AP Free Response Question
2008 B2
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Block A of mass 2.0 kg and block B of mass 8.0 kg are connected as shown above by a spring of spring constant 80 N/m and negligible mass. The system is being pulled to the right across a horizontal frictionless surface by a horizontal force of 4.0 N, as shown, with both blocks experiencing equal constant acceleration.
(a) Calculate the force that the spring exerts on the 2.0 kg block.
(b) Calculate the extension of the spring.
The system is now pulled to the left, as shown below, with both blocks again experiencing equal constant acceleration.
(c) Is the magnitude of the acceleration greater than, less than, or the same as before? Justify your answer.
(d) Is the amount the spring has stretched greater than, less than, or the same as before? Justify your answer.
(e) In a new situation, the blocks and spring are moving together at a constant speed of 0.50 m/s to the left. Block A then hits and sticks to a wall. Calculate the maximum compression of the spring.
Topic Formulas
Description
Published Formula
centripetal acceleration
elastic potential energy
friction
gravitational potential energy
Hooke's Law
impulse
kinetic energy
linear momentum
Newton's 2nd Law
Newton's Law of Universal Gravitation
period of a simple pendulum
period of a spring
potential energy
power
power
work
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