Assuming that the potential energy of the book is due to its height above the table and that there is no loss of energy due to friction, we can use the formula for gravitational potential energy:
Potential energy = mgh
where m is the mass of the object (in kilograms), g is the acceleration due to gravity (approximately 9.81 m/s^2), h is the height of the object above its reference level (in meters).
We know that the mass of the book is 2 kg and its potential energy is 34.3 J. We can substitute these values into the formula and solve for h:
34.3 J = 2 kg x 9.81 m/s^2 x h
h = 34.3 J / (2 kg x 9.81 m/s^2)
h = 1.75 meters
Therefore, the height of the table is approximately 1.75 meters.