A1900kg car starts from rest and drives around a flat 65-m-diameter circular track. the forward force provided by the car's drive wheels is a constant 1300 n. what is the magnitude of the car's acceleration at t=13s? what is the direction of the car's acceleration at t=13s ? give the direction as an angle from the r-axis. if the car has rubber tires and the track is concrete, at what time does the car begin to slide out of the circle?

Industrial processes often require the damping of vibrations. consider a workbench that uses four large ideal springs in place of traditional legs, with each spring supporting one corner of the workbench and exhibiting a force constant of 47500 n/m. this workbench is used when creating products that involve highly unstable chemicals. according to specifications, the acceleration of the manufacturing equipment must be held to less than 22.3 m/s2 for the manufacturing process to proceed safely. the amplitude of vibrations are expected to remain under 0.622 mm throughout. given that the workbench and maufacturing equipment combine to 6.05 kg, find the maximum acceleration expected of the equipment and workbench. (ignore the mass of the springs.)