The power utilised when a force of ((2 i +3 j +4 k ) N ) acts on a body for (4 ~s ), producing a displacement of ((3 i +4 j +5 k ) m ), is

Step-by-step solution

Force, ( F =2 i +3 j +4 k ) Displacement, ( s =3 i +4 j +5 k ) ( aligned & Velocity = Displacement Time & v = s t = 1 4 (3 i +4 j +5 k ) aligned ) ( ) Power utilised is given as ( aligned P & = F v & =(2 i +3 j +4 k ) 1 4 (3 i +4 j +5 k ) & =2 3 4 +3 4 4 +4 5 4 & =1.5+3+5=9.5 ~W aligned )