Log out Go to App
Go to App

Learning Materials

Features

Discover

Chapter 4: Problem 103

Felipe is going for a physical before joining the swim team. He is concerned about his weight, so he carries his scale into the elevator to check his weight while heading to the doctor's office on the 21 st floor of the building. If his scale reads \(750 \mathrm{N}\) while the elevator has an upward acceleration of \(2.0 \mathrm{m} / \mathrm{s}^{2},\) what does the nurse measure his weight to be?

Short Answer

Expert verified
Answer: Felipe's actual weight as measured by the nurse on the 21st floor is approximately 623.07 N.

Step by step solution

01

Determine Felipe's mass in the elevator

In order to find Felipe's mass, we can use the following equation: \(m_{elevator} = \frac{W_{elevator}}{g + a}\) where \(m_{elevator}\) is Felipe's mass in the elevator, \(W_{elevator}\) is his weight as observed in the elevator (750 N), \(g\) is acceleration due to gravity (9.81 m/s²), and \(a\) is the acceleration of the elevator (2.0 m/s²). Now, we can plug the values into the equation: \(m_{elevator} = \frac{750 \mathrm{N}}{9.81 \mathrm{m/s²} + 2.0 \mathrm{m/s²}}\)
02

Calculate Felipe's mass in the elevator

Solve the equation for \(m_{elevator}\): \(m_{elevator} = \frac{750 \mathrm{N}}{11.81 \mathrm{m/s²}} = 63.5 \mathrm{kg}\)
03

Calculate Felipe's actual weight

Now that we have Felipe's mass, we can find his actual weight by multiplying it by the acceleration due to gravity (\(g\)): \(W_{actual} = m_{elevator} \times g\) \(W_{actual} = 63.5 \mathrm{kg} \times 9.81 \mathrm{m/s²}\)
04

Calculate Felipe's measured weight by the nurse

Solve the equation for \(W_{actual}\): \(W_{actual} = 63.5 \mathrm{kg} \times 9.81 \mathrm{m/s²} = 623.07 \mathrm{N}\) So, the nurse measures Felipe's weight to be approximately 623.07 N.

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.

Start your free trial

Over 30 million students worldwide already upgrade their learning with Vaia!

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

A 6.0 -kg block, starting from rest, slides down a frictionless incline of length \(2.0 \mathrm{m} .\) When it arrives at the bottom of the incline, its speed is \(v_{\mathrm{f}} .\) At what distance from the top of the incline is the speed of the block \(0.50 v_{\mathrm{f}} ?\)
While an elevator of mass 832 kg moves downward, the tension in the supporting cable is a constant \(7730 \mathrm{N}\) Between \(t=0\) and \(t=4.00 \mathrm{s},\) the elevator's displacement is \(5.00 \mathrm{m}\) downward. What is the elevator's speed at \(t=4.00 \mathrm{s} ?\)
A bike is hanging from a hook in a garage. Consider the following forces: (a) the force of the Earth pulling down on the bike, (b) the force of the bike pulling up on the Earth, (c) the force of the hook pulling up on the bike, and (d) the force of the hook pulling down on the ceiling. Which two forces are equal and opposite because of Newton's third law? Which two forces are equal and opposite because of Newton's first law?
A skier with a mass of \(63 \mathrm{kg}\) starts from rest and skis down an icy (frictionless) slope that has a length of \(50 \mathrm{m}\) at an angle of \(32^{\circ}\) with respect to the horizontal. At the bottom of the slope, the path levels out and becomes horizontal, the snow becomes less icy, and the skier begins to slow down, coming to rest in a distance of \(140 \mathrm{m}\) along the horizontal path. (a) What is the speed of the skier at the bottom of the slope? (b) What is the coefficient of kinetic friction between the skier and the horizontal surface?
You want to push a \(65-\mathrm{kg}\) box up a \(25^{\circ}\) ramp. The coefficient of kinetic friction between the ramp and the box is \(0.30 .\) With what magnitude force parallel to the ramp should you push on the box so that it moves up the ramp at a constant speed?
See all solutions

Recommended explanations on Physics Textbooks

Turning Points in Physics

Read Explanation

Mechanics and Materials

Read Explanation

Conservation of Energy and Momentum

Read Explanation

Medical Physics

Read Explanation

Rotational Dynamics

Read Explanation

Fields in Physics

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.

Sign-up for free