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Transcript
DO NOT WRITE ON THIS PAPER Directions: For all math problems, show all steps of the GUESS method. Answers are in italicized parenthesis. Some problems may require an explanation, give a complete thought. Newton’s 2nd Law Relationship 1) How much force is required to accelerate a 2 kg mass at 18) How much force is required to accelerate a 17.61 kg 3 m/s2? (6 N) mass at 2 m/s2? (35.22 N) 2) Given a force of 100 N and an acceleration of 10 m/s2, what is the mass? (10 kg) 3) What is the acceleration of a 10 kg mass pushed by a 5 N force? (0.5 m/s2) 19) What is the mass of a block accelerating at 2 m/s2 and pushed by a 9 N force? (4.5 kg) 20) A 10 N force is applied to a 2 kg mass at rest. How fast will it be going in 10 seconds? (50 m/s) 4) Given a force of 88 N and an acceleration of 4 m/s2, what is the mass? (2 kg) 21) A 64 N force is applied to a 9 kg mass at rest. How fast will it be going in 5 seconds? (35.56 m/s) 5) How much force is required to accelerate a 5 kg mass at 22) What force is necessary to accelerate a 5 kg mass from 20 m/s2? (100 N) rest to 10 m/s in 5 seconds? (10 N) 6) What is the acceleration of a 5 kg mass pushed by a 10 2 23) How much force is required to accelerate a 22 kg mass at 6 m/s2? (132 N) N force? (2 m/s ) 7) Given a force of 56 N and an acceleration of 7 m/s2, what is the mass? (8 kg) 8) How much force is required to accelerate an 8 kg mass 24) What is the acceleration of a 170 kg mass being pulled by a 14 N force? (0.08 m/s2) 25) A 46 kg rocket generates 983 N of thrust. What will be its acceleration launched straight up? (21.37 m/s2) 2 at 5 m/s ? (40 N) 9) What is the acceleration of a 25 kg mass pushed by a 6 N force? (0.24 m/s2) 26) What net force is necessary to accelerate a 300 kg object at 3.7 m/s2? (1110 N) 10) What is the acceleration of a 10 kg mass pushed by a 2 2.5 N force? (0.25 m/s ) 11) Given a force of 87.3 N and an acceleration of 5 m/s2, what is the mass? (17.46 kg) 12) How much force is required to accelerate a 50 kg mass at 7.3 m/s2? (365 N) 13) What is the acceleration of a 17 kg mass pushed by a 9 N force? (0.53 m/s2) 14) How much force is required to accelerate a 52.4 kg 2 mass at 4.3 m/s ? (225.32 N) 15) What is the acceleration of a 9 kg mass being pulled by a 56 N force? (6.22 m/s2) 16) Given a force of 47.7 N and an acceleration of 7 m/s2, what is the mass? (6.81 kg) 27) A 13 kg block of ice is resting on a frozen pond. How much force will it take to accelerate the ice at 0.23 m/s2? (2.99 N) 28) A 121.4 N force is applied to a 500 kg crate resting on frictionless wheels. Calculate “a”. (0.24 m/s2) 29) An 82.6 kg basketball player jumps and accelerates up at 16.4 m/s2. What force do his shoes exert on the ground during this acceleration? (1354.64 N) 30) A large 50 kg crate is at rest on level ground. Two people push on the crate. One pushes north with 200 N while the other pushes South with 50 N. If there is no friction, draw a diagram of this object labeling all forces. Find the acceleration and direction of acceleration for the crate. (3 m/s2 North) 17) What is the acceleration of a 23 kg mass pushed by an 8 31) A 30 kg computer is held up by a member of the Geek N force? (0.35 m/s2) Squad. What force is needed by the geek to accelerate the computer upward at 1 m/s2? (30 N) DO NOT WRITE ON THIS PAPER Newton’s 2nd Law Diagrams 38) Find the acceleration of the 2 kg block in the following diagram. 42) What will be the acceleration of the 20 kg block? (2 m/s2 left) (2.5 m/s2) 39) Find the acceleration of the 1 kg block in the following 43) What will be the acceleration of the 10 kg block? diagram. (4 m/s2 down) 40) Find the acceleration of the 8 kg block in the following diagram. (2 m/s2) 44) What will be the acceleration of the block? (3.38 m/s2 left) 41) Find the acceleration of the 3 kg block in the following diagram. (1.67 m/s2) 2 (5.33 m/s left) Terminal Velocity 32) A 5 kg bowling ball is falling at terminal velocity. What is its mass? What downward force does gravity pull with? What upward force does air push with? What is its acceleration? What is the net force on the ball? (5 kg, 50 N, 50 N, 0 m/s2, 0 N) 33) A 820 N skydiving man is falling at terminal velocity. What is his mass? How much air resistance does he feel? What is his acceleration? What is the net force acting on him? (82 kg, 820 N, 0 m/s2, 0 N) 34) A raindrop falling at terminal velocity feels 4 N of air resistance. What force is pushing up? How much does that raindrop weigh? What is the mass of that drop of water? (4 N, 4 N, 0.4 kg) Newton’s 2nd Law and Linear Motion 35) A 10 kg block of ice slides across the floor. If the force of friction on the ice is 4 N, what will be the acceleration of the block? How long will it take to come to rest if it was initially sliding at 8 m/s2? (0.4 m/s2, 20 s) 36) A force of 15 Newtons is applied to a resting object with a mass of 5 kilograms. What will be the object's final velocity after 10 seconds? (30 m/s) 37) A big 100 kg box is rolling on frictionless wheels, to the West at 4 m/s. If you need to stop it in 2 seconds, what force will this require (direction too)? (200 N East)