1. If I pull/push an object which weighs 100N on a track at an angle of 45° and the weight moves along the track by 1 metre, I've done work 100J.

If I had pulled the weight along the track I suppose the dislocation of the object would have been 1/cos45° = 1.41 m at the same cost of 100J. Can we conclude that I wasted/burned calories equivalent to 41J? If this is not a valid calculation, what is the right one?

2.

If I pull/push an object on a track at an angle of 45° with a force of 100 N and the weight moves along the track by 1 metre, I've done work 100J.

If I had pulled the weight along the track I suppose the dislocation of the object would have been 1/cos45° = 1.41 m at the same cost of 100J. Can we concluded that I wasted/burned calories equivalent to 41J? If this is not a valid calculation, what is the right one?
Seriously?

45° what?
In what time?

4. Come to think of it, you are probably mixing the usage describing torque vs work done.

If I pull/push an object which weighs 100N on a track at an angle of 45° and the weight moves along the track by 1 metre, I've done work 100J.
You forgot to tell us what the coefficient of sliding friction is between the object and the track. The force on the track due to the weight, while being 100N is not parallel to the displacement. The force in the direction of displacement is 100N u cos (45°) where u is the coefficient of sliding friction.

6. Originally Posted by physicist
If I pull/push an object which weighs 100N on a track at an angle of 45° and the weight moves along the track by 1 metre, I've done work 100J.
You forgot to tell us what the coefficient of sliding friction is between the object and the track. The force on the track due to the weight, while being 100N is not parallel to the displacement. The force in the direction of displacement is 100N u cos (45°) where u is the coefficient of sliding friction.
frictionless

If I pull/push an object which weighs 100N on a track at an angle of 45° and the weight moves along the track by 1 metre, I've done work 100J.

If I had pulled the weight along the track I suppose the dislocation of the object would have been 1/cos45° = 1.41 m at the same cost of 100J. Can we conclude that I wasted/burned calories equivalent to 41J? If this is not a valid calculation, what is the right one?
There is insufficient information here to solve the problem. The force of gravity does no work since it's perpendicular to the direction of motion and therefore the work done by gravity is zero. Since we don't know the force in the direction of motion we cannot tell you how much work is done. We could have exerted a large force for a short time or a short force for a short time. In any case all we have to do is to is get it to move. We don't care what the end speed is. The work done on a particle is the value of the kinetic energy put into the object which is unspecified and we are allowed to be what we want.