Question

Newton's 2nd Law Worksheet PHYS& 114 1. Three random forces act on a single object, F.. 34.9 N at 34.2° North of West. F2 = 18.9 N at 15.2° West of South, and F 22.4 N at 34.2 South of East. (a) Draw an FBD of the object (b) Calculate the magnitude and direction of the net force acting on the object. (c) If the object has a mass of 14.3 kg, what is the magnitude and direction of the acceleration of the object? 2. An eagle swoops down and pulls a fish out of the water. But wait, what's this! A bear out of no where grabs on to the same fish. Answer the following questions based on the fact that the eagle is pulling on the fish with a force of 43.9 N at 54.0 CCW from the +x axis and the bear is pulling on the fish with a force of 56.2 N at an angle of 236 CCW from the +x axis. (a) Draw an FBD of the fish (b) Calculate the magnitude and direction of the net force acting on the fish (c) If the fish has a mass of 8.34 kg, what is the magnitude and direction of the acceleration of the fish? 3. It's my turn to play Mario. No, it's my turn to play Excite Bike. Two whiny children are fighting over an old school Nintendo controller to see who gets to play next. The child who wants to play Mario pulls on the controller with a force of 245 N at 68.3° North of East. The child who wants to play Excite Bike pulls on the controller with a force of 643 N at 12.7 East of South. But wait, old school controllers were actually connected by a wire to the console ㆌich is now pulling on the controller with a force of 310 N at 12.9° North of West. (a) Draw an FBD of the controller (b) Calculate the magnitude and direction of the net force acting on the controller. (c) If the controller has a mass of 1.33 kg, what is the magnitude and direction of the acceleration of the controller? . Professor Gorman is trying to convince the Dean that stand up desks in the classroom will help boost student performance. The Dean graciously lets him try it out Now Professor Gorman needs to move a bunch of stand up desks to the classroom. He pushes on one stand up desk with a force of 456 N down the hall. Since he is weak he asks a Midshipman Candidate to belp and the M/C pushes with a foroe of 670 N down the hll. The friction from the stand up desk pushes back with a foree of 892 N (a) Draw an FBD of the stand up desk. (b) Calculate the magnitude and direction of the net force acting on the stand up desk. (c) If the stand up desk has a mass of 65.3 kg, what is the magnitude and direction of the acceleration of the stand up desk? 5. Three midshipmen candidates all happen to reach for a cover at the same time. Each M/C is sure the cover belongs to him or her and all three end up in a tug of war for the prize. M/C one pulls with a force of 25.0N at 20° North of West, M/C two pulls with a force of 35.0 N at 50 North of West and M/C three pulls with a force of 40.0 N at 30 South of East. What is the magnitude and direction of the net force experiencesd by the cover?

Answer 1

As per HomeworkLib guide lines i did 1 only

As per HomeworkLib guide lines i did 1 only b) write forces in vector form F_1 = -(34.9 N) cos 34.2 i + (34.9 N) sin 34.2 j F_1 = (- 28.865 i + 19.6167 j) N F_2 = (- 18.9 N) sin 15.2 degree i + (- 18.9 N) cos 15.2 degree j F_2 = (- 4.955 i - 18.2388 j)N F_3 = (22.4 N) cos 34.2 degree i + (- 22.4 N) sin 34.2 j F_3 = (18.5266 i - 12.590 j)N F_net = F_1 + F_2 + F_3 = (- 15.2934 i - 11.212 j)N Vertical-bar F_net Vertical-bar = squareroot 15.2934^2 + 11.212^2 = 18.96 N theta = tan^- 1(11.212/15.2934) = 36 degree south of west c) a = F_net/m = -15.2934 N/14.3 kf i - 11.212 N/14.3 kg j a = (- 1.069468 i - 0.7840 j) m/s^2 Vertical-bar a Vertical-bar = 1.326 m/s^2, theta = 36 degree south of west