For each of the following four problems:
a) Draw a free-body diagram, using the notation we developed in class
b) Using only variables, write Newton’s second law for the x-axis and the y-axis
c) Solve algebraically for the quantities asked for using the information given in the
statement of the problem
d) Calculate a numerical answer by entering the values given into the expressions found
For problem 1, use standard axes (+x to the right and +y upwards). For problem 2, use the x-axis parallel to the incline and the y-axis perpendicular to the incline.
You accelerate a 25.0-kg piece of luggage from zero to 3.11 m/s over a distance of 2.42 m across a horizontal floor. You do this by pulling it with a cable that makes an angle of 30o with respect to the horizontal. Even though the luggage has wheels, the coefficient of kinetic friction is significant at 0.450. How hard did you pull on the piece of luggage in order to accelerate it like you did?
You have slammed on the brakes and your car is skidding (μk = 0.775) to a stop while going down a 14.0o hill. How far does the car slide if your initial speed was 24.5 m/s? How manly times farther would the car slide if its initial speed was 50% greater?
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