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Chapter 5: Problem 4

Come up with your own scenario (a force and a distance) that would result in \(100 \mathrm{~J}\) of energy expenditure.

Short Answer

Expert verified
Answer: In this scenario, a force of 20 Newtons would need to be applied to an object and moved a distance of 5 meters in the same direction as the applied force to result in 100 Joules of energy expenditure.

Step by step solution

01

Choose a force and angle

Let's select a force of 20 Newtons and an angle of 0 degrees, meaning that the force and distance vectors are in the same direction.
02

Calculate the distance

Now, we will use the formula for calculating work done and solve for the distance, d: Work = Force × Distance × cos(θ) Plugging in the given values: \(100 \mathrm{~J} = 20 \mathrm{~N} \times d \times \cos(0)\) Since cos(0) = 1, the equation simplifies to: \(100 \mathrm{~J} = 20 \mathrm{~N} \times d\) Now, divide both sides by 20 N to get the distance: \(d = \frac{100 \mathrm{~J}}{20 \mathrm{~N}} = 5 \mathrm{~m}\)
03

State the scenario

The scenario that would result in 100 Joules of energy expenditure is applying a force of 20 Newtons to an object and moving it a distance of 5 meters in the same direction as the applied force.

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Most popular questions from this chapter

Houses in the U.S. are equipped with circuit protection rated to 100 or 200 Amps, typically. If a 100 A house is operating at \(80 \%\) of its rated capacity, \(^{52}\) how much power is it consuming (at \(120 \mathrm{~V}\) )? If sustained for a month, how many kWh will show up on the bill? At \(\$ 0.15 / \mathrm{kWh}\), what is the cost?

A \(50 \mathrm{~kg}\) crate might require \(200 \mathrm{~N}\) to slide across a concrete floor. If we must slide it \(10 \mathrm{~m}\) along the floor and then lift it \(2 \mathrm{~m}\) into a truck, how much energy goes into each action, and what fraction of the total energy expenditure is each?

A couch might take \(100 \mathrm{~N}\) to slide across a floor. If someone slides the couch 4 meters and does it in 8 seconds, how much power did they expend?

A typical textbook may have a mass of \(1 \mathrm{~kg}\), and thus a weight of about \(10 \mathrm{~N}\). How high could the textbook be lifted (against the force of gravity) by supplying one Joule of energy?

If Problem 21 had resulted in \(5,000 \mathrm{~W},{ }^{46}\) how many kilowatt- hours (kWh) are expended in a 24 -hour period? At an electricity cost of around \(\$ 0.15\) per \(\mathrm{kWh},{ }^{47}\) about how much will it cost, per day, to maintain heat?
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