The figure below shows a bead sliding without friction e along a curved wire in
ID: 3308062 • Letter: T
Question
The figure below shows a bead sliding without friction e along a curved wire in a vertical plane The bead sides starting from rest at position B on the fric- tionless wire. The direction of the gravitational field is in the y direction (toward the bottom of the page). D The acceleration in the x-direction at D is... ero. 31. AO Thue BO False CO Greater than DO Less than EO Eqsal to The acceleration in the y-direction at D·-zero. 32AC) The BO False Greater than DO Less than EOEqual to b The speed at A is... the speed at H DO Less thas EO Equal to of nal 33. AO Te BO Fase CO Greater than b The acceleration at H is zero. 34 AO True BO False CO Greater than the tay -35, AO Trun DO Less than EOEqaal to p The velocity at H equals the velocity at C BO False CO Greater than DO Less than EO Equal to b The speed at H is the speed at C. DO Less than EO Equal to 36. AO True BOFalse CO Greater than Planet-X has a mass of 5.77 x 1024 kg and a radius of What is the Escape Speed i.e. the minimum speed required for a satellite in order to break free permanently from the planet? (in /s) 37. AO 2.58 DO 5.05 GO 9.86 BO 3.23 EO 6.31 HO 1.23 x 10 CO 4.04 FO 7.89 der GNU Geeral PExplanation / Answer
31] The acceleration in the positive x direction is zero at D since no external force was applied in the x direction initially. [option E]
32] Acceleration due to gravity is in the negative y direction but since the bead continues to remain on the track, the net force in y direction must be zero which implies that the acceleration is equal to zero
[option E]
33] A is at a higher gravitational potential than H and so the speed at A (hence the kinetic energy) will be lesser than that at H. [option D]
34] Acceleration at H will be zero in both x and y direction [option A].
35] Since C and H are at the same height, the bead will have same potential energy at those locations implying that the kinetic energy will also be the same. Therefore, the speed at H and C will be equal however, their velocities will be different since velocity at H will be horizontal. [option B]
36] For the reason stated above, the speeds at H and C will be same [option E]
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