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The vertical motion of the elevator as it travels up and down is described in th

ID: 1950012 • Letter: T

Question

The vertical motion of the elevator as it travels up and down is described in the statements below. Indicate for each of the situations described the relation between value of the tension in the cable, T, and the weight of the ball, Mg, or whether one Cannot tell. (Assume that there is no air, i.e., neglect the buoyancy effect of the air.)

Answer Choices: T>Mg, T<Mg, T+Mg, Cannot Tell

(a) The elevator is traveling upward and its upward velocity is decreasing as it nears a stop at a higher floor.

(b) The elevator is traveling upward and its upward velocity is increasing as it begins its journey towards a higher floor.

(c) The elevator is traveling downward and its downward velocity is decreasing as it nears a stop at a lower floor.

(d) The elevator is traveling downward at a constant velocity

(e) The elevator is traveling downward and its downnward velocity is increasing

(f) The elevator is stationary and remains at rest.

Explanation / Answer

a) Here acceleration is along downward So net force along downward Ma = Mg-T So here T Mg c) Here acceleration is along upward So net force along upward Ma = T-Mg So here T> Mg d) Here acceleration is zero So net force Ma = 0 So here T= Mg e) Here acceleration is along downward So net force along downward Ma = Mg-T So here T