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Car's Velocity and Acceleration Curves; Forces and Axes in Mechanics

This text explains the representation of a car's velocity and acceleration curves, along with the forces and axes involved in mechanics problems.

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Car's Velocity and Acceleration Curves; Forces and Axes in Mechanics

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  1. A car drives past point x=0 at time t=0at a constant speed of 50 km/hr. Shortly after it accelerates rapidly to 100 km/hr at t1. It holds this speed until a rabbit runs onto the road at t2when the car comes to a screeching stop. Which of the curves shown above best represents the car’s i) velocity ii) acceleration?

  2. A person pulls a block across a rough horizontal surface at a constant speed by applying a force F. The arrows in the diagram below correctly indicate the directions, but not necessarily the magnitudes of the various forces on the block. Which of the following relations among the force magnitudes must be true?

  3. y x y x In the figure on the right, a block of slides down the roof, starting from rest. To calculate the speed as it leaves the roof, which is the best choice of axes? • Because the horizontal direction is always in the x-direction • Because the force of gravity is always in the y-direction • Because the acceleration is along the direction of the roof • None of the above y x

  4. m1 m2 a) b) c) d) Which of the following is the best FBD of m1? (Assume the pulley is frictionless, the string has negligible mass and the coefficient of friction between the block and incline is )

  5. The FBD on the right is for a block accelerating up an inclined plane. Which are the correct equations?

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