An engineer is designing a new on-ramp for a highway. because of space limitations, the on-ramp can have a radius no larger than 60 meters. the on-ramp is not banked and we assume that the vehicle will travel at a constant speed.

(a) what kind of acceleration will the car experience as it travels through the on-ramp?
(b) if the engineers want to design the ramp so that a car of mass 1000 kg can travel a maximum speed of 20 m/s, what coefficient of friction is required?
(c) explain why banking the track makes it easier to drive through the on-ramp at higher speed.

Mass (kg) force (n) 5 25 10 50 15 75 20 100 a student was trying to find the relationship between mass and force. he placed four different masses on a table and pulled them using a spring scale. the table shows the different masses used in the experiment and the force required to pull each mass. the student concluded that more force was required to pull heavier objects. what comment would you make regarding his conclusion? a) no clear relation can be observed between mass and force from the data. b) there is a direct proportion between the mass and force listed in the table. c) gravity should have been taken into account while performing the experiment. d) there is an inverse proportion between the mass and force listed in the table.

If 2 moles of co_2 at 2l and 500k are expanded reversibly to 20l, more work can be obtained from an adiabatic process than from an isothermal process. is the above statement true or false?

Aprotein molecule in an electrophoresis gel has a negative charge. the exact charge depends on the ph of the solution, but 30 excess electrons is typical. what is the magnitude of the electric force on a protein with this charge in a 1600n/c electric field? write in two significant numbers, and also in newton