The concepts in this problem are similar to those in Multiple-Concept Example 4, except that the force doing the work in this problemis the tension in the cable. A rescue helicopter lifts a 90.7-kg person straight up by means of a cable. The person has an upwardacceleration of 0.649 m/s² and is lifted from rest through a distance of 12.6 m. (a) What is the tension in the cable? How much work isdone by (b) the tension in the cable and (c) the person's weight? (d) Use the work-energy theorem and find the final speed of theperson.(a) Number i(b) Number i(c) Number(d) NumberiUnitsUnitsUnitsUnits> EXAMPLE 4 | The Physics of an lon Propulsion DriveThe space probe Deep Space 1 was launched October 24, 1998, and it used a type of engine called an ion propulsion drive. An ion propulsion drive generates only a weak force (or thrust), but can do so for long periods of time using only small amountsof fuel. Suppose the probe, which has a mass of 474 kg, is traveling at an initial speed of 275 m/s. No forces act on it except the 5.60 × 10-2-N thrust of its engine. This external force F is directed parallel to the displacement S, which has a magnitudeof 2.42 × 109 m (see Figure 6.6). Determine the final speed of the probe, assuming that its mass remains nearly constant.Knowns and UnknownsThe following list summarizes the data for this problem:FFigure 6.6 An ion propulsion drive generates a single force F that points in the same direction as the displacements. The force performs positive work, causing the space probe to gain kinetic energy.ReasoningIf we can determine the final kinetic energy of the space probe, we can determine its final speed, since kinetic energy is related to mass and speed according to Equation 6.2 and the mass of the probe is known. We will use the work-energy theorem (W= KE - KE), along with the definition of work, to find the final kinetic energy.DescriptionExplicit DataMassInitial speedMagnitude of forceMagnitude of displacementImplicit DataAngle between force F and displacement sUnknown VariableFinal speedSymbolmVoFS0FUfValue474 kg275 m/s5.60 x 10-2 N2.42 × 109 m0°?CommentThe force is parallel to the displacement.

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Description: The concepts in this problem are similar to those in Multiple-Concept Example 4, except that the force doing the work in this problemis the tension in the cable. A rescue helicopter lifts a 90.7-kg person straight up by means of a cable. The person

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The concepts in this problem are similar to those in Multiple-Concept Example 4, except that the force doing the work in this problem is the tension in the cable. A rescue helicopter lifts a 90.7-kg person straight up by means of a cable. The person has an upward acceleration of 0.649 m/s² and is lifted from rest through a distance of 12.6 m. (a) What is the tension in the cable? How much work is done by (b) the tension in the cable and (c) the person's weight? (d) Use the work-energy theorem and find the final speed of the person. (a) Number i (b) Number i (c) Number (d) Number i Units Units Units Units < < > <

The concepts in this problem are similar to those in Multiple-Concept Example 4, except that the force doing the work in this problem is the tension in the cable. A rescue helicopter lifts a 90.7-kg person straight up by means of a cable. The person has an upward acceleration of 0.649 m/s² and is lifted from rest through a distance of 12.6 m. (a) What is the tension in the cable? How much work is done by (b) the tension in the cable and (c) the person's weight? (d) Use the work-energy theorem and find the final speed of the person. (a) Number i (b) Number i (c) Number (d) Number i Units Units Units Units < < > <

College Physics

11th Edition

ISBN:9781305952300

Author:Raymond A. Serway, Chris Vuille

Publisher:Raymond A. Serway, Chris Vuille

Chapter1: Units, Trigonometry. And Vectors

Section: Chapter Questions

Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...

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The concepts in this problem are similar to those in Multiple-Concept Example 4, except that the force doing the work in this problem is the tension in the cable. A rescue helicopter lifts a 82.3-kg person straight up by means of a cable. The person has an upward acceleration of 0.668 m/s² and is lifted from rest through a distance of 9.10 m. (a) What is the tension in the cable? How much work is done by (b) the tension in the cable and (c) the person's weight? (d) Use the work-energy theorem and find the final speed of the person. t tou