Question

the force acting on an object of mass m travelling at velocity V in a circle of radius r is given by F=mv²/r The measurements are recorded as m=(3.5±0.1)kg;v=(20±1)ms-¹and r= (12.5±0.5)m.Find the maximum possible 1.relative error and 2percentage error in the measurement of force

Answer 1

Centripetal acceleration = V^2/r.

Since this equals 4/r^2

v^2 = 4/r

v = 2/ square root of r

Momentum = mv = 2m / square root of r.