Glencoe Physical Science 2012 Student Edition (Glencoe Science) (McGraw-Hill Education)
Glencoe Physical Science 2012 Student Edition (Glencoe Science) (McGraw-Hill Education)
1st Edition
ISBN: 9780078945830
Author: Charles William McLaughlin, Marilyn Thompson, Dinah Zike
Publisher: Glencoe Mcgraw-Hill
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Chapter 3, Problem 15STP
To determine

Whether both balls will reach the same terminal velocity.

Expert Solution & Answer
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Explanation of Solution

Introduction:

The sizes of the both balls are same, but one has mass ten times greater than the other.

The terminal velocity is the velocity of an object at which the drag force is equal to the gravity.

The terminal velocity of an object is given by.

  Vt=2mgρACd

Here,

  • Vt is the terminal velocity.
  • m is the mass.
  • g is the gravitational constant.
  • Cd is the drag coefficient of the medium.
  • Glencoe Physical Science 2012 Student Edition (Glencoe Science) (McGraw-Hill Education), Chapter 3, Problem 15STP is the cross sectional area.

The terminal velocity depends on the mass, cross sectional area, and drag coefficient of the medium. The balls with different masses will have different terminal velocities. So, the ball with greater mass will have the grater terminal velocity.

Conclusion:

The ball with greater mass will have the grater terminal velocity.

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