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Chapter 8: Q 13-30MP (page 467)

Question: A mass mfalls under gravity (force mg) through a liquid whose viscosity is decreasing so that the retarding force is -2mv / ( 1+T ), where v is the speed of m. If the mass starts from rest, find its speed, its acceleration, and how far it has fallen (in terms of g) when t = 1.

Short Answer

Expert verified

The speed, acceleration and distance which the mass fallen is

Step by step solution

01

Given information

02

Force and acceleration

A push or pull that an object produces on other objects is known as force. Because acceleration is the rate at which an object speed changes, an object with mass that is accelerating through space is said to exert a force.

03

 The force of the mass

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04

The integrating factor and solution of differential equation

05

The acceleration of the mass

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Most popular questions from this chapter

By using Laplace transforms, solve the following differential equations subject to the given initial conditions.

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