Bundle: Inquiry Into Physics, 8th + Webassign Printed Access Card For Ostdiek/bord's Inquiry Into Physics, 8th Edition, Single-term
Bundle: Inquiry Into Physics, 8th + Webassign Printed Access Card For Ostdiek/bord's Inquiry Into Physics, 8th Edition, Single-term
8th Edition
ISBN: 9781337605045
Author: Vern J. Ostdiek, Donald J. Bord
Publisher: Cengage Learning
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Chapter 1, Problem 27Q
To determine

The rank of arrows according to the maximum height that each achieves from greatest to smallest.

Expert Solution & Answer
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Answer to Problem 27Q

The rank of all arrows,

ArrowA:M=0.075kgV=16m/sArrowB:M=0.180kgV=12m/sArrowC:M=0.100kgV=18m/sArrowD:M=0.075kgV=12m/sArrowE:M=0.120kgV=10m/sArrowF:M=0.090kgV=16m/sArrowG:M=0.180kgV=10m/sArrowH:M=0.050kgV=8m/s Rank2 Rank3 Rank1 Rank3 Rank4 Rank2 Rank4 Rank5.

Explanation of Solution

Given information:

Eight arrows are given,

ArrowA:M=0.075kgV=16m/sArrowB:M=0.180kgV=12m/sArrowC:M=0.100kgV=18m/sArrowD:M=0.075kgV=12m/sArrowE:M=0.120kgV=10m/sArrowF:M=0.090kgV=16m/sArrowG:M=0.180kgV=10m/sArrowH:M=0.050kgV=8m/s

Concept Used:

Potential energy,

Ep=mgh.

Kinetic energy,

Ek=12mv2.

Calculation:

At ground, potential energy is zero, since the height is zero at ground.

At the highest point, the velocity become zero due to the deceleration affected by the gravity. So, the kinetic energy will be zero at highest point.

According to the law of conservation of energy, the kinetic energy of arrow is completely converted into the potential energy at the highest point. So,

mgh=12mv2hv2

The height is directly proportional to the square of initial velocity.

So, the order arrows based on maximum height is same as the order based on initial velocity.

Thus, the rank for each arrow is,

ArrowA:M=0.075kgV=16m/sArrowB:M=0.180kgV=12m/sArrowC:M=0.100kgV=18m/sArrowD:M=0.075kgV=12m/sArrowE:M=0.120kgV=10m/sArrowF:M=0.090kgV=16m/sArrowG:M=0.180kgV=10m/sArrowH:M=0.050kgV=8m/s Rank2 Rank3 Rank1 Rank3 Rank4 Rank2 Rank4 Rank5.

Conclusion:

The rank of all arrows,

ArrowA:M=0.075kgV=16m/sArrowB:M=0.180kgV=12m/sArrowC:M=0.100kgV=18m/sArrowD:M=0.075kgV=12m/sArrowE:M=0.120kgV=10m/sArrowF:M=0.090kgV=16m/sArrowG:M=0.180kgV=10m/sArrowH:M=0.050kgV=8m/s Rank2 Rank3 Rank1 Rank3 Rank4 Rank2 Rank4 Rank5.

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Chapter 1 Solutions

Bundle: Inquiry Into Physics, 8th + Webassign Printed Access Card For Ostdiek/bord's Inquiry Into Physics, 8th Edition, Single-term

Ch. 1 - (Indicates a review question, which means it...Ch. 1 - (Indicates a review question, which means it...Ch. 1 - (Indicates a review question, which means it...Ch. 1 - (Indicates a review question, which means it...Ch. 1 - (Indicates a review question, which means it...Ch. 1 - (Indicates a review question, which means it...Ch. 1 - Prob. 11QCh. 1 - (Indicates a review question, which means it...Ch. 1 - (Indicates a review question, which means it...Ch. 1 - (Indicates a review question, which means it...Ch. 1 - Prob. 15QCh. 1 - (Indicates a review question, which means it...Ch. 1 - Prob. 17QCh. 1 - (Indicates a review question, which means it...Ch. 1 - (Indicates a review question, which means it...Ch. 1 - (Indicates a review question, which means it...Ch. 1 - (Indicates a review question, which means it...Ch. 1 - (Indicates a review question, which means it...Ch. 1 - (Indicates a review question, which means it...Ch. 1 - Prob. 24QCh. 1 - Prob. 25QCh. 1 - Prob. 26QCh. 1 - Prob. 27QCh. 1 - A yacht is 20 m long. Express this length in feet.Ch. 1 - Prob. 2PCh. 1 - A convenient time unit for short time intervals is...Ch. 1 - One mile is equal to 1,609 m. Express this...Ch. 1 - A hypnotist, watch hanging from a chain swings...Ch. 1 - The quartz crystal used in an electric watch...Ch. 1 - A passenger jet flies from one airport to another...Ch. 1 - At the 2006 Winter Olympics in Torino, Italy, U.S....Ch. 1 - A runner in a marathon passes the 5-mile mark at 1...Ch. 1 - . The Moon is about 3.8 ×108 m from Earth....Ch. 1 - . In Figure 1.13, assume that m/s and m/s. Use a...Ch. 1 - . On a day when the wind is blowing toward the...Ch. 1 - . How far does a car going 25 m/s travel in 5 s?...Ch. 1 - . A long-distance runner has an average speed of 4...Ch. 1 - . Draw an accurate graph showing distance versus...Ch. 1 - The graph in Figure 1.38 shows the distance versus...Ch. 1 - . A high-performance sports car can go from 0 to...Ch. 1 - . As a baseball is being thrown it goes from 0 to...Ch. 1 - . A child attaches a rubber ball to string and...Ch. 1 - . A child sits on the edge of spinning...Ch. 1 - . A runner is going 10 m/s around a curved section...Ch. 1 - During a NASCAR race, a car goes 50 m/s around a...Ch. 1 - . A rocket accelerates from rest at a rate of 64...Ch. 1 - . Initially staionary, a train has a constant...Ch. 1 - . (a) Draw an accurate graph of the speed versus...Ch. 1 - . Draw an accurate graph of the velocity versus...Ch. 1 - . A skydiver jumps out of a helicopter and falls...Ch. 1 - . A rock is dropped off the side of a bridge and...Ch. 1 - . The roller coaster in Figure 1.39 starts at the...Ch. 1 - . During takeoff, an airplane goes from 0 to 50...Ch. 1 - Prob. 31PCh. 1 - . A bungee jumper falls for 1.3 s before the...Ch. 1 - . A drag-racing car goes from 0 to 300 mph in 5 s....Ch. 1 - Prob. 1CCh. 1 - The Moon's mass is 7.35 1022 kg, and it moves in a...Ch. 1 - A car is stopped at a red light. When the light...Ch. 1 - A spoils car is advertised to have a maximum...Ch. 1 - A spacecraft lands on a newly discovered planet...Ch. 1 - Prob. 6CCh. 1 - Prob. 7CCh. 1 - A race car starts from rest on a circular track...Ch. 1 - Prob. 9C
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