An object can possess kinetic energy, the energy of motion, and/or potential ene

Question

An object can possess kinetic energy, the energy of motion, and/or potential energy, the energy of position Energy can be transferred in many ways, one of which is in the form of work. Work, w, is the energy transferred when an object is caused to move a distance, d, against a force, F. Mathematically, we would write this as w = Fd Force is the product of mass, m, and acceleration, a: F = ma When the acceleration is due to gravity, the symbol g is used instead of a and its value is g = 9 81 m middot s^-2. How much work is done when a 175 g tomato is lifted 10 1 m ? Express your answer with the appropriate units. This question will be shown after you complete previous question(s).

Explanation / Answer

Work is equal to (for your purposes anyway) force times displacement. The displacement of the tomato is 10.1m. The force is a wee bit more complicated, though you were on the right track with multiplying them. The gravitational force acting on the tomato is equal to its mass times the gravitational constant 9.8 m/sec² (also, we need to express 175 g in kg, which would be 0.175 kg [just divide by 1000]). The gravitational force, or weight, of the tomato is then (.175kg)(9.8m/sec²) = 1.715 N. The work done is thus (1.715 N)(10.1 m) = 17.32 J.

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