In: Physics
3. Work is inputted to isothermally move a 1500 Kg mass from an elevation of zero to 35m and to change it velocity. The initial velocity of the mass is 0.55 m/s. The drag work for this process is described by a force which varies over the distance travel, F = ax + b; where F is in Newtons, the coefficient (a) has units of N/m and the constant (b) has units of N. For this application a = 4.1 N/m and b = 700 N. The force is applied over a distance of 1730 m. There is a heat loss from friction of 1.1(106 ) J during this process. Determine the final velocity of the mass.
3b. The input work for this process is from a combustion engine that has an efficiency of 0.28. The heating value of the fuel is 30.0 MJ/liters and its cost is $0.83/liter. Determine the volume of fuel required and its cost to perform the process described in (3.).
Please solve with sketches and clear equations. Thanks!