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Problem 4-Finding Trends in Gravity We want to figure out a general trend concerning the work done by gravity. To begin, consider a mass M moving along a straight line in 3-dimensional space: Where we are assuming the standard convention that up is the ty axis and both the x and z axes lie in the horizontal plane. (a) We know that the force of gravity has a magnitude of mg and points down. Express the force of gravity using unit vector notation with the coordinate system specified above. Fa - Di+ j+ DR (b) Use the component form of the dot product to calculate the work done by gravity on the mass M as it moves along a straight line in 3-dimensional space. Page 7/9 Modified from the original version by Ted Walker
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