Explanation Given: The inclination of the hill is 4 ∘ . The mass of the cyclist is 85 kg. The cyclist travels 180 m along the inclined plane. Formula used: To calculate the work done by gravity on the cyclist, the height h , which the cyclist travels, must be calculated from the data given. The work done by gravity is, W = m g h . To calculate the final velocity of the cyclist, one uses the kinematics equation v 2 = v 0 2 + 2 a s Here, s is the distance moved and a is the acceleration. Calculations: sin 4 ° = h 180 h = 180 × sin 4 ° h = 12.6 m Part a Thework done by gravity: W = ( 85 × 9.8 × 12.6 ) J W = 10 , 496 J W = 10

Physics: Principles with Applications, Books a la Carte Edition & Modified Mastering Physics with Pearson eText -- ValuePack Access Card Package

1st Edition

ISBN: 9780321974990

Author: Douglas C. Giancoli

Publisher: PEARSON

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Chapter 6, Problem 83GP

To determine

a. The net work done by gravity on the cyclist.

b. The speed of the cyclist.

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Chapter 6, Problem 82GP

Chapter 6, Problem 84GP

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Chapter 6 Solutions

Physics: Principles with Applications, Books a la Carte Edition & Modified Mastering Physics with Pearson eText -- ValuePack Access Card Package

Ch. 6 - A skier starts at the top of a hill. On which run...Ch. 6 - In what ways is the word “work’' as used in...Ch. 6 - Can a centripetal force ever do work on an object?...Ch. 6 - Why is it tiring to push hard against a solid wall...Ch. 6 - Can the normal force on an object ever do work?...Ch. 6 - You have two springs that are identical except...Ch. 6 - If the speed of a particle triples, by what factor...Ch. 6 - List some everyday forces that are not...Ch. 6 - A hand exerts a constant horizontal force on a...Ch. 6 - You lift heavy book from a table to a high shelf....

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 - The energy transformations in pole vaulting and...Ch. 6 - Prob. 16Q Ch. 6 - 17. Two identical arrows, one with twice the speed...Ch. 6 - Prob. 18Q Ch. 6 - Prob. 19Q Ch. 6 - Describe the energy transformations that take...Ch. 6 - Prob. 21Q Ch. 6 - Prob. 22Q Ch. 6 - Prob. 23Q Ch. 6 - Prob. 1MCQ Ch. 6 - Prob. 2MCQ Ch. 6 - When the speed of your car is doubled, by what...Ch. 6 - Prob. 4MCQ Ch. 6 - Prob. 5MCQ Ch. 6 - Prob. 6MCQ Ch. 6 - Prob. 7MCQ Ch. 6 - Prob. 8MCQ Ch. 6 - Prob. 9MCQ Ch. 6 - Prob. 10MCQ Ch. 6 - Prob. 11MCQ Ch. 6 - Prob. 12MCQ Ch. 6 - Prob. 13MCQ Ch. 6 - Prob. 14MCQ Ch. 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. 19P Ch. 6 - A baseball (m = 145 g) traveling 32 m/s moves a...Ch. 6 - Prob. 21P Ch. 6 - Prob. 22P Ch. 6 - Prob. 23P Ch. 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. 28P Ch. 6 - 29. (II) A 66.5-kg hiker starts at an elevation of...Ch. 6 - Prob. 30P Ch. 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. 34P Ch. 6 - 35. (II) A spring with k=83 N/m hangs vertically...Ch. 6 - Prob. 36P Ch. 6 - Prob. 37P Ch. 6 - Prob. 38P Ch. 6 - Prob. 39P Ch. 6 - Prob. 40P Ch. 6 - Prob. 41P Ch. 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. 44P Ch. 6 - 45. (III) A cyclist intends to cycle up a 7.50°...Ch. 6 - Prob. 46P Ch. 6 - Prob. 47P Ch. 6 - Prob. 48P Ch. 6 - Prob. 49P Ch. 6 - Prob. 50P Ch. 6 - Prob. 51P Ch. 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. 60P Ch. 6 - Prob. 61P Ch. 6 - A shot-putter accelerates a 7.3-kg shot from rest...Ch. 6 - Prob. 63P Ch. 6 - 64. (II) How much work can a 2.0-hp motor do in...Ch. 6 - Prob. 65P Ch. 6 - Prob. 66P Ch. 6 - Prob. 67P Ch. 6 - Prob. 68P Ch. 6 - Prob. 69P Ch. 6 - 70. (II) What minimum horsepower must a motor have...Ch. 6 - Prob. 71P Ch. 6 - Prob. 72GP Ch. 6 - Prob. 73GP Ch. 6 - Prob. 74GP Ch. 6 - Prob. 75GP Ch. 6 - Prob. 76GP Ch. 6 - Prob. 77GP Ch. 6 - Prob. 78GP Ch. 6 - Prob. 79GP Ch. 6 - Prob. 80GP Ch. 6 - Prob. 81GP Ch. 6 - Prob. 82GP Ch. 6 - Prob. 83GP Ch. 6 - Prob. 84GP Ch. 6 - Prob. 85GP Ch. 6 - Prob. 86GP Ch. 6 - Prob. 87GP Ch. 6 - Prob. 88GP Ch. 6 - Prob. 89GP Ch. 6 - Prob. 90GP Ch. 6 - Prob. 91GP Ch. 6 - Prob. 92GP Ch. 6 - Prob. 93GP Ch. 6 - Prob. 94GP

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a. The net work done by gravity on the cyclist. b. The speed of the cyclist.