Kinematics
A machine is a device that accepts energy in some available form and utilizes it to do a type of work. Energy, work, or power has to be transferred from one mechanical part to another to run a machine. While the transfer of energy between two machine parts, those two parts experience a relative motion with each other. Studying such relative motions is termed kinematics.
Kinetic Energy and Work-Energy Theorem
In physics, work is the product of the net force in direction of the displacement and the magnitude of this displacement or it can also be defined as the energy transfer of an object when it is moved for a distance due to the forces acting on it in the direction of displacement and perpendicular to the displacement which is called the normal force. Energy is the capacity of any object doing work. The SI unit of work is joule and energy is Joule. This principle follows the second law of Newton's law of motion where the net force causes the acceleration of an object. The force of gravity which is downward force and the normal force acting on an object which is perpendicular to the object are equal in magnitude but opposite to the direction, so while determining the net force, these two components cancel out. The net force is the horizontal component of the force and in our explanation, we consider everything as frictionless surface since friction should also be calculated while called the work-energy component of the object. The two most basics of energy classification are potential energy and kinetic energy. There are various kinds of kinetic energy like chemical, mechanical, thermal, nuclear, electrical, radiant energy, and so on. The work is done when there is a change in energy and it mainly depends on the application of force and movement of the object. Let us say how much work is needed to lift a 5kg ball 5m high. Work is mathematically represented as Force ×Displacement. So it will be 5kg times the gravitational constant on earth and the distance moved by the object. Wnet=Fnet times Displacement.
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12. A rope is used to pull a metal box 15.0 meters across the floor. The rope is held at an angle of 46.0° with
the floor and a force of 628 newtons. How much work does the force (tension) on the rope do?
13. Which requires more work, carrying a 420-N knapsack up a 200 meter high hill or carrying a 210-N
knapsack up a 400 meter high hill? Why?
14. Lee pushed horizontally with a 80-N force on a 20-kg mass 10 meters across a floor. Calculate to
amount of work Lee did.
15. The third floor of a house is 8.0 meters above street level, How much work is needed to move a 150-
kilogram refrigerator to the third floor?
16. Stan does 176 J of work lifting himself 0.300 m. What is Stan's mass?
17. A crane lifts a 2.25 x 103-N bucket containing 1.15 m³ of soil to a height of 7.50 meters. Calculate the
work the crane performs.
18. Mike pulls a sled across level snow with a force of 225-N along a rope that is 35.0° above the horizontal.
If the sled moved a distance of 65.3 meters, how work did Mike do?
19. Karen has a mass of 57.0 kilograms and she rides up an escalator at Woodly Park Station of the
Washington D.C. Metro. Karen rode a distance of 65.0 m, the longest escalator in the free world. How
much work did the escalator do on Karen if it has an inclination of 30.0°?
20. An 845-N sled is pulled a distance of 185 meters. The task requires 1.20 x 104 J of work and is done by
pulling on a rope with a force of 125-N. At what angle is the rope held?
21. Chris carried a carton of milk, weight 10-N, along a level hall to the kitchen, a distance of 3.50 meters.
How much work did Chris do?
22. A 4200-N piano is to be slid up a 3.5-m frictionless plank that makes an angle of 30.0° with the
horizontal. Calculate the work done in sliding the piano up the plank?"
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