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A person stands on a scale in an elevator. As the elevator starts, the scale has

ID: 1900151 • Letter: A

Question

A person stands on a scale in an elevator. As the elevator starts, the scale has a constant reading of 598 N. As the elevator later stops, the scale reading is 400 N. Assume the magnitude of the acceleration is the same during starting and stopping. Determine the weight of the person. Determine the person's mass. Determine the magnitude of acceleration of the elevator. Draw a free-body diagram of the person in either the speeding up or the slowing down case. The sum of the forces in your diagram is responsible for the acceleration of the person, m/s2 The mass of a sports car is 1200 kg. The shape of the car is such that the aerodynamic drag coefficient is 0.260 and the frontal area is 2.40 m2. Neglecting all other sources of friction, calculate the initial acceleration of the car, if it has been traveling at 120 km/h and is now shifted into neutral and is allowed to coast. (Take the density of air to be 1.295 kg/m2.) The response you submitted has the wrong sign. m/s2

Explanation / Answer

(c) As the difference in scale's reading is due to the acceleration of the Elevator. 598-400 = 50.86*a Therefore acceleration a = 3.98 m/s^2

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