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Version 2 is now LIVE! We have more than tripled the number of problems, broken each unit into several smaller, single-topic problem sets, and utilized a random number generator to provide numerical information for each problem. Student answers are automatically evaluated and feedback is instant.
Use work and energy principles to calculate a speed or a height or an energy value. Most problems include little to no little scaffolding. Includes 10 problems.
If an object of mass 2 kg is thrown up from the ground reaches a height of 5 m and falls back to the Earth (neglect the air resistance). Calculate. a) The work done by gravity when the object reaches 5 m height. b) The work done by gravity when the object comes back to Earth.
See examples of mechanical energy problems involving kinetic energy, potential energy, and the conservation of energy. Check your work with ours.
Use your understanding of the work-energy theorem to answer the following questions. Then click the button to view the answers. 1. Consider the falling and rolling motion of the ball in the following two resistance-free situations. In one situation, the ball falls off the top of the platform to the floor.
In this collection of exercises we will study the concepts of work and energy and see how these quantities manifest themselves and interconnect, including through familiar objects from previous collections such as springs and inclined planes.
Answer. We start by defining a coordinate system. We choose the \(x\) axis to be horizontal and positive in the direction of motion, and we choose the \(y\) axis to be vertical and the positive direction upwards. We will determine the speed at the top of the ramp, \(v_t\), using the Work-Energy Theorem:
