A cyclist is coasting at 18 m/s when she starts on a 450 m long slope that is 40 m high. The cyclist and her bicycle have a combined mass of 75 kg. A steady 15 N drag force due to air resistance acts on her as she coast all the way down to the bottom. a) Draw a useful picture depicting this situation. Clearly label all lengths and relevant vector quantities (velocity, force). b) How much enercy does the cyclist have at the top of the slope? c) How much work does the drag on the cyclist as she goes down the slope? Clearly indicate sign of work. d) What is the cyclist's speed at the bottom of the slope?

Physics for Scientists and Engineers: Foundations and Connections
1st Edition
ISBN:9781133939146
Author:Katz, Debora M.
Publisher:Katz, Debora M.
Chapter3: Vectors
Section: Chapter Questions
Problem 13PQ: In Chapter 5, you will study a very important vector, force. Each case in Figure P3.13 shows an...
icon
Related questions
Question

A cyclist is coasting at 18 m/s when she starts on a 450 m long slope that is 40 m high. The cyclist and her bicycle have a combined mass of 75 kg. A steady 15 N drag force due to air resistance acts on her as she coast all the way down to the bottom.

a) Draw a useful picture depicting this situation. Clearly label all lengths and relevant vector quantities (velocity, force).

b) How much enercy does the cyclist have at the top of the slope?

c) How much work does the drag on the cyclist as she goes down the slope? Clearly indicate sign of work.

d) What is the cyclist's speed at the bottom of the slope?

Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 3 steps with 3 images

Blurred answer
Knowledge Booster
Free body diagram
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, physics and related others by exploring similar questions and additional content below.
Similar questions
  • SEE MORE QUESTIONS
Recommended textbooks for you
Physics for Scientists and Engineers: Foundations…
Physics for Scientists and Engineers: Foundations…
Physics
ISBN:
9781133939146
Author:
Katz, Debora M.
Publisher:
Cengage Learning
Principles of Physics: A Calculus-Based Text
Principles of Physics: A Calculus-Based Text
Physics
ISBN:
9781133104261
Author:
Raymond A. Serway, John W. Jewett
Publisher:
Cengage Learning
Glencoe Physics: Principles and Problems, Student…
Glencoe Physics: Principles and Problems, Student…
Physics
ISBN:
9780078807213
Author:
Paul W. Zitzewitz
Publisher:
Glencoe/McGraw-Hill
Physics for Scientists and Engineers, Technology …
Physics for Scientists and Engineers, Technology …
Physics
ISBN:
9781305116399
Author:
Raymond A. Serway, John W. Jewett
Publisher:
Cengage Learning