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Transcript
Practice Math Problems for chapter 6 (You need to be able to do these WITHOUT looking at the formula triangles and NO calculators) 1. If an object travels 10 m in 0.5 seconds. What was the object’s speed? Speed = distance ÷ time Speed = 10 m ÷ 0.5 s Speed = 20 m/s 2. If an object travels at 82 m/s how far will it travel in 5.3 seconds? Distance = speed × time Distance = 82 m/s × 5.3 s Distance = 434.6 m 3. How long will it take an object to travel 65 m if it is traveling at 4 m/s? Time = distance ÷ speed Time = 65 m ÷ 4 m/s Time = 16.25 s 4. If car speeds up from 1.5 m/s to 6.4 m/s in 3 seconds, find the acceleration. Acceleration = (Velocityf - Velocityi) ÷ time Acceleration = (6.4 m/s – 1.5 m/s) ÷ 3 s Acceleration = (4.9 m/s) ÷ 3 s = 1.63 m/s2 5. An object is dropped. Ignoring air resistance how fast is it moving at the end of 4 seconds? ∆Velocity = gravity x time ∆ velocity = velocityfinal – velocityinitial Vf – Vi = gravity x time Vf – 0 m/s = 9.8 m/s2 × 4 s Vf = 39.2 m/s 6. If an object was dropped and is now moving at 29.4 m/s. How long was it falling for? time = ∆Velocity ÷ gravity ∆ velocity = velocityfinal – velocityinitial Time = (Vf – Vi) ÷ gravity Time = (29.4 m/s – 0 m/s) ÷ 9.8 m/s Time = 3 s 7. Find the force necessary to cause a 2.3 kg object to accelerate at 7.2 m/s2. Force = mass x acceleration Force = 2.3 kg x 7.2 m/s2 Force = 16.56 N 8. If a 15 N force acts on a 4 kg object, what will the objects acceleration be? Acceleration = Force ÷ mass A = 15 N ÷ 4 kg A = 3.75 m/s2 9. If a 27 N force causes an object to accelerate at 40.5 m/s2, what was the object’s mass? Mass = force ÷ acceleration Mass = 27 N ÷ 40.5 m/s2 Mass = 0.67 kg 10. An object has 7 kg of mass and is moving 4 m/s. Find momentum. Momentum = mass x velocity P=mxv P = 7 kg x 4 m/s P = 28 kg m/s 11. An object has 51 kg m/s of momentum. If the mass is 17 kg find the velocity of the object. Velocity = momentum ÷ mass V=p÷m V = 51 kg m/s ÷ 17 V = 3 m/s 12. An object has 92 kg m/s of momentum. If the velocity of the object is 4 m/s. find the mass of the object. mass = momentum ÷ velocity m=p÷v m = 92 kg m/s ÷ 4 m = 23 kg 13. Find the weight of a 50 kg object on earth. Weight = mass x gravity W=mxg W = 50 kg x 9.8 m/s2 W = 490 N