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Fall Final Review WKS: WORD PROBLEMS Part II 1. A car travels at a constant speed of 15 m/s for 10 seconds. How far did it go? 1. A car travels at a constant speed of 15 m/s for 10 seconds. How far did it go? d v t d v t rearrange d vt d 15m / s 10s d 150m 2. How much time will it take to walk 100 meters at a constant speed of 2 m/s? 2. How much time will it take to walk 100 meters at a constant speed of 2 m/s? d v t d v t 100m t 2m / s rearrange d t v t 50s 3. You drop an object off the top of a 75 meter tall building. It falls freely and hits the ground 7 seconds later. What is the average speed of the object as it fell? 3. You drop an object off the top of a 75 meter tall building. It falls freely and hits the ground 7 seconds later. What is the average speed of the object as it fell? d v t 75m v 7s v 10.7m / s 4. You drop a rock off the top of a tall cliff. How fast is it traveling 3 seconds later? 4. You drop a rock off the top of a tall cliff. How fast is it traveling 3 seconds later? You are asked to calculate the final velocity (v) Initial velocity: V0 = 0 since you “dropped” the rock v v0 gt v 0 103s v 30m / s 5. You drop a 4.0 kg rock from a height of 20.0 meters above the ground. How long will it take to hit the ground? 5. You drop a 4.0 kg rock from a height of 20.0 meters above the ground. How long will it take to hit the ground? In a free fall problem the mass does not change the acceleration of an object when there is no air resistance t 2d g 220m t 10 t 2s t 4 6. According to the figure below, what is the acceleration of the block? 6. According to the figure below, what is the acceleration of the block? First you need to calculate the net force (20 -10 =10) F a m 10 N a 20kg a 0.5m / s 2 7. A net force of 10 Newtons is used to push a car about 25 yds. The car’s acceleration is 1.0 m/s2. What is the mass of the car? 7. A net force of 10 Newtons is used to push a car about 25 yds. The car’s acceleration is 1.0 m/s2. What is the mass of the car? F ma rearrange 10 N m 2 1.0m / s F m a m 10kg 8. You kick a 0.5 kg stationary ball with a force of 20 Newtons. What is the force on your foot? 8. You kick a 0.5 kg stationary ball with a force of 20 Newtons. What is the force on your foot? Newton’s Third Law states that the forces are equal and opposite in direction Force would be 20N 9. If you have a weight of -850 Newtons, and are standing on the ground. What is the force that the Earth is pushing back up on you? 9. If you have a weight of -850 Newtons, and are standing on the ground. What is the force that the Earth is pushing back up on you? 850 N -850 N Remember that weight (force of gravity) is pointed downward. We can represent down with a (-) sign 10. What happens to the gravitational attraction (the force) between two objects when the distance between them increases? decreases? 10. What happens to the gravitational attraction (the force) between two objects when the distance between them increases? decreases? Newton’s Law of Universal Gravitation tells us the relationship of distance and mass on the gravitational force m1m2 F G 2 d Distance is on the bottom so it is inversely proportional-distance gets greater, force gets smaller When distance decreases, force increases 11. When an object is moving in uniform circular motion, which way is it accelerating? 11. When an object is moving in uniform circular motion, which way is it accelerating? Both acceleration and centripetal force are pointed to the center of the circle 12. Each of the 3 objects below moves with a velocity of 1m/s. What is the total kinetic energy of the system? 12. Each of the 3 objects below moves with a velocity of 1m/s. What is the total kinetic energy of the system? To calculate total kinetic energy you need to add up the masses of the 3 objects. 1 2 E mv 2 1 2 E 5kg 1m / s 2 E 2.5J 13. What is the kinetic energy of an object with a mass of 5 kg traveling at a speed of 10 meters/second? Assume no other forces act upon the object. 13. What is the kinetic energy of an object with a mass of 5 kg traveling at a speed of 10 meters/second? Assume no other forces act upon the object. 1 2 E mv 2 1 2 E 5kg 10m / s 2 E 250 J 14. You lift a heavy rock with a mass of 15 kg to a height of 5.0 meters above the ground. What is the potential energy given to the rock? 14. You lift a heavy rock with a mass of 15 kg to a height of 5.0 meters above the ground. What is the potential energy given to the rock? E mgh E 15kg105.0m E 750 J 15. A 1.5 kg rock falls to the ground off the top of a 25 meter tall cliff. What is the Kinetic energy of the rock right before it hits the ground? 15. A 1.5 kg rock falls to the ground off the top of a 25 meter tall cliff. What is the Kinetic energy of the rock right before it hits the ground? We do not have velocity to use in equation for KE. Calculate the PE knowing it will all be transformed into KE E mgh E 1.5kg1025m E 375J 16. A 3.5 kg object is moving with a velocity of 2.0 m/s. What is its momentum? 16. A 3.5 kg object is moving with a velocity of 2.0 m/s. What is its momentum? p mv p 3.5kg2.0m / s p 7.0kg m / s 17. The diagram below represents an inelastic collision between two blocks on a frictionless air track. After the collision the two objects “stick” together. What is the mass of the second box? 17. The diagram below represents an inelastic collision between two blocks on a frictionless air track. After the collision the two objects “stick” together. What is the mass of the second box? Calculate the total momentum of both boxes before the collision. It will have the same total momentum after as well pblock1 20kg20m / s 400 pblock1 mv pblock 2 mv pblock2 ?0 0 ptotal 400 0 400 17. The diagram below represents an inelastic collision between two blocks on a frictionless air track. After the collision the two objects “stick” together. What is the mass of the second box? Since the total momentum before = 400 Total momentum after = 400 pafter mv 400 m15 400 mtotal 26.7kg 15 18. When the two objects of different mass collide and couple together, what will be their resultant velocity? 18. When the two objects of different mass collide and couple together, what will be their resultant velocity? Calculate the total momentum of both boxes before the collision. It will have the same total momentum after as well pblock1 205 100 pblock1 mv pblock 2 mv pblock2 50 0 ptotal 100 0 100 18. When the two objects of different mass collide and couple together, what will be their resultant velocity? Since the total momentum before = 100 Total momentum after = 100 pafter mv 100 15v 100 v 6.7m / s 15