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Chapter 3 Newton’s Laws Practice Exercise Solutions 1. Of the following, the one most closely related to inertia is: A) weight B) acceleration C) mass D) force 2. If your mass is 75kg, the magnitude of the Earth’s gravitational pull on you is: A) 132N B) 588N C) 600N D) 735N FG w mg (75kg)(9.8 m2 ) 735N s Magnitude w 735N 735N 3. The net force required to keep a 10kg object moving at a constant acceleration of 5 m2 is : s A) zero B) 2N C) 10N D) 50N kg m m Fnet = ma = (10kg)(5 2 ) 50 2 50N s s 4. If you observe an object which is not moving you can conclude that no forces are acting on it. You can only conclude that no NET FORCE is A) True acting on it, there may be any number of forces B) False acting on the object…we can only conclude that the sum of the forces is zero. 5. Constant acceleration is to net force as constant velocity is to: A) weight B) inertia C) free-fall D) work Motion at a constant acceleration is caused by a net force. Motion at a constant velocity is caused by inertia. 6. Action and reaction forces never cancel each other because: A) they are not equal B) they act on different objects C) they are not opposite to each other D) all of these reasons 7. If the net force acting on an object is doubled and the mass of the object is kept constant, the acceleration of the object will be multiplied by: The acceleration of an object is directly A) 1/2 proportional to the net force acting on it. If the net B) 2 force is multiplied by some factor and the mass is C) 1/4 held constant the acceleration will be multiplied by D) 4 the same factor. Doubling the net force will double the acceleration. The acceleration is inversely proportional to the object’s mass. Multiplying the mass by some factor and keeping the net force constant will multiply the acceleration by the reciprocal of that factor. Doubling the mass will multiply the acceleration by 1/2. 8. A 15kg object is initially moving at 100m/s to the right. The net force required to stop the object in 5s is: A) 60N B) -60N C) 300N D) -300N Accelerated Motion m 0 100 vf vi s d? a? a 5s t v? t 5s 20 m2 s m m = 15kg v i 100 s Fnet = ? F = ma = (15kg)(20 m ) vf 0 net 2 s 300N 9. A 20kg box is being pulled to the right along a level floor by a force of 90N. If the acceleration of the box is 2.5m/s2, the force of kinetic friction between the box and the floor must be: A) -20N a = 2.5 m2 B) -30N s Kinetic Fapp 90N C) -40N Friction 20kg D) -50N f Fnet Fnet If this was the ONLY force the acceleration would be: a = 90N 4.5 m2 20kg s m ma (20kg)(2.5 2 ) 50N s Fapp f f Fnet Fapp 50N 90N 40N 10. The upward force required to lift an 11kg object at a constant velocity is: Fapp A) 107.8N B) 215.6N C) 312.4N D) zero 11kg FG v constant a = 0 Fnet = 0 Fnet = Fapp + FG Fapp m (11kg)(9.8 = FG mg 2 ) s 107.8N 11. A 7.5kg object is acted upon by two horizontal forces: F1 is 35N to the left, F2 is 80N to the right. The acceleration of the object is: A) 7.7 m2 s B) 7.7 m2 s C) 6.0 m2 s D) 3.0 m2 s F1 35N 7.5kg F2 80N Fnet F1 F2 (35N) (80N 45N Fnet m 45N 6 a m 7.5kg s2 12. A person standing at the bottom of a 30m high tower throws a 2kg ball straight up with an initial velocity of 25m/s. Will the ball reach the top of the tower? A) Yes B) No Free-Fall d? m 2kg v? Fnet FG v i 25 m s v f 0@ max .alt. a g 9.8 m2 s t? 2 vf 2 vi 2ad v 2f v 2i d 2a 2 0 (25 m ) s d 2(9.8 m2 ) s d 31.9m 30m 13. A .2kg helium balloon is acted upon by a buoyant force of 4N. If released from rest the time required for the balloon to reach an altitude of 200m would be: F 4N A) 6.3s B) 14.1s C) 18.5s D) 22.6s Accelerated Motion B .2kg FG w mg (.2kg)(9.8 m2 ) s 1.96N d 200m v? vi 0 vf ? a ? 10.2 m2 s t? m .2kg Fnet ?2.04N Fnet FB FG 4N (1.96N) 2.04N Fnet 2.04N 10.2 m a m .2kg s2 0 1 2 d v i t 2 at 2 1 d 2 at t 2d a 2(200m) 6.3s 10.2 m2 s 14. Ball A is dropped from a cliff 100m high. At the same time Ball B is thrown horizontally from another cliff 100m high. The paths followed by the two balls are shown below. The ball that reaches the ground first will be: A) Ball A B) Ball B C) they will reach the ground at the same time D) the initial velocity of Ball B must be known