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What is the magnitude and direction of the vector


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1.A roller coaster travels 200 feet horizontally and then rises 135 feet at an angle of 30 degrees above the ...

ve the ground. What is the magnitude and direction of the resultant vector?
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2.A diving board of neglible mass and length 3.0m is hinged at its left end and rests on top of ...

ort a distance d= 0.4 m away from the left end. A person of mass 61 kg stands at rest at the right end. What is the magnitude of the force provided by the hinge?
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3.Two masses are arranged as shown, with M1= 59 kg and M2= 140 kg far away from the gravitational effects ...

cts of any other masses. What is the magnitude of the gravitational force acting on mass M1 in the horizontal direction?
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4.2)Two books are accelerating to the right on a frictional surface and the coefficient of kinetic friction between the floor ...

ction between the floor and book is µk. Using the information given in the figure: (a) draw free body diagrams for both the books, and also for the combined system (of mass m1+m2), (b) find acceleration of the books along horizontal direction, and (c) find the magnitude and direction of the force exerted by the left book on the right book. 3.A car of mass 1500-kg enters a circular path at point P and leaves at point Q (see the figure) at constant speed of 5.0m/s, and the frictional force acting on its tires is 2500-N. a) how long it takes to reach point Q from point P, and b) what should be the minimum value of the coefficient of static friction between the tires and the road? 4)In an elevator which is accelerating downward at 2.5ms−2 , a 25-kg block hangs from a spring attached to the ceiling of the elevator. If spring gets stretched by 0.15m, find its spring constant.
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5.A 90 kg crate rests on a level floor at a shipping dock. The coefficients of static and kinetic friction ...

tion are 0.66 and 0.31, respectively. A man pushes down and forward on the crate at an angle of 42° from the horizontal. (a) Draw a free body diagram. Include all components as taught in the course. (b) What is the magnitude of the pushing force required to slide the crate across the dock at a constant acceleration of 2.1 m/s2?
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7.n a grandfather’s clock, the “needle” indicating the hour is 3.00 cm in length, whereas the minute needle is 6.00 ...

nute needle is 6.00 cm in length. What is the magnitude and direction of the vector that points from the tip of the hour needle to the tip of the minute needle at 3.40 pm? Note that, as the minute needle moves, the hour needle progresses as well.
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8.Use g = 9.8 m/s2. The diagram below is a top-down view of two children pulling a 11.8-kg sled along the ...

ng the snow. The first child exerts a force of F1 = 11 N at an angle θ1 = 45° counterclockwise from the positive x direction. The second child exerts a force of F2 = 6 N at an angle θ2 = 30° clockwise from the positive x direction. Find the magnitude (in N) and direction of the friction force acting on the sled if it moves with constant velocity. magnitude direction (counterclockwise from the +x-axis) What is the coefficient of kinetic friction between the sled and the ground? What is the magnitude of the acceleration (in m/s2) of the sled if F1 is doubled and F2 is halved in magnitude?
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1.AU MAT 120 Systems of Linear Equations and Inequalities Discussion

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