College Physics

11th Edition
Raymond A. Serway + 1 other
ISBN: 9781305952300



College Physics

11th Edition
Raymond A. Serway + 1 other
ISBN: 9781305952300
Textbook Problem

At an outdoor market, a bunch of bananas attached to the bottom of a vertical spring of force constant 16.0 N/m is set into oscillatory motion with an amplitude of 20.0 cm. It is observed that the maximum speed of the bunch of bananas is 40.0 cm/s. What is the weight of the bananas in newtons?

To determine
The weight of the bananas in Newton.


Given info: The spring has a spring constant 16.0Nm-1 . The amplitude is 20 cm. The maximum speed of the bananas is 40cms-1 .


The total energy of the object-spring system at any instance is given by:



E is the total energy of the system

KE is the kinetic energy of the system

PEs is the elastic potential energy of the system

The kinetic energy of the system is given by:



m is the mass of the system

v is the velocity of the system

The elastic potential of the system is given by:



k is the force constant of the spring

x is the displacement of the spring from its equilibrium position

At the equilibrium position the total energy is stores as kinetic energy and at the turning points the total energy is stored as elastic potential energy.

Hence using conservation of energy


  • vmax is the maximum velocity of the bananas
  • A is the amplitude of the oscillation

On re-arranging


Substituting 16.0Nm-1 for k , 20 cm for A , 40cms-1 for vmax to find mass m

Still sussing out bartleby?

Check out a sample textbook solution.

See a sample solution

The Solution to Your Study Problems

Bartleby provides explanations to thousands of textbook problems written by our experts, many with advanced degrees!

Get Started

Additional Science Solutions

Find more solutions based on key concepts

Show solutions add

Form a small group. Each member of the group gives an example of a role model that he or she would like to emul...

Nutrition: Concepts and Controversies - Standalone book (MindTap Course List)

25-20 What constitutes the backbone of DNA?

Introduction to General, Organic and Biochemistry

What energy sources on Earth cannot be thought of as stored sunlight?

Horizons: Exploring the Universe (MindTap Course List)

What gives amino acids their individual properties?

Biology: The Dynamic Science (MindTap Course List)

Why is epinephrine called the fight-or-flight hormone?

Chemistry for Today: General, Organic, and Biochemistry

In the following diagram, designate each daughter cell as diploid (2n) or haploid (n).

Human Heredity: Principles and Issues (MindTap Course List)

What is a codon?

General, Organic, and Biological Chemistry

21. Name each compound:

Chemistry In Focus

The hour hand and the minute hand of Big Ben, the Elizabeth Tower clock in London, are 2.70 m and 4.50 m long a...

Physics for Scientists and Engineers, Technology Update (No access codes included)