Q$6.$ A hydraulic system includes a motor, pump, and actuator. The motor efficiency is $85\%,$ the

pump efficiency is $75\%$ and the actuator efficiency is $90\%.$ The available power into the motor is $7\mathrm{.}5$

kW $.$ The actuator is designed to lift loads $2$ m in $10$ seconds.

a$)$ What is the maximum load $($in kg $)$ that this system can support?

b$)$ What is the overall efficiency of this system?

c$)$ How quickly will this system lift a load a distance of $2$ m if the load is $20\%$ of the

maximum load?