An automobile of mass m moves against a retarding drag force F, = -kmv, %3D where v is the velocity of the automobile. a) Write down the equation of motion for the automobile, including the force FE supplied by the engine.
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- a car of mass 2.0*10^3 kg is initialy moving at 21 m/s when the brakes are applied and the car is brought to stop in 25m. Assuming the force that the stops the car is constant, find the magnitude of that force that stop the car?Which of the following statements is incorrect? O Forces are vectors O An object in at rest will have no applied force at all on it. O An object accelerating in a certain direction will have a total force in the same direction. O An object at a constant velocity will have no net force on it. sA 1100-kg car pulls a boat on a trailer. (Enter the magnitudes.) (a) What total force resists the motion of the car, boat, and trailer, if the car exerts a 1930-N force on the road and produces an acceleration of 0.530 m/s2? The mass of the boat plus trailer is 600 kg. (b) What is the force in the hitch between the car and the trailer if 80% of the resisting forces are experienced by the boat and trailer? N
- A box is placed in the bed of a pick-up truck or similar flat-bed vehicle. What the maximum acceleration the truck can undergo for which the block does not slide on the flat vehicle bed? The coefficient of static friction is mu, the vehicle mass is massvehicle, and the box mass is mbox. Derive an expression for max vehicle acceleration in terms of mu, gravitational acceleration, mvehicle, and mbox. Note that your derived expression may not contain all of these terms.At last year's Homecoming Pep Rally, Trudy U. Skool (mass 54.5 kg), attempting to generate a little excitement, slid down a 42.0∘ incline from the sports dome to the courtyard below. The coefficient of friction between Trudy's jeans and the incline was 0.650. Determine Trudy's acceleration along the incline and the time it took her to slide the 6.8 m incline from restCommercial airplanes are sometimes pushed out of the passenger loading area by a tractor. (a) An 1800-kg tractor exerts a force of 1.75×104 N backward on the pavement, and the system experiences forces resisting motion that total 2400 N. If the acceleration is 0.150 m/s2, what is the mass of the airplane? (b) Calculate the force exerted by the tractor on the airplane, assuming 2200 N of the friction is experienced by the airplane. (c) Draw two sketches showing the systems of interest used to solve each part, including the free-body diagrams for each.