The following questions have been taken from the text bank for Giancoli, D. C. Physics for Scientists and Engineers with Modern Physics (4th ed.) Pearson. Ignore air resistance when answering the questions below. State all final answers in SI units to the correct number of significant figures. Draw a diagram for every question and include coordinate axes.

Question 1 A 55.0-kg box rests on a horizontal surface. The coefficient of static friction between the box and the surface is 0.300. What is the magnitude of the horizontal force that must be applied to the box for it to start sliding along the surface?

Question 2 A box is sliding down an incline tilted at an angle 14.0 above horizontal. The box had an initial speed of 1.70 m/s. The coefficient of kinetic friction between the box and the incline is 0.380. How far does the box slide down the incline before coming to rest?

Question 3 How much energy is needed to change the speed of a 1600 kg car from 15.0 m/s to 40.0 m/s?

Question 4 A car on a roller coaster starts at zero speed at an elevation above the ground of 26 m. It coasts down a slope, and then climbs a hill. The top of the hill is at an elevation of 16 m. What is the speed of the car at the top of the hill? Neglect any frictional effects.