DATA You are a Starfleet captain going boldly where no man has gone before. You land on a distant planet and visit an engineering testing lab. In one experiment a short, light rope is attached to the top of a block and a constant upward force F is applied to the free end of the rope. The block has mass m and is initially at rest. As F is varied, the time for the block, to move upward 8.00 m is measured. The values that you collected are given in the table:
F(N) | Time (s) |
250 | 3.3 |
300 | 2.2 |
350 | 1.7 |
400 | 1.5 |
450 | 1.3 |
500 | 1. 2 |
(a) Plot F versus the acceleration a of the block. (b) Use your graph to determine the mass m of the block and the acceleration of gravity g at the surface of the planet. Note that even on that planet, measured values contain some experimental error.
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