Question
Question: A force F = -K(y**i** + x**j**), (where K is a +ve constant) acts on a particle moving in xy plane s...
A force F = -K(yi + xj), (where K is a +ve constant) acts on a particle moving in xy plane starting from origin, the particle is taken along the positive x-axis to the point (a, 0) and then parallel to y axis to the point (a, 0). The total work done by force F on the particle is
A
-2Ka2
B
2Ka2
C
-Ka2
D
Ka2
Answer
-Ka2
Explanation
Solution
Work done =
Then W1 =
and W2 =
= - Ka = -Ka2
∴ W = W1 + W2 = - Ka2