Physics: Principles with Applications
Physics: Principles with Applications
6th Edition
ISBN: 9780130606204
Author: Douglas C. Giancoli
Publisher: Prentice Hall
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Chapter 6, Problem 32P
To determine

ToDetermine:Height that the person Jswings upward.

Expert Solution & Answer
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Answer to Problem 32P

Solution: 1.275 m

Explanation of Solution

Given:5.0 m/s

Formula Used:

The forces acting on Person J are the force due to gravity and tension due to the vine. Work done by the tension force is zero because of perpendicular to the direction of her motion.

According to the law of conservation of energy:

  Einitial=Efinalmghi+12mv12=mghf+12mvf2

Where m is the mass of Person J, hi is the initial height of Person J, vi is the initial velocity of Person J, vf is the final velocity of the Person J,  hf is the final height of the Person J, g is acceleration due to gravity.

Calculations:

She has kinetic energy, but potential energy is zero and she is having swung up to some height h, and momentarily at rest. Here she has potential energy, and kinetic energy is zero.

Substituting velocity value in above equation and solve for final height

  mghi+12mv12=mghf+12mvf20+12mv12=mghf+012mv12=mghf12×gv12=hfhf=12×9.852hf=1.275 m

Person J can swing upward of height 1.275 m.

Conclusion:Person J can swing upward of height 1.275 m to look for Tarzan,Person J running along the level ground with a velocity of 5.0 m/s.

Chapter 6 Solutions

Physics: Principles with Applications

Ch. 6 - A hill has a height h. A child on a sled (total...Ch. 6 - Analyze the motion of a simple swinging pendulum...Ch. 6 - In Fig. 6-31, water balloons are tossed from the...Ch. 6 - What happens to the gravitational potential energy...Ch. 6 - Experienced hikers prefer to step over a fallen...Ch. 6 - Prob. 16QCh. 6 - The energy transformations in pole vaulting and...Ch. 6 - Prob. 18QCh. 6 - 17. Two identical arrows, one with twice the speed...Ch. 6 - Prob. 20QCh. 6 - Prob. 21QCh. 6 - Describe the energy transformations that take...Ch. 6 - Prob. 23QCh. 6 - Prob. 24QCh. 6 - Prob. 25QCh. 6 - A 75.0-kg firefighter climbs a flight of stairs...Ch. 6 - The head of a hammer with a mass of 1.2 kg is...Ch. 6 - How much work did the movers do (horizontally)...Ch. 6 - A 1200-N crate rests on the floor. How much work...Ch. 6 - What is the minimum work needed to push a 950-kg...Ch. 6 - Estimate the work you do to mow a lawn 10 m by 20...Ch. 6 - In a certain library the first shelf is 15.0 cm...Ch. 6 - A lever such as that shown in Fig. 6-35 can be...Ch. 6 - A box of mass 4.0 kg is accelerated from rest by a...Ch. 6 - A 380-kg piano slides 2.9 m down a 25° incline and...Ch. 6 - Recall from Chapter 4, Example 4-14, that you can...Ch. 6 - A grocery cart with mass of 16 kg is being pushed...Ch. 6 - The force on a particle, acting along the x axis,...Ch. 6 - A 17,000-kg jet takes off from an aircraft carrier...Ch. 6 - At room temperature, an oxygen molecule, with mass...Ch. 6 - (a) If the kinetic energy of a particle is...Ch. 6 - How much work is required to stop an electron...Ch. 6 - How much work must be done to stop a 925-kg car...Ch. 6 - Prob. 19PCh. 6 - A baseball (m = 145 g) traveling 32 m/s moves a...Ch. 6 - Prob. 21PCh. 6 - Prob. 22PCh. 6 - Prob. 23PCh. 6 - 24. (Ill) One car has twice the mass of a second...Ch. 6 - 25. (Ill) A 265-kg load is lifted 18.0 m...Ch. 6 - 26. (I) By how much does the gravitational...Ch. 6 - A spring has a spring constant k of 88.0 N/m. How...Ch. 6 - Prob. 28PCh. 6 - 29. (II) A 66.5-kg hiker starts at an elevation of...Ch. 6 - Prob. 30PCh. 6 - A novice skier starting from rest, slides down an...Ch. 6 - 32. (I) Jane, looking for Tarzan, is running at...Ch. 6 - A sled is initially given a shove up a...Ch. 6 - Prob. 34PCh. 6 - 35. (II) A spring with k=83 N/m hangs vertically...Ch. 6 - Prob. 36PCh. 6 - Prob. 37PCh. 6 - Prob. 38PCh. 6 - Prob. 39PCh. 6 - Prob. 40PCh. 6 - Prob. 41PCh. 6 - 42. (II) What should be the spring constant k of a...Ch. 6 - 43. (Ill) An engineer is designing a spring to be...Ch. 6 - Prob. 44PCh. 6 - 45. (III) A cyclist intends to cycle up a 7.50°...Ch. 6 - Prob. 46PCh. 6 - Prob. 47PCh. 6 - Prob. 48PCh. 6 - Prob. 49PCh. 6 - Prob. 50PCh. 6 - Prob. 51PCh. 6 - 52. (II) You drop a ball from a height of 2.0 m,...Ch. 6 - 53. (II) A 66-kg skier starts from rest at the top...Ch. 6 - 54. (II) A projectile is fired at an upward angle...Ch. 6 - 55. (II) The Lunar Module could make a safe...Ch. 6 - 56. (III) Early test flights for the space shuttle...Ch. 6 - How long will It take a 2750-W motor to lift a...Ch. 6 - 58. (I) (a) Show that one British horsepower (550...Ch. 6 - An 85-kg football player traveling 5.0 m/s is...Ch. 6 - Prob. 60PCh. 6 - Prob. 61PCh. 6 - A shot-putter accelerates a 7.3-kg shot from rest...Ch. 6 - Prob. 63PCh. 6 - 64. (II) How much work can a 2.0-hp motor do in...Ch. 6 - Prob. 65PCh. 6 - Prob. 66PCh. 6 - Prob. 67PCh. 6 - Prob. 68PCh. 6 - Prob. 69PCh. 6 - 70. (II) What minimum horsepower must a motor have...Ch. 6 - Prob. 71PCh. 6 - Prob. 72GPCh. 6 - Prob. 73GPCh. 6 - Prob. 74GPCh. 6 - Prob. 75GPCh. 6 - Prob. 76GPCh. 6 - Prob. 77GPCh. 6 - Prob. 78GPCh. 6 - Prob. 79GPCh. 6 - Prob. 80GPCh. 6 - Prob. 81GPCh. 6 - Prob. 82GPCh. 6 - Prob. 83GPCh. 6 - Prob. 84GPCh. 6 - Prob. 85GPCh. 6 - Prob. 86GPCh. 6 - Prob. 87GPCh. 6 - Prob. 88GPCh. 6 - Prob. 89GPCh. 6 - Prob. 90GPCh. 6 - Prob. 91GPCh. 6 - Prob. 92GPCh. 6 - Prob. 93GPCh. 6 - Prob. 94GP
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