Question

An object is displaced from point A(2m,3m,4m) to a point B (1m,2m,3m) under a constant force. ˆF=(2ˆi+3ˆj+4ˆk). Find the work done by the force

Answer 1

Displacement:

B(1m,2m,3m)-A(2m,3m,4m)=

(1m-2m),(2m-3m),(3m-4m)=

√-1²+-1²+-1²=

√1+1+1

√3 m

Work done=F×d

(2i+3j+4k)×√3 m

=2√3+3√3+4√3

=3.464+5.196+6.928

=15.59 Nm