FM23 P22 Q2 Motor Raising Block | Feb/March 2023 | Cambridge A Level 9702 Physics

FM23 P22 Q2 Motor Raising Block | Feb/March 2023 | Cambridge A Level 9702 Physics

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8 Video Views·Sep 2, 2024  #9702m23p22 #ASdeformationP2 #Lv3

9702/22/F/M/23: A motor uses a wire to raise a block, as illustrated in Fig. 2.1. The base of the block takes a time of 0.49s to move vertically upwards from level X to level Y at a constant speed of 0.64 m/s. During this time the wire has a strain of 0.0012. The wire is made of metal of Young modulus 2.2 × 10^11Pa and has a uniform cross-section. The block has a weight of 1.4 × 10^4N. Assume that the weight of the wire is negligible.
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(a) Calculate:
(i) the cross-sectional area A of the wire
(ii) the increase in the gravitational potential energy of the block for the movement of its base from X to Y. #ASenergyP2

(b) The motor has an efficiency of 56%. Calculate the input power to the motor as the base of the block moves from X to Y. #ASpowerP2

(c) The base of the block now has a uniform deceleration of magnitude 1.3m/s2 from level Y until the base of the block stops at level Z. Calculate the tension T in the wire as the base of the block moves from Y to Z

(d) The base of the block is at levels X, Y and Z at times tX, tY and tZ respectively. On Fig. 2.2, sketch a graph to show the variation with time t of the distance d of the base of the block from level X. Numerical values of d and t are not required.
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