Analyze an inclined plane problem that requires the use of a kinematic equations.
A stationary car is positioned at the top of a sloped driveway that makes a 10.0° angle with the horizontal. In a missed opportunity to audition for the Destroyed in Seconds show, the brake of the car is released and the car begins accelerating down the driveway.
Calculate the acceleration of the car.
Acceleration
m/s/s
Calculate the time it takes the car to roll 7.83 m along the driveway to the street.
Time
s
A tow rope is used to move a 63.3-kg sled up a ski hill that is inclined at 17.4° above the horizontal. The tension in the toe rope is held constant at 277 N. The rope is aligned parallel to the ski hill. Neglect friction. How fast is the sled moving after being towed 12.4 m along the diagonal of the hill.
Final Speed
m/s
A 66.6-kg skiier heads down a frictionless slope from rest on an incline of 36.7-degrees. If the hill is 46.7 meters high on the vertical, what is the skiier's final velocity at the bottom? Ignore air resistance.
Final Velocity