Explain balancing or mechanical equilibrium. Linear velocity of a rotating fan as a whole is generally zero. Is it in mechanical equilibrium? Justify your answer

Figure below shows a block of mass $35 \mathrm{kg}$ resting on a table. The table is so rough that it offers a self adjusting resistive force $10\%$ of the weight of the block for its sliding motion along the table. A $20 \mathrm{kg}$ $\mathrm{wt}$ load is attached to the block and is passed over a pulley to hang freely on the left side. On the right side there is a$2 \mathrm{kg} \mathrm{wt}$ pan attached to the block and hung freely. Weights of $1 \mathrm{kg} \mathrm{wt}$ each, can be added to the pan. Minimum how many and maximum how many such weights can be added into the pan so that the block does not slide along the table?

Power is rate of doing work or the rate at which energy is supplied to the system. A constant force$\mathrm{F}$ is applied to a body of mass $m$. Power delivered by the force at time $\mathrm{t}$ from the start is proportional to $t^k$. The value of $k$ is _____.