You and Booboo are riding bumper cars. You and your car have 335 kg of mass and a top speed of 5.3 m/s, Booboo with hers has 180 kg of mass and a top speed of 6.8 m/s. All cars have enough rolling friction to move and enough static friction on the side of their wheels to turn without inhibiting forward motion whatsoever. As soon a collision occurs the cars immediately disengage drive and brakes so the collision occurs as elastically as possible if the ride is functioning properly. A second, malfunctioning maximum speed occurs when the ride malfunctions. The coefficient of kinetic friction between broken, crushed bumper cars and the ground is 0.3. a. It takes 2s to accelerate from rest to your maximum speed. How much force does the electric motor exert on you and your car in Newtons? b. Your car breaks down. You push it until it begins to move, then keep pushing with that force. The coefficient of static friction is 0.825 and kinetic is 0.65. Assume the mass is that of you and the car. What is the acceleration of the car after it begins to move in meters per second squared? c. The two of you are moving perpendicular to each other at the malfunctioning maximum speed when you collide inelastically then slide to a stop over 10 meters at 37 degrees away from Booboo's velocity. What is your malfunctioning maximum speed in m/s?
You and Booboo are riding bumper cars. You and your car have 335 kg of mass and a
top speed of 5.3 m/s, Booboo with hers has 180 kg of mass and a top speed of 6.8 m/s.
All cars have enough rolling friction to move and enough static friction on the side of
their wheels to turn without inhibiting forward motion whatsoever. As soon a collision
occurs the cars immediately disengage drive and brakes so the collision occurs as
elastically as possible if the ride is functioning properly. A second, malfunctioning
maximum speed occurs when the ride malfunctions. The coefficient of kinetic friction
between broken, crushed bumper cars and the ground is 0.3.
a. It takes 2s to accelerate from rest to your maximum speed. How much force
does the electric motor exert on you and your car in Newtons?
b. Your car breaks down. You push it until it begins to move, then keep pushing with
that force. The coefficient of static friction is 0.825 and kinetic is 0.65. Assume
the mass is that of you and the car. What is the acceleration of the car after it
begins to move in meters per second squared?
c. The two of you are moving perpendicular to each other at the malfunctioning
maximum speed when you collide inelastically then slide to a stop over 10
meters at 37 degrees away from Booboo's velocity. What is your malfunctioning
maximum speed in m/s?
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