Question

The percentage errors in the measurement of mass and speed are 2% and 3%, respectively. How much will be the maximum error in the estimation of KE obtained by measuring mass and speed?

Answer 1

The maximum error in the estimation of kinetic energy (KE) is determined by combining the percentage errors in the measurements of mass and speed. To calculate the maximum error, we use the formula: Maximum Error = (Error in Mass) + (Error in Speed).

Step-by-step explanation:

The maximum error in the estimation of kinetic energy (KE) is determined by combining the percentage errors in the measurements of mass and speed. To calculate the maximum error, we use the formula:

Maximum Error = (Error in Mass) + (Error in Speed)

Given that the percentage error in mass is 2% and the percentage error in speed is 3%, we can calculate the maximum error in the estimation of KE.

Maximum Error = (2% of Mass) + (3% of Speed)

For example, if the mass is measured to be 100 grams and the speed is measured to be 10 m/s, the maximum error in the estimation of KE would be:

Maximum Error = (2% of 100 grams) + (3% of 10 m/s) = 2 grams + 0.3 m/s = 2.3 grams/s

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