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Force & Motion. Calculations Practice. W. m. d. F. Manipulating the Formulas. m. D. F. s. V. a. d. t. . . . . . . . . x. x. x. x. 14.7. 14.7. m. #1. D. D. D. 2.2. V. V.
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Force & Motion Calculations Practice
W m d F Manipulating the Formulas m D F s V a d t x x x x
14.7 14.7 m #1 D D D 2.2 V V • A balance and a graduated cylinder are used to determine the density of a mineral sample. The sample has a mass of 14.7 g and a volume of 2.2 cm3. What is the density of the mineral sample? x x x D = 6.68 g/cm3
d #2 350 350 2.5 s s t t t • A cross country runner is able to maintain a pace of 2.5 m/s for a total distance of 350 m. How long does it take the runner to complete her run? t = 140 s (2.3 min)
d d d #3 11.2 11.2 s 180 t t • How far does a horse run if it maintains a speed of 11.2 m/s for 180 s? d = 2016 m
1 N 1 1 F #4 m m m a 4 a • If the volleyball player strikes the volleyball with a force of 1 N and the acceleration of the ball after being hit is 4 m/s2, what is the mass of the volleyball? x x x m = 0.25 kg
1000 1000 F #4 50 m m a a a • A 50 kg rocket generates 1000 N of thrust. What will be its acceleration if it is launched straight up? x x x a = 20 m/s2
142 142 W #6 4 F F d d d • How far will this box be moved if the mover applies 4 N of force to receive 142 J of work? x x x d = 35.5 m
More Practice a = 2 m/s2 • What is the acceleration of a 70 kg mass being pulled by a 140 N force? • The world’s fastest passenger elevator operates at an average speed of about 10 m/s. If the 60th floor is 219 m above the first floor, how long does it take the elevator to go from the first floor to the 60th floor? • What force do you have to apply to a car with a mass of 1454 kg to do only 110 J of work moving the car 20 m? t = 21.9 s F = 5.5 N
More Practice 10. You found a strange rock and find that it has a mass of 50.6 g. When placed in a graduated cylinder, the volume rises from 25 mL to 36.5 mL. What is the density of your rock? (HINT: First, find the volume of the rock) V = 36.5 – 25 = 11.5 mL D = 4.4 g/mL
V = 150 km/s NE • An airplane traveled 300 km northeast in 2 hours. Find the velocity of the plane. • A hockey puck slides on the ice for 3 seconds before crossing the goal line 6 meters away. What was the average speed of the puck? • You decide to throw a pen with a mass of 20 grams with a force of 40 N. What is the acceleration of the pen? s = 2 m/s2 a = 2 m/s2
14. An object pushed with a force of 10 N travels 30 m in 60 s. What is the objects speed? A 2 m/s B 0.5 m/s C 6 m/s D 3 m/s E Not there
15. A paper airplane is traveling towards a student. The airplane travels 6 m in 2 s before hitting the student. What is the velocity of the plane? A 3 m/s B 0.3 m/s C 3 m/s toward the student D 0.3 m/s toward the student E Not there
16. If you wanted to make an object with a mass of 30 g accelerate at 5 m/s2, how much force would be required? A 150 N B 6 N C 15 N D 180 N E Not there