To find the percentage uncertainty of momentum, we need to use the principle of conservation of momentum, which states that the momentum before an event is equal to the momentum after the event. The formula for momentum is given by:
Momentum = mass × velocity
Let's assume the mass has a percentage uncertainty of 8% and the velocity has a percentage uncertainty of 1.5%.
Percentage uncertainty in mass = 8% Percentage uncertainty in velocity = 1.5%
To find the combined percentage uncertainty of momentum, we can add the percentage uncertainties of mass and velocity:
Combined percentage uncertainty = Percentage uncertainty in mass + Percentage uncertainty in velocity
Combined percentage uncertainty = 8% + 1.5% Combined percentage uncertainty = 9.5%
Therefore, the percentage uncertainty of momentum is 9.5%.