Answered: A spacecraft starts from rest, and…

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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1.A spacecraft starts from rest, and makes a journey to a destination 258000 km from its starting point. It does so by accelerating at a constant rate of 11.65 m/s^2 up to the midpoint of the journey, and then decelerates at the same constant rate of 11.65 m/s^2 for the second half of the journey, ending at rest. How long did the entire journey take?

		2 hr 37 min
		1 hr 51 min
		6 hr 9 min
		3 hr 5 min

2. An unidentified flying object (UFO) is observed to travel a total distance of 47000 m, starting and ending at rest, over a duration of 1.18 s. Assuming the UFO accelerated at a constant rate to the midpoint of its journey and then decelerated at a constant rate the rest of the way, what was the magnitude of its acceleration? Express your answer in g s , where 1 g = 9.81 m/s^2.

		6,882 g s
		135,019 g s
		67,509 g s
		13,763 g s

3. A Ford passes a Toyota on the road (both vehicles are traveling in the same direction). The Ford moves at a constant speed of 46.0 m/s. Just as the Ford passes it, the Toyota is traveling at 14.8 m/s. As soon as the Ford passes the Toyota, the Toyota begins to accelerate forward at a constant rate. Meanwhile the Ford just keeps going at a steady 46.0 m/s to the east. The Toyota catches up to the Ford a distance of 88.7 m ahead of where the Ford first passed it. What was the magnitude of the Toyota s acceleration?

		32.4 m/s^2
		10.7 m/s^2
		16.2 m/s^2
		5.4 m/s^2

4. Driving down the road at a speed of 24.2 m/s, you suddenly notice a fallen tree blocking the road a distance of 57.7 m ahead of you. You step on the brake pedal and decelerate at a constant rate. What must the magnitude of your acceleration be so that you will come to a stop 6.4 m in front of the tree?

		5.71 m/s^2
		5.07 m/s^2
		4.57 m/s^2
		11.42 m/s^2

5. The next few questions challenge you to figure out the acceleration due to gravity ( g ) on various hypothetical alien planets. On Planet #1, you drop a stone from rest, 82.6 m above the ground, and the stone hits the ground 2.64 s later. What is the value of g on Planet #1?

		11.85 m/s^2
		31.29 m/s^2
		62.58 m/s^2
		23.70 m/s^2

6. On planet #2, you launch a projectile straight up from the ground at a speed of 29.3 m/s. The projectile reaches a maximum height of 24.9 m before falling back to the ground. What is the value of g for planet #2?

		21.16 m/s^2
		17.24 m/s^2
		34.48 m/s^2
		10.58 m/s^2

7. On planet #3, you fire a projectile horizontally from the edge of a vertical cliff 53.7 m above the ground, with an initial speed of 47.5 m/s. The projectile lands 55.4 m away from the base of the cliff. What is the value of g for planet #3?

		39.48 m/s^2
		43.35 m/s^2
		141.61 m/s^2
		78.95 m/s^2

Expert Solution

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Since you have posted multiple questions, we will solve the first one only as per guideline. Please resubmit the second question for its solution.

Given that:

$d = 258000 \times 10^{3} m a = 11.65 m / s^{2}$

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