State whether the following statement is true or false:
Work and energy have different units.

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

$(a)$ The Earth,moving around the Sun in a circular orbit,is acted upon by a force,and hence work must be done on the Earth by the force. State whether the statement is correct or not. Give reasons for your answer.
$(b)$ $A$ coolie holding a heavy box is waiting at the bus stand for $15$ minutes. How much work is done by him?
$(c)$ $A$ man weighing $70 \, kg$ carries a weight of $10 \, kg$ to the top of a tower $100 \, m$ high. Calculate the work done by the man. $(g = 10 \, m s^{-2})$

State whether the following statement is true or false:
In order to get minimum work,the angle between force and displacement should be $90^{\circ}$.

State whether the following statement is true or false:
When a body falls on the ground and stops,the principle of conservation of energy is violated.

State whether the following statement is true or false:
Kilowatt hour $(kWh)$ is the unit of power.