Chapter 11: Q3Q (page 292)
Why is it incorrect to think that the more digits you include in your answer, the more accurate it is?
Short Answer
Adding more digits to an answer does not increase its accuracy.
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Chapter 11: Q3Q (page 292)
Why is it incorrect to think that the more digits you include in your answer, the more accurate it is?
Adding more digits to an answer does not increase its accuracy.
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At t = 0, an 885-g mass at rest on the end of a horizontal spring (k= 184 N/m)is struck by a hammer which gives it an initial speed of 2.26 m/s. Determine (a) the period and frequency of the motion, (b) the amplitude, (c) the maximum acceleration, (d) the total energy, and (e) the kinetic energy when x =0.40A where A is the amplitude.
Multiply \({\bf{3}}{\bf{.079 \times 1}}{{\bf{0}}^{\bf{2}}}{\bf{ m}}\) by \({\bf{0}}{\bf{.068 \times 1}}{{\bf{0}}^{{\bf{ - 1}}}}{\bf{ m}}\),taking into account significant figures.
Multiply \({\bf{3}}{\bf{.079 \times 1}}{{\bf{0}}^{\bf{2}}}{\bf{ m}}\) by \({\bf{0}}{\bf{.068 \times 1}}{{\bf{0}}^{{\bf{ - 1}}}}{\bf{ m}}\),taking into account significant figures.
An energy-absorbing car bumper has a spring constant of \(410\;{\rm{kN/m}}\). Find the maximum compression of the bumper if the car, with mass \(1300\;{\rm{kg}}\), collides with a wall at a speed of \(2.0\;{\rm{m/s}}\) (approximately \(5\;{\rm{mi/h}}\)).
Write the following as full (decimal) numbers without prefixes on the units: (a) 286.6 mm, (b) 85 μV(c) 760 mg, (d) 62.1 ps, (e) 22.5 nm, (f) 2.50 gigavolts.
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