Question

Percentage errors 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 ______.

Options

• 8%

• 2%

• 12%

• 10%

Answer 1

Percentage errors 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 8%.

Explanation:
Kinetic energy \[K=\frac{1}{2}mv^2\]

Percentage error in K = error in m + 2 × error in v
= 2% + 2 × 3% = 2% + 6% = 8%