Find the Work Done by a Force $\mathbf { F } = \mathbf { i } + 5 \mathbf { j } + 7 \mathbf { k }$

question 31

Multiple Choice

Find the work done by a force $\mathbf { F } = \mathbf { i } + 5 \mathbf { j } + 7 \mathbf { k }$ that moves an object from the point $( 3,0,5 )$ to the point $( 7,5,10 )$ along a straight line. The distance is measured in meters and the force in newtons.

• A) \(64 \mathrm {~J}\)
• B) \(74 \mathrm {~J}\)
• C) \(84 \mathrm {~J}\)
• D) \(94 \mathrm {~J}\)
• E) \(104 \mathrm {~J}\)

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Definitions:

Shortage

A situation where the demand for a product or service exceeds the supply available at a specific price.

Equilibrium Price

The price at which the quantity of a good or service demanded by consumers equals the quantity supplied by producers, resulting in market equilibrium.

Lumber

Timber sawed or split into planks, beams, and other shapes, used for building or crafting purposes.

Demand

The desire to own anything, accompanied by the power and willingness to pay for it.