Test+1+Review+Problems

= Review Problems for Monday's Test  =

__ Unit Conversion __
1) Convert 35 miles per hour to m/s.



2) Convert 2 cm/s to km/year.



3) Convert 4.5 x 10^4 nm/ms to km/ks



__ Dimensional Analysis __
4) If Newton's 2nd Law says that force = mass x acceleration, what are the units for force? (other than the "Newton")



5) The force of gravity according to the Law of Universal Gravitation is: What are the units of the universal gravitation constant G? (you'll need your answer for #4 to know what the units of force are) (m = mass (kg), r = radius (m))



Solving for Variables
6) Solve the full distance formula for acceleration. Use "delta d" in your final equation.



7) Imagine a right triangle with sides A, B, and C (the hypoteneus). Find the formula for the sine of angle between side C and A without using the variable C in your equation.



Distance/Displacement/Angle Activity Problem
If Chip goes 4 meters south, 10 meters east, 2 meters south, up a flight of stairs 5 meters wide and 7 meters high (still going south), 1 meter south, and 3 meters east, what is his total distance, displacement (total, not just in the XY plane), and angle of inclination?



__Basic Velocity Problems__
8) How long does it take for an object traveling 50 m/s to travel 1.76 km?

9) If you want to travel a distance of 1500 km in 1.5 days, how fast do you need to travel on average?



__Basic Acceleration Problems__
10) What is the acceleration of a car that can go from 0 m/s to 50 m/s in 4.25 seconds?

11) An object starts from rest and accelerates at 3.4 m/s^2 until it reaches a velocity of 54.5 m/s. What distance did it cover in that time?



= __Motion Problems with the Quadratic Formula__ =

13) If you toss a softball up at 10m/s from an initial distance of 1 m, how long before it hits the ground? How high does it go?



Follow-up question: At what time is the softball at a height of 3.75 meters? (really think about what the quadratic tells you on this one...)



14) A car with starts from rest and accelerates at 17 m/s^2 at the same time another car 3000 m away is on a crash course at a constant velocity of 40 m/s. When and where does the crash happen?



Follow-up question: Imagine the car above has trouble starting and it takes 4 seconds before it begins to accelerate. When and where does the collision take place then?