1998 Free Response

# 1998 Free Response - 1998 139 (15 points) Two small blocks,...

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(15 points) Two small blocks, each of mass m, are connected by a string of constant length 4h and negligible mass. Block A is placed on a smooth tabletop as shown above, and block B hangs over the edge of the table. The tabletop is a distance 2h above the floor. Block B is then released from rest at a distance h above the floor at time t = 0. Express all algebraic answers in terms of h, m, and g. a. Determine the acceleration of block B as it descends. b. Block B strikes the floor and does not bounce. Determine the time t 1 at which block B strikes the floor. c. Describe the motion of block A from time t = 0 to the time when block B strikes the floor. d. Describe the motion of block A from the time block B strikes the floor to the time block A leaves the table. e. Determine the distance between the landing points of the two blocks. (15 points) A wall has a negative charge distribution producing a uniform horizontal electric field. A small plastic ball of mass 0.01 kg, carrying a charge of -80.0 μ C is suspended by an uncharged, nonconducting thread 0.30 m long. The thread is attached to the wall and the ball hangs in equilibrium, as shown above, in the electric and gravita- tional fields. The electric force on the ball has a magnitude of 0.032 N. a. On the diagram below, draw and label the forces acting on the ball. b. Calculate the magnitude of the electric field at the ball's location due to the charged wall, and state its direction relative to the coordinate axes shown. c. Determine the perpendicular distance from the wall to the center of the ball. d. The string is now cut. i. Calculate the magnitude of the resulting acceleration of the ball, and state its direction relative to the coordinate axes shown. ii. Describe the resulting path of the ball. 1998 139 140

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(10 points) Students are designing an experiment to demonstrate the conversion of mechanical energy into thermal energy.
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## This note was uploaded on 01/22/2011 for the course PHY 201 taught by Professor Wei during the Spring '10 term at Sam Houston State University.

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1998 Free Response - 1998 139 (15 points) Two small blocks,...

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