# The Socratic Problem Solutions

The Socratic Method is to teach by asking questions. In the following sample problems you are guided to the solution by being asked a series of questions. If your answer is the correct one then you proceed; if it is incorrect then you are provided with a comment on your error and given another chance.

The lessons are useless if you just blindly guess and stumble through the various steps. There is ample research to show that the effectiveness of the lesson is obtained by thinking about your answer at each stage.

The problems are taken with permission from the textbook "Physics for Tomorrow's World" by E.L. McFarland and A.J. Hirsch, (Ed. 2007).

## Unit Conversion

## 1-D Kinematics

Problem 2-1(c) Average speed

Problem 2-10 Speed and velocity

Problem 2-43 Free fall

Problem 2-62 Distance and speed

Problem 2-86 Linear Kinematics

Problem 2-95 Linear Kinematics

Problem 2-98 Linear Kinematics

Problem 2-99 v-t graph

Problem 2-101 Linear Kinematics

## Vector Basics

Problem 3-9 Vector sum

Problem 3-25b Vector difference

## 2-D Kinematics

Problem 4-11 Free fall

Problem 4-12 Vector components

Problem 4-16 Projectile

Problem 4-21 Projectile

Problem 4-23 Projectile

Problem 4-54 Projectile

Problem 4-57 Projectile

## Uniform Circular Motion

Problem 4-62 Centripetal acceleration

Problem 4-72 Centripetal acceleration

## Forces and Newton's Laws

Problem 5-51 Force and Kinematics

Problem 5-57 Translational Equil.

Problem 5-62 F, accel., and tension

Problem 5-102 Friction force

Problem 5-108 Force and Kinematics

Problem 6-4 Friction coefficients

Problem 6-7 Friction coefficient

Problem 6-11 Dynamics with friction

Problem 6-47 Dynamics with friction

## Forces and Circular Motion

Problem 6-23 Centripetal force

Problem 6-53 parts (a), (b), and (c) Centripetal force

## Work, Energy and Power

Problem 7-23 Work

Problem 7-35 Work-energy theorem

Problem 7-43 Work, grav. PE

Problem 7-49 (b) Energy cons.

Problem 7-51 Energy cons.

Problem 7-62 Energy cons. with friction

Problem 7-65 Energy cons. with friction

Problem 7-83 Power

## Momentum and Collisions

Problem 8-34 Elastic collision

Problem 8-43 2 dim. collision

Problem 8-61 Cons. of Momentum

Problem 8-75 Inelastic collision

Problem 8-82 Impulse-momentum

Problem 8-86 Inelastic collision

## Universal Gravitation

Problem 9-56 Vector Gravitational Field

Problem 9-76 Geosynchronous orbit

## Electric Charge, Force and Fields

Problem 10-31(a) Vector electric field

Problem 10-38 Addition of Electric fields

Problem 10-40 Vector electric field

Problem 10-49 Electron deflection

## Electric Potential Energy, Electric Potential and Current

Problem 11-33 Electric potential

Problem 11-35 Potential and kinematics

Problem 11-46 Current and potential change

Problem 11-55 Potential and kinematics in thundercloud

Problem 11-71 Grav & Elec Potential

## Electrical Resistance and Circuits

Problem 12-14 Ohm's law

Problem 12-22 Simple circuit

Problem 12-42 Electric power

Problem 12-58 Resistor network

## Waves, Interference, Refraction and Diffraction of Light

Problem 13-32 Standing waves on string

Problem 13-72 Double source interference

Problem 14-10 Double Slit

Problem 14-37 Snell's Law

Problem 14-83 Diffraction