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Explore practical scenarios involving Newton’s Laws of Motion with detailed calculations and solutions. From toys and lawnmowers to elevator scales and inclines, learn to apply these laws effectively. Enhance your understanding of forces, accelerations, tensions, and more.
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Example • Three kids are fighting over the same toy. One pulls the toy with a force of 20N (E), another pulls with a force of 15N (15°N of W), and the third pull with 22N (5°W of S). a) Find the total force on the toy. b) What is the toy’s acceleration?
Example • A child pulls on a wooden toy attached to a string. The toy has a mass of 5kg and the child pull on the string with a force of 25N at an angle of 50° with the horizontal. Assuming no friction. a) Draw the free body diagram. b) Calculate the normal force. c) Determine the acceleration of the toy.
Example • Working in his yard, a man pushes on a 50kg lawnmower. He exerts a force of 200N on the handle that makes and angle of 60° with the horizontal. a) Draw the free body diagram. b) Determine the Normal force. c) Find the acceleration of the mower.
Example • A 65kg man is standing on a bathroom scale in an elevator. What will the scale read when, a) the elevator is at rest b) the elevator accelerates up at 3.0 m/s2 c) the elevator accelerates down at 3.0 m/s2
Example • A .75kg mass is at rest on a frictionless, horizontal table. It is connected by a light string running over a pulley to a hanging .50kg mass. a) Draw the free body diagram b) Calculate the acceleration of the mass.
Example • A 3.0kg mass is resting on a frictionless incline of 30°. It is connected by a light string running over a pulley to a hanging mass of 2.0kg. a) What is the tension on the string? b) What is the acceleration of the mass?
Example A 10 kg box is placed at the top of a frictionless ramp with an angle of 30o with the horizontal. Calculate the acceleration of the box down the ramp.