What will be the kinetic energy in kWh of an aeroplane which has a mass of 30 tons and is travelling at 1000 km/hr speed? If this plane is made to nose vertically upwards at this speed with power off, calculate the vertical distance through which the plane will move. Take g = 9.80 m/s²

Consider a train consisting of an engine of mass 55 tonne pulling 10 trucks, each of mass 13 tonne, travelling up an incline of 1 in 100 (sine). The rolling resistance to motion is 40 N/tonne, and the train's speed is increased from 20 km/h to 37 km/h over a distance of 600 m.       Calculate:    the total mass of the train:   kg.    the change in height of the train: metres.    the change in potential energy of the train:  MJ.   the starting velocity of the train: m/s.    the final velocity of the train: m/s.    the change in kinetic energy of the train: MJ.    the work done against the rolling resistance: MJ.    the total work done by the engine: MJ.

An engineer designing a light aircraft is trying to make an estimate of the radius of the propeller needed. The design speed of the aircraft is 69m/s into still air and at this speed experience allows the engineer to assume a propeller efficiency of 0.8. Other analysis shows that a thrust of 9296N must be supplied by the propeller to maintain the design speed. Assuming a constant air density of 1.21 kg/m³, determine the radius of the ideal propeller in m to 2 decimal places. Note: Use the propulsive efficiency equation to find the final downstream speed of the air and check that this makes physical sense before calculating the radius.

A cargo truck weighing 2,700 kg accelerates from 3.5 m / s to 6.2 m / s in 12.0 seconds applying a constant force. What change does the momentum experience? b. What is the intensity of the force exerted?

A 100 lb force exerted against a 1000-lb block causes the block to slide with constant velocity. The friction force on the block must be

A car traveling at 26.0 m/s hits a bridge abutment. A passenger in the car, who has a mass of 54.0 kg, moves forward a distance of 63.0 cm while being brought to rest by an inflated air bag. Assuming that the force that stops the passenger is constant, what is the magnitude Fof this force? F

A helicopter with a mass of 10,000 kg takes off straight up at t=0. The thrust of the engine is defined given as a function of time: FT= 95 0.18t- (kN). Where t is in units of seconds. How fast is it rising and what is its elevation at t=4s?

An electric motor that is 98% efficient runs off of a 100 W power supply.  What is the maximum speed the motor could lift a 10 kg mass straight up?  What is the maximum speed the motor could move the 10 kg mass across a frictionless surface?  (This second question can only be answered in terms of the force that the motor applies to the mass.  So, I should have added something like:  Assume the electric motor is attached to the mass by a cable that has a maximum force tension of 3 kN.)

The heat-transfer rate to the surroundings from a person at rest is about 100 W. Suppose the ventilation system fails in an auditorium containing 2000 people. Assume there is no heat transfer through the auditorium walls. A. Determine the increase in internal energy of the air in the auditorium during the first 20 min after the ventilation system fails. Express your result in MJ. B. Considering the auditorium and all of the people as a system, determine the increase in internal energy (MJ) of the system. How do you explain the fact that the temperature of the air increases?

A body weighing 558 kg accelerates from 55 ft/s to 146 ft/s. Calculate the change in kinetic energy of the object.