4 If force F = (3^i+ 4^j) N is applied on a block, the block displaces from A (1 ,1) to B (2, 3). All quantities are in the Sl unit. Find work done by the force on the block.
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Answer:
F
=3
i
+4
j
+
k
As, W.D=∫
F
.
dx
F
=3
i
+4
j
+
k
dx
=
x
f
−
x
i
=1
i
−2
j
+2
k
∴W.D=(
3i
+4
j
+
k
).(1
i
−2
j
+2
k
)
=3−8+2
W=−3J
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