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Very interesting approach!

When Paul presses a spring then work done by Paul is positive and work performed by spring is negative.

As per scalar product we have to use cos@

If @ is acute then cos @ is +ve and if @ is obtuse then it becomes -ve

As force applied and displacement are in the same direction as in the case of Paul's attempt then work becomes positive

But in case of spring's opposing force the displacement is in opposite direction and so work is negative

Q: How can you have both positive and negative work at the same time?

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at equilibrium

Positive time negative = Negative.

It can be positive or negative, or even both - at different stages.For example, the rate of change of the balance in my bank account is positive at the end of the month - when my pay goes in - but it is negative for most of the rest of the time while I am spending it!

it is both but at the time it sounded good but in the long run ot was bad

Yes, any time you multiply a negative by a negative, it automatically becomes a positive.

Related questions

Yes, but not at the same time.

It is possible to have inconclusive test results, but not to test both positive and negative at the same time.

at equilibrium

A hybrid comment.

Positive time negative = Negative.

Plastic is a material that has both positive attributes such as its versatility and durability, but also negative impacts on the environment due to its non-biodegradable nature and contribution to pollution and wildlife harm when not disposed of properly.

by touching yhe positive and negative at the same time.

Positive

It can be positive or negative, or even both - at different stages.For example, the rate of change of the balance in my bank account is positive at the end of the month - when my pay goes in - but it is negative for most of the rest of the time while I am spending it!

because both rh positive ann rh negative the anti boby is less

Deceleration. Negative acceleration = Velocity is decreasing by time. Positive acceleration = Velocity is increasing by time. Zero acceleration = Velocity is the same by time.

Yes, acceleration is a vector quantity that involves both magnitude and direction. It indicates the rate of change of velocity with respect to time and can be positive or negative, depending on whether it is in the same direction as the velocity (positive) or opposite direction (negative).