This question is about power and efficiency. A bus is traveling at a constant speed of $6\mathrm{.}2$ms$^(-1)$ along a section of road that is inclined at an angle of $6\mathrm{.}0\backslash$deg to the horizontal. $($a$).$ the bus is represented by the black dot. draw a labeled sketch to represent the forces acting on the bus. $($b$).$ the total output power of the engine of the bus is $70$kW and the efficiency of the engine is $35\%.$ calculate the input power to the engine. $($c$).$ the mass of the bus is $8\mathrm{.}5$x$10^3$kg$.$ determine the rate of gravitational potential energy of the bus. $($d$).$ using your answer to $($c$)$ and the data in $($b$),$ estimate of the resistive forces acting on the bus. $($e$)$ the engine of the bus suddenly stops working. $($i$)$ determine the magnitude of the net force opposing the motion of the bus at the instant at which the engine stops. $($ii$)$ discuss with reference to the air resistance, the change in the ent force as the bus slows down.