Find the find the uncertainty of in weight of body if mass is 10 kg when an uncertainty of 5%
To find the uncertainty in weight, we need to calculate the uncertainty in mass first.
Given:
Mass = 10 kg
Uncertainty in mass = 5%
To find the uncertainty in mass, we can use the formula:
Uncertainty in mass = (Relative uncertainty in mass) × Mass
Using the given values, we can calculate the uncertainty in mass:
Uncertainty in mass = (5/100) × 10 kg
Uncertainty in mass = 0.05 × 10 kg
Uncertainty in mass = 0.5 kg
Now, let's find the uncertainty in weight. The weight of an object can be calculated by multiplying its mass by the acceleration due to gravity (approximated as 9.8 m/s²).
Weight = Mass × Acceleration due to gravity
Weight = 10 kg × 9.8 m/s²
Weight = 98 N
To find the uncertainty in weight, we use the same formula as for mass:
Uncertainty in weight = (Relative uncertainty in mass) × Weight
Uncertainty in weight = (0.5 kg / 10 kg) × 98 N
Uncertainty in weight = 0.05 × 98 N
Uncertainty in weight = 4.9 N
Therefore, the uncertainty in the weight of the body is 4.9 N.