State whether the following statement is true or false:
The rate of doing work is called power.

Give an example of negative work.

Justify giving proper reasoning whether the work done in the following case is positive or negative: Work done by a man in lifting a bucket out of a well by means of a rope tied to the bucket.

$A$ spring which has been kept compressed by tying its ends together is allowed to be dissolved in an acid. What happens to the potential energy of the spring?

At what speed will a body of mass $1\, kg$ have a kinetic energy of $1\, J$ (in $, m/s$)?

Define power. $A$ boy of mass $45 \, kg$ climbs up $20$ steps in $20 \, s$. If each step is $25 \, cm$ high,calculate the power of the boy used in climbing. (Take $g = 10 \, m s^{-2}$)