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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

What exchanges of energy (between what forms) happens when a hand grenade explodes and sends pieces of its casing flying away from the explosion at high velocity? You may wish to describe more than one step/exchange.

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?

If a 70 kg person (weight: \(700 \mathrm{~N}\) ) is capable of putting out energy at a rate of \(500 \mathrm{~W}\) in short bursts, how long will it take the person to race up a flight of stairs \(4 \mathrm{~m}\) high, considering only the vertical energy \(^{42}\) required?

The chapter banner image (page 68 ) has two panels relating to the same hot water heater. One indicates the rate of gas usage when the heater is on (ignited, heating water) as \(40,000 \mathrm{Btu} / \mathrm{hr}\), and the other anticipates 242 Therms per year will be used. How many hours per day is the heater expected to be on (heating water) based on these numbers?

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?
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