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11/3/2011 Newton’s 2nd Law • The connection between motion and forces ΣF=ma Forces Motion FBDs MDs Practice Problem • • • • • • Physics Principles Circle the Object Draw Coordinate Identify Forces, On & By Make Component Table Write Newton’s Law in Component Form • List other information • Solve • Evaluate Practice Problem Practice Problem • • • • • • Physics Principles Circle the Object Draw Coordinate Identify Forces, On & By Make Component Table Write Newton’s Law in Component Form • List other information • Solve • Evaluate The parachute on a race car of weight 8 500 N opens at the end of a racewhen the car is traveling at 40 m/s. What force must be supplied by the parachute to stop the car in a distance of 1 000 m? Practice Problem • • • • • • Physics Principles Circle the Object Draw Coordinate Identify Forces, On & By Make Component Table Write Newton’s Law in Component Form • List other information • Solve • Evaluate A 7.0-kg bucket of tools is raised from the ground by a rope. If the upward acceleration of the bucket is 4.0 m/s2, find the force exerted by the rope on the bucket. • • • • • • Physics Principles Circle the Object Draw Coordinate Identify Forces, On & By Make Component Table Write Newton’s Law in Component Form • List other information • Solve • Evaluate A 50.0-kg wagon is towed up a hill inclined at 20° with above the horizontal. The tow rope is parallel to the incline and has a tension of 150 N. Assume that the wagon starts from rest at the bottom of the hill, and neglect friction. How fast is the wagon going after moving 60.0 m up the hill? Answers Two boxes of fruit on a horizontal surface are connected by a string, where m1 = 10 kg and m2 = 20 kg. A force of 50 N is applied to the 20-kg box. Determine the acceleration of each box & the tension in the string. The coefficient of kinetic friction is 0.10. • 1. T=96.6 N up • 2. T=694 N in direction opposite the velocity. • 3. Newton’s 2nd law equation: When Wx=167.6 what is a and how does that value match with the problem statement. Can you find what is wrong? ∑F x = ma x T − Wx = 50kg (a x ) 150 N − Wx = 50kg (a x ) • 4. T=16.7 N right and a =0.69 m/s2 right 1