A cable car has a mass of 3000kg when fully laden. An electrical motor is used to pull the cable car up from the lower base station (at 366m above sea level) to the top of the mountain, which is 1066m above sea level. The motor can deliver a maximum of 88kW. It takes 7 minutes for the cable car to move from the lower base station to the top of the mountain. (a) If the motor operates at maximum power output, calculate the electrical energy used by the motor to pull the cable car. (b) Calculate the gain in gravitational potential energy of the fully laden car when it moves from the bottom station to the top station. Compare your answer with the value calculated in the previous question and explain the difference.

Principles of Physics: A Calculus-Based Text
5th Edition
ISBN:9781133104261
Author:Raymond A. Serway, John W. Jewett
Publisher:Raymond A. Serway, John W. Jewett
Chapter7: Conservation Of Energy
Section: Chapter Questions
Problem 7OQ: What average power is generated by a 70.0-kg mountain climber who climbs a summit of height 325 m in...
icon
Related questions
Topic Video
Question

A cable car has a mass of 3000kg when fully laden. An electrical motor is used to pull the cable car up from the lower base station (at 366m above sea level) to the top of the mountain, which is 1066m above sea level. The motor can deliver a maximum of 88kW. It takes 7 minutes for the cable car to move from the lower base station to the top of the mountain.

(a) If the motor operates at maximum power output, calculate the electrical energy used by the motor to pull the cable car.
(b) Calculate the gain in gravitational potential energy of the fully laden car when it moves from
the bottom station to the top station. Compare your answer with the value calculated in the
previous question and explain the difference.

Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 4 steps

Blurred answer
Knowledge Booster
Mechanical Work done
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
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
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
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: Foundations…
Physics for Scientists and Engineers: Foundations…
Physics
ISBN:
9781133939146
Author:
Katz, Debora M.
Publisher:
Cengage Learning
University Physics Volume 1
University Physics Volume 1
Physics
ISBN:
9781938168277
Author:
William Moebs, Samuel J. Ling, Jeff Sanny
Publisher:
OpenStax - Rice University
College Physics
College Physics
Physics
ISBN:
9781938168000
Author:
Paul Peter Urone, Roger Hinrichs
Publisher:
OpenStax College