: If force f = (3x +y^2j)n is acting on a body and body moves from (1m, 2m, 1m) to (3m, 3m, 8m), then find the work done due to the force.
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Answer:
F
=2x
i
^
+2
j
^
+3z
2
k
^
⇒
F
x
=2x
F
y
=2
F
2
=3z
2
Work done, W=∫
F
.
dr
⇒W=∫
F
.
dr
=∫
1
3
2x.dx+∫
2
6
2y.dy+∫
3
1
3z
2
.dx
=[x
2
]
1
3
+[y
2
]
2
6
+[z
3
]
3
1
=8+32−26
=14J.
Explanation:
answer is 14J.
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