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when we solve vector quantities like finding net acceleration of a particle moving in xy direction. we apply newton 2nd law in x axis and y axis separately to find acceleration in that direction and then apply vector sum. So, can we also apply work energy theorem in similar manner or not?

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    $\begingroup$ Why not just do the calculation with two different accelerations in x and y direction? and calculating the difference in kinetic energy after a time t $\endgroup$
    – trula
    Commented Aug 9, 2023 at 13:59

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No. Work and energy are scalar quantities that do not have directions. There is no x-component or y-component of potential energy, for example. It's not possible to apply vector-based math to things that aren't vectors. You can't perform a vector sum on scalars.

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