You are trying to decide which of two automobiles to buy. the first is american-made, costs $3.0500 x 104, and travels 22.0 miles/gallon of fuel. the second is european-made, costs $4.9100 x 104, and travels 17.0 km/liter of fuel. if fuel costs $2.50/gallon, and other maintenance costs for the two vehicles are identical, how many miles must each vehicle travel in its lifetime for the total costs (puchase cost fuel cost) to be equivalent?

An electrical motor raises a 50kg load at a construct velencity .calculate the power of the motor, if it takes 40sec to raise the load through a height of 24m(take g =9.8n/g)

Aloaded platform of total mass 500 kg is supported by a dashpot and by a set of springs of effective stiffness 72 kn/m. it is observed that when the platform is depressed through a distance x = 12.5 cm below its equilibrium position and then released without any initial velocity; it reaches its equilibrium position in the shortest possible time without overshoot. find the position and velocity of the loaded platform 0.10 sec. after its release. if a further load of 400 kg is added to the platform, find, i) the frequency of damped vibrations, and i) the amplitude of vibration after 2 complete oscillations, given that the initial amplitude is 15 cm.

Derive the correction factor formula for conical nozzle i=-(1+ cosa) and calculate the nozzle angle correction factor for a nozzle whose divergence hal-fangle is 13 (hint: assume that all the mass flow originates at the apex of the cone.