Classical Mechanics (Kibble & Berkshire) · Problem 6.1

Orbits in a central field — T.W.B. Kibble, F.H. Berkshire

Physics — Mechanics · work-energy-theorem

Problem

A particle

P

of mass 4 kg moves under the action of the force

\boldsymbol{F} = 4\boldsymbol{i} + 12t^2\boldsymbol{j}

N, where

t

is the time in seconds. The initial velocity of the particle is

2\boldsymbol{i} + \boldsymbol{j} + 2\boldsymbol{k}

m s

^{-1}

. Find the work done by

\boldsymbol{F}

, and the increase in kinetic energy of

P

, during the time interval

0 \leq t \leq 1

. What principle does this illustrate?