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A pet mouse sleeps near the eastern edge of a stationary, horizontal turntable that is supported by a frictionless, vertical axle through its center. The mouse wakes up and starts to walk north on the turntable. a). As it takes its first steps, what is the direction of the mouse's displacement relative to the stationary ground below? (north, south, or no displacement) b). In this process, the spot on the turntable where the mouse had been snoozing undergoes a displacement in what direction relative to the ground below? (north, south, or no displacement) c). In this process, is the mechanical energy of the mouse-turntable system constant? (yes or no) d). Is the momentum of the system constant? (yes or no) e). Is the angular momentum of the system constant? (yes or no)

Respuesta :

Histrionicus

Answer:

a) as the turntable is initially rest, and mouse first step is towards the north direction thus the correct answer would be - north.

b) From the conservation of the momentum law,

The turntable will move or spin in the opposite direction under the mouse so, the correct answer will be - south.

c) In the beginning, there is no kinetic energy in this particular system, but then the mouse uses its stored chemical energy by the help of muscle to create mechanical energy.

thus, the answer is - no, mechanical energy is not conserved.

d) The reactive force is created by the fixed axile in the table, so mouse is able to provide linear momentum from starting to the rest.

thus, the correct answer is - no.

e) there is no friction in the fixed axile in the table so there is no reason for the external torque in the system.

thus, the correct answer is - yes.