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The percentage error in the measurement of mass and speed are 2% and 3% respectively . The error in the estimate of kinetic energy obtained by measuring mass and speed will be a) 12% b) 10% c) 8% d) 2%?
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Calculation of Error in Kinetic Energy Measurement
Formula for Kinetic Energy
The kinetic energy (K) of an object is given by the formula:
K = 1/2 mv^2
where m is the mass of the object and v is its speed.
Formula for Percentage Error
The percentage error in a measurement is given by the formula:
% error = (error / measurement) x 100
Calculation of Error in Mass Measurement
Given that the percentage error in mass measurement is 2%, we can calculate the error in mass measurement as follows:
% error in mass = 2%
Therefore, if the measured mass is m, the error in mass measurement is:
error in mass = (2/100) x m = 0.02m
Calculation of Error in Speed Measurement
Given that the percentage error in speed measurement is 3%, we can calculate the error in speed measurement as follows:
% error in speed = 3%
Therefore, if the measured speed is v, the error in speed measurement is:
error in speed = (3/100) x v = 0.03v
Calculation of Error in Kinetic Energy Measurement
Using the formula for kinetic energy and the errors in mass and speed measurements, we can calculate the error in the estimate of kinetic energy as follows:
K = 1/2 mv^2
% error in K = % error in m + 2 x % error in v
% error in K = 2% + 2 x 3%
% error in K = 8%
Answer
Therefore, the error in the estimate of kinetic energy obtained by measuring mass and speed will be 8%.
Formula for Kinetic Energy
The kinetic energy (K) of an object is given by the formula:
K = 1/2 mv^2
where m is the mass of the object and v is its speed.
Formula for Percentage Error
The percentage error in a measurement is given by the formula:
% error = (error / measurement) x 100
Calculation of Error in Mass Measurement
Given that the percentage error in mass measurement is 2%, we can calculate the error in mass measurement as follows:
% error in mass = 2%
Therefore, if the measured mass is m, the error in mass measurement is:
error in mass = (2/100) x m = 0.02m
Calculation of Error in Speed Measurement
Given that the percentage error in speed measurement is 3%, we can calculate the error in speed measurement as follows:
% error in speed = 3%
Therefore, if the measured speed is v, the error in speed measurement is:
error in speed = (3/100) x v = 0.03v
Calculation of Error in Kinetic Energy Measurement
Using the formula for kinetic energy and the errors in mass and speed measurements, we can calculate the error in the estimate of kinetic energy as follows:
K = 1/2 mv^2
% error in K = % error in m + 2 x % error in v
% error in K = 2% + 2 x 3%
% error in K = 8%
Answer
Therefore, the error in the estimate of kinetic energy obtained by measuring mass and speed will be 8%.
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The percentage error in the measurement of mass and speed are 2% and 3% respectively . The error in the estimate of kinetic energy obtained by measuring mass and speed will be a) 12% b) 10% c) 8% d) 2%?
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The percentage error in the measurement of mass and speed are 2% and 3% respectively . The error in the estimate of kinetic energy obtained by measuring mass and speed will be a) 12% b) 10% c) 8% d) 2%? for NEET 2024 is part of NEET preparation. The Question and answers have been prepared according to the NEET exam syllabus. Information about The percentage error in the measurement of mass and speed are 2% and 3% respectively . The error in the estimate of kinetic energy obtained by measuring mass and speed will be a) 12% b) 10% c) 8% d) 2%? covers all topics & solutions for NEET 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for The percentage error in the measurement of mass and speed are 2% and 3% respectively . The error in the estimate of kinetic energy obtained by measuring mass and speed will be a) 12% b) 10% c) 8% d) 2%?.
The percentage error in the measurement of mass and speed are 2% and 3% respectively . The error in the estimate of kinetic energy obtained by measuring mass and speed will be a) 12% b) 10% c) 8% d) 2%? for NEET 2024 is part of NEET preparation. The Question and answers have been prepared according to the NEET exam syllabus. Information about The percentage error in the measurement of mass and speed are 2% and 3% respectively . The error in the estimate of kinetic energy obtained by measuring mass and speed will be a) 12% b) 10% c) 8% d) 2%? covers all topics & solutions for NEET 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for The percentage error in the measurement of mass and speed are 2% and 3% respectively . The error in the estimate of kinetic energy obtained by measuring mass and speed will be a) 12% b) 10% c) 8% d) 2%?.
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