Scenario: You've got chosen to become the beta tester for one futuristic disney world roller coaster. The ride is just a single-person thrill ride with a 25.0 meter drop and a plunger/piston system that stops the ride. A 250 kg water cylinder is attached to the plunger/piston. The cart weighs 75.0 kg and begins at the top of the circuit at a standstill. You must combine your weight to the cart's overall weight to get the whole mass of the cart during the ride. Friction in the wheels and axles produces 2750 J of thermal and sound energy combined when the cart passes along the track, according to research. The device's plunger/piston at the bottom is created to stop the cart at a max acceleration of 5.00 g's (49.0 m/s2). #1: At the peak of the ride, the cart with you inside starts from a stop. Calculate the cart's gravitational potential energy with you as the sole occupant at the top of the ride. #2: Gravitational potential energy is turned into kinetic energy, thermal energy, and sound energy as the cart passes down the track. Calculate the cart's kinetic energy at the bottom of the cart. #3: To bring the ride to an end, the cart comes into contact with the plunger/piston mechanism, which exerts a force on it. The piston, according to Newton's third law, will exert the same force on the cart. Without losing consciousness, this force cannot surpass 5.00 g's (or 49.0 m/s2). Calculate the magnitude of this force using Newton's 2nd law. Determine the maximum force the plunger/piston system can apply on the cart.
Scenario:
You've got chosen to become the beta tester for one futuristic disney world roller coaster. The ride is just a single-person thrill ride with a 25.0 meter drop and a plunger/piston system that stops the ride. A 250 kg water cylinder is attached to the plunger/piston. The cart weighs 75.0 kg and begins at the top of the circuit at a standstill. You must combine your weight to the cart's overall weight to get the whole mass of the cart during the ride. Friction in the wheels and axles produces 2750 J of thermal and sound energy combined when the cart passes along the track, according to research. The device's plunger/piston at the bottom is created to stop the cart at a max acceleration of 5.00 g's (49.0 m/s2).
#1: At the peak of the ride, the cart with you inside starts from a stop.
Calculate the cart's gravitational potential energy with you as the sole occupant at the top of the ride.
#2: Gravitational potential energy is turned into kinetic energy, thermal energy, and sound energy as the cart passes down the track.
Calculate the cart's kinetic energy at the bottom of the cart.
#3: To bring the ride to an end, the cart comes into contact with the plunger/piston mechanism, which exerts a force on it. The piston, according to
Determine the maximum force the plunger/piston system can apply on the cart.
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