom of the track (height = 0). What is the velocity of the car at this point? _______________ 16 Work and Energy.doc 7. A 175 kg roller coaster is travelling at 4.5 m/s at the top of a 35 meter peak of a roller coaster track. The car rolls down the sloping track, past a bottom point, and up to the top of a 25 meter peak. What is the velocity of the car at this point? _______________ 8. A 175 roller coaster car is travelling unknown velocity at the top of a 35 meter peak of a roller coaster track. The car rolls down the sloping track, past a bottom point, and up to the top of a 25 meter peak where it is travelling at 5 m/s. What was the car’s speed at the top of the 1st peak (35 meter)? __________________ 17 Work and Energy.doc Physics, Mr. Kent Work/Energy Review Notes 1. Work a. Force exerted over distance b. W = Fd c. Unit of measure: Joule (j) 2. Horizontal Work a. Force is a push or pull 3. Vertical Work a. Force is the weight of the object b. Upward: Force exerted to overcome force of gravity c. Downward: Force of gravity 4. Net Work a. Unless work is done in opposite directions it is positive (left side below). b. If work is done in opposite directions one is positive and one is negative i. Work done on an object: Add positive & negative work (Net Work) ii. Work done by the pushers/pullers: Positive 5. A classic example of negative work is work done by friction a. While an object is moving Kinetic Friction pushes back (against movement) b. fk = kFN c. When a person pushes an object and overcomes friction: i. The person does positive work ii. The friction does negative work iii. Net Work = the sum of the positive and negative works 18 Work and Energy.doc 6. If there is no distance, there is no work! a. Example: A weightlifter holding a huge weight over his head BUT NOT MOVING IT has done no work. 7. There are 7 types of energy. We will concern ourselves solely with Mechanical which has two sub-types of energy: a. Thermal b. Chemical c. Electric d. Radiant e. Nuclear f. Magnetic g. Mechanical i. Kinetic ii. Potential 8. Energy is the potential to do work 9. Kinetic Energy (KE): a. The energy of motion b. KE = ½mv2 10.Potential Energy is stored energy 11.Gravitational Potential Energy (GPE): a. The energy of position b. “Up in the air” c. Can fall and do work d. GPE = mgh e. GPE is measured from an arbitrary “zero level” i. Usually obvious in a problem ii. Still, you can choose zero level 12.Mechanical Energy (ME) is the sum of KE and GPE a. An object can have both (moving above zero level) b. ME = KE + GPE 13.Whenever the energy of an object changes it has had work done on it a. Example: i. Stationary ball on floor: KE = 0, GPE = 0, ME = 0 ii. Ball is lifted to a tabletop. 17.6 of work done on it iii. Stationary ball on table: KE = 0, GPE = 17.6, ME = 17.6 14.Just as we saw with momentum, the Mechanical Energy of an object is conserved a. IF the only force acting on that object is gravity b. No ME is created and none is destroyed c. As an object changes position and velocity, however, energy DOES move back and forth between KE and GPE (but ME is constant – conserved) 19 Work and Energy.doc 15.Conservation of Energy problems a. b. c. d. e. f. g. KEi = ½mvi2 = GPEi = mghi = 250(9.8)(25) = MEi = 0 + 61,250 = ` 2 KEf = ½mvf = GPEf = mghf = MEf = ½(250)vf2 + 0 = ` MEi = MEf 0 J because no motion (vi = 0) 61,250 J 61,250 J ½(250)vf2 0 J because at zero level (hf = 0) ½(250)vf2 61,250 = ½(250)vf2 vf = 22.14 m/s 20 Work and Energy.doc Physics, Mr. Kent Work/Energy Review Quiz/Test Name: ______________________________________ 1. Jill exerted 60 N to pull a cart 70 m down the street. How much work did she do? _________________ 2. Mary did 12,000 J of work pushing a branch 5 meters across her deck. How force did she exert? _________________ 3. By exerting a force of 70,000 N a crane did 3.2 million J of work to lift truck. How far was the truck lifted? _________________ 4. During a workout, Winifred lifts a 30 kg barbell 0.6 m upward. a. What force did she exert? ______________________ b. How much work did the perform? ____________________ 5. A 35 kg rock falls 54 m from the top of a cliff. a. What object performed work on the rock? ________________ b. How much work? _______________ 6. Bob and Roger push on opposite sides of a block resting on a frictionless surface. Bob exerts a force of 250 N to the South and Roger exerts a force of 160 N to the North. The box moves 15 m South. Work done on the box: By Bob: _____________ by Roger: _____________ Net Work: _____________ Work done by Bob: _____________ Work done by Roger: _____________ 7. Linda pushes west on a 50 kg block resting on a cement floor. After she gets the block moving, she pushes with a force of 250 N. The coefficient of kinetic friction (k) between the block and the floor is 0.35. The box moves 15 m to the West. Friction force (fk): ______________ Work done on the box: By Linda: _____________ by friction: _____________ Net Work: _____________ Work done by Linda: _____________ Work done by friction _____________ 21 Work and Energy.doc 8. Rebecca pushes East on a 75 kg block with a force of 195 N. Her son Mark pushes West with a force of 25 N. The coefficient of kinetic friction (k) is 0.2. The block moves 25 m East. Net work done on the box: ________________ (show work!) Questions 9 – 12: Name the type of energy. 9. Released during the bomb that destroyed Hiroshima in WWII: ______________ 10.Stored in food: ______________ 11.Firewood is burned in a fireplace ______________ 12.A switch is thrown, turning on a light in a dark room ______________ 13.Name 3 situations in which potential energy is stored (use a phrase or a short sentence DON’T JUST SAY “Baseball pitcher”). a. ___________________________________________________________________ b. ___________________________________________________________________ c. ___________________________________________________________________ 14.A 0.6 kg toy truck rolls across the floor at 0.4 m /s KE: _____________ GPE: _____________ ME: _____________ 15.A 1.2 ball sits stationary on a 1.3 m high table: KE: _____________ GPE: _____________ ME: _____________ 16.A 3.5 kg dog walks on top of a 2 m high wall at 1.4 m/s. KE: _____________ GPE: _____________ ME: _____________ 17.A 5.5 kg rock falls off a 50 m high cliff. At and elevation of 20 m: Vf: _____________KE: _____________ GPE: _____________ ME: _____________ Momentum (p): ______________ 22 Work and Energy.doc Problems 18 – 20: Draw a picture from the problem. Label that picture with the information from the problem. Solve. ** Show your work *** 18.A 700 kg roller coaster car is stationary at the top of a 45 m high peak in its track. It rolls down to the bottom of the track. What is the velocity of the car at the bottom? Velocity at bottom: ___________________ 19.A 900 kg roller coaster car is travelling at 2.4 m/s at the top of a peak in its track of unknown height. It rolls down to the bottom of the track and then climbs a 30 m peak where it is travelling at 3.6 m/s. What is the height of the first peak? _____________ 20.An 800 kg roller coaster car is travelling at 20 m/s at the top of a 60 m peak on its track. It rolls down to the bottom of the track and then climbs a second, 100 m high peak. To what elevation can the car climb on this second peak? ___________________ 23