Question

For a physics lab experiment, four classmates run up the stairs from the basement to the top floor of their physics buildinga vertical distance of $16.0 \mathrm{~m}$. The classmates and their masses are: Tatiana, $50.2 \mathrm{~kg}$; Bill, $68.2 \mathrm{~kg}$; Ricardo, $81.8 \mathrm{~kg}$; and Melanie, $59.1 \mathrm{~kg}$. The time it takes each of them is shown in Fig. P6.92. (a) Considering only the work done against gravity, which person had the largest average power output? The smallest? (b) Chang is very fit and has mass $62.3 \mathrm{~kg} .$ If his average power output is $700 \mathrm{~W}$, how many seconds does it take him to run up the stairs?

Name: Problem 92, Chapter 6: University Physics with Modern Physics In SI Units
Uploaded: 2023-03-26T08:51:10-08:00
Duration: 1 min 25 s
Channel: Dominador Tan

   For a physics lab experiment, four classmates run up the stairs from the basement to the top floor of their physics buildinga vertical distance of $16.0 \mathrm{~m}$. The classmates and their masses are:
Tatiana, $50.2 \mathrm{~kg}$; Bill, $68.2 \mathrm{~kg}$; Ricardo, $81.8 \mathrm{~kg}$; and Melanie, $59.1 \mathrm{~kg}$. The time it takes each of them is shown in Fig. P6.92. (a) Considering only the work done against gravity, which person had the largest average power output? The smallest?
(b) Chang is very fit and has mass $62.3 \mathrm{~kg} .$ If his average power output is $700 \mathrm{~W}$, how many seconds does it take him to run up the stairs?

University Physics with Modern Physics In SI Units

Hugh D Young; Roger… 15th Edition

Chapter 6, Problem 92

Instant Answer

Solved by Expert Dominador Tan

03/26/2023

Step 1

The power output can be calculated using the formula: \[ P = \frac{mgh}{t} \] where: - $ P $ is the power output, - $ m $ is the mass of the person, - $ g $ is the acceleration due to gravity (approximately $ 9.8 \, m/s^2 $), - $ h $ is the height of Show more…

Show all steps

Thanks for your feedback!

For a physics lab experiment, four classmates run up the stairs from the basement to the top floor of their physics buildinga vertical distance of $16.0 \mathrm{~m}$. The classmates and their masses are: Tatiana, $50.2 \mathrm{~kg}$; Bill, $68.2 \mathrm{~kg}$; Ricardo, $81.8 \mathrm{~kg}$; and Melanie, $59.1 \mathrm{~kg}$. The time it takes each of them is shown in Fig. P6.92. (a) Considering only the work done against gravity, which person had the largest average power output? The smallest? (b) Chang is very fit and has mass $62.3 \mathrm{~kg} .$ If his average power output is $700 \mathrm{~W}$, how many seconds does it take him to run up the stairs?

Play audio

Feedback

Dominador Tan and 84 other subject Physics 101 Mechanics educators are ready to help you.

Ask a new question

Labs

Want to see this concept in action?

NEW

Explore this concept interactively to see how it behaves as you change inputs.

View Labs

Key Concepts

Average Power

Average power is the rate at which work is done or energy is transferred over time. It is calculated by dividing the work done by the time taken to do that work. In the context of a lift against gravity, it can be computed using the formula Power = (mgh)/t, where mgh represents the work done against the gravitational force.

Gravitational Potential Energy

This concept refers to the energy an object possesses due to its position in a gravitational field. When an object is raised to a height, its gravitational potential energy increases according to the formula PE = mgh, where m is the mass, g is the gravitational acceleration, and h is the height. This is the energy that must be expended to lift the object to that height.

Please give Ace some feedback