標題:
physics - absolute uncertainty
發問:
The speed of a 1kg object is 2.0m/s +- 0.05 m/s, meaning its absolute uncertainty is 0.5m/s. Calculate the percent uncertainty in its speed and, assuming negligible uncertainty in its mass, determine the percent uncertainty in its kinetic energy. Finally, calculate the absolute uncertainty in the kinetic energy in... 顯示更多 The speed of a 1kg object is 2.0m/s +- 0.05 m/s, meaning its absolute uncertainty is 0.5m/s. Calculate the percent uncertainty in its speed and, assuming negligible uncertainty in its mass, determine the percent uncertainty in its kinetic energy. Finally, calculate the absolute uncertainty in the kinetic energy in joules.
Percentage uncertainty in speed = (0.05/2) x 100% = 2.5% Fractional uncertainty in kinetic energy = 2 x 0.025 = 0.05 Kinetic energy = (1/2).(1).(2^2) J = 2 J Uncertainty in kinetic energy = +/- 0.05 x 2 J = +/- 0.1 J
其他解答:
physics - absolute uncertainty
發問:
The speed of a 1kg object is 2.0m/s +- 0.05 m/s, meaning its absolute uncertainty is 0.5m/s. Calculate the percent uncertainty in its speed and, assuming negligible uncertainty in its mass, determine the percent uncertainty in its kinetic energy. Finally, calculate the absolute uncertainty in the kinetic energy in... 顯示更多 The speed of a 1kg object is 2.0m/s +- 0.05 m/s, meaning its absolute uncertainty is 0.5m/s. Calculate the percent uncertainty in its speed and, assuming negligible uncertainty in its mass, determine the percent uncertainty in its kinetic energy. Finally, calculate the absolute uncertainty in the kinetic energy in joules.
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最佳解答:Percentage uncertainty in speed = (0.05/2) x 100% = 2.5% Fractional uncertainty in kinetic energy = 2 x 0.025 = 0.05 Kinetic energy = (1/2).(1).(2^2) J = 2 J Uncertainty in kinetic energy = +/- 0.05 x 2 J = +/- 0.1 J
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