You are a Starfleet captain going boldly where no one 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.
You are a Starfleet captain going boldly where no one
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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