/*! This file is auto-generated */ .wp-block-button__link{color:#fff;background-color:#32373c;border-radius:9999px;box-shadow:none;text-decoration:none;padding:calc(.667em + 2px) calc(1.333em + 2px);font-size:1.125em}.wp-block-file__button{background:#32373c;color:#fff;text-decoration:none} Problem 12 In \(1899,\) Charles \(\mathrm{M... [FREE SOLUTION] | 91影视

91影视

Log out

Learning Materials

Features

Discover

Chapter 6: Problem 12

In \(1899,\) Charles \(\mathrm{M}\). "Mile a Minute" Murphy set a record for speed on a bicycle by pedaling for a mile at an average of $62.3 \mathrm{mph}(27.8 \mathrm{m} / \mathrm{s})$ on a 3 -mi track of plywood planks set over railroad ties in the draft of a Long Island Railroad train. In \(1985,\) a record was set for this type of "motor pacing" by Olympic cyclist John Howard who raced at 152.2 mph \((68.04 \mathrm{m} / \mathrm{s})\) in the wake of a race car at Bonneville Salt Flats. The race car had a modified tail assembly designed to reduce the air drag on the cyclist. What was the kinetic energy of the bicycle plus rider in each of these feats? Assume that the mass of bicycle plus rider is \(70.5 \mathrm{kg}\) in each case.

Short Answer

Expert verified
Question: Calculate the kinetic energy of the bicycle plus rider for Mile a Minute Murphy and John Howard, given their speeds and the mass of the bicycle plus rider. Answer: The kinetic energy for Mile a Minute Murphy is approximately 27,040.59 Joules and for John Howard is approximately 166,473.32 Joules.

Step by step solution

01

Calculate the Kinetic Energy for Mile a Minute Murphy

We are given Murphy's speed as \(27.8 \ m/s\) and the mass of the bicycle plus rider as \(70.5 \ kg\). We can now use the kinetic energy formula to calculate the kinetic energy: \(K = \frac{1}{2}mv^2\) \(K = \frac{1}{2}(70.5 \ \text{kg})(27.8 \ \text{m/s})^2\) \(K \approx 27{,}040.59 \ \text{Joules}\) The kinetic energy of the bicycle plus rider for Mile a Minute Murphy is approximately \(27{,}040.59 \ \text{Joules}\).
02

Calculate the Kinetic Energy for John Howard

We are given Howard's speed as \(68.04 \ m/s\) and the mass of the bicycle plus rider as \(70.5 \ kg\). We can now use the kinetic energy formula to calculate the kinetic energy: \(K = \frac{1}{2}mv^2\) \(K = \frac{1}{2}(70.5 \ \text{kg})(68.04 \ \text{m/s})^2\) \(K \approx 166{,}473.32 \ \text{Joules}\) The kinetic energy of the bicycle plus rider for John Howard is approximately \(166{,}473.32 \ \text{Joules}\).

Unlock Step-by-Step Solutions & Ace Your Exams!

  • Full Textbook Solutions

    Get detailed explanations and key concepts

  • Unlimited Al creation

    Al flashcards, explanations, exams and more...

  • Ads-free access

    To over 500 millions flashcards

  • Money-back guarantee

    We refund you if you fail your exam.

Over 30 million students worldwide already upgrade their learning with 91影视!

One App. One Place for Learning.

All the tools & learning materials you need for study success - in one app.

Get started for free

Most popular questions from this chapter

Emil is tossing an orange of mass \(0.30 \mathrm{kg}\) into the air. (a) Emil throws the orange straight up and then catches it, throwing and catching it at the same point in space. What is the change in the potential energy of the orange during its trajectory? Ignore air resistance. (b) Emil throws the orange straight up, starting \(1.0 \mathrm{m}\) above the ground. He fails to catch it. What is the change in the potential energy of the orange during this flight?
Sean climbs a tower that is \(82.3 \mathrm{m}\) high to make a jump with a parachute. The mass of Sean plus the parachute is \(68.0 \mathrm{kg} .\) If \(U=0\) at ground level, what is the potential energy of Sean and the parachute at the top of the tower?

A spring used in an introductory physics laboratory stores \(10.0 \mathrm{J}\) of elastic potential energy when it is compressed \(0.20 \mathrm{m} .\) Suppose the spring is cut in half. When one of the halves is compressed by \(0.20 \mathrm{m},\) how much potential energy is stored in it? [Hint: Does the half spring have the same \(k\) as the original uncut spring?]

Use this method to find how the speed with which animals of similar shape can run up a hill depends on the size of the animal. Let \(L\) represent some characteristic length, such as the height or diameter of the animal. Assume that the maximum rate at which the animal can do work is proportional to the animal's surface area: \(P_{\max } \propto L^{2} .\) Set the maximum power output equal to the rate of increase of gravitational potential energy and determine how the speed \(v\) depends on \(L\).
Jennifer lifts a 2.5 -kg carton of cat litter from the floor to a height of \(0.75 \mathrm{m} .\) (a) How much total work is done on the carton during this operation? Jennifer then pours \(1.2 \mathrm{kg}\) of the litter into the cat's litter box on the floor. (b) How much work is done by gravity on the $1.2 \mathrm{kg}$ of litter as it falls into the litter box?
See all solutions

Recommended explanations on Physics Textbooks

Further Mechanics and Thermal Physics

Read Explanation

Electromagnetism

Read Explanation

Circular Motion and Gravitation

Read Explanation

Particle Model of Matter

Read Explanation

Geometrical and Physical Optics

Read Explanation

Astrophysics

Read Explanation
View all explanations

What do you think about this solution?

We value your feedback to improve our textbook solutions.

Study anywhere. Anytime. Across all devices.