The centripetal force F of a racecar on a circular track is related to the mass of the car m, the car's velocity v and the radius of the circular track r via the relationship: 1. Fr The mass of the car m, its velocity v and the radius of the track r were measured and found to be: m = (7.4304 +0.0003) x 102 kg v = (9.4569 +0.0002) x 10' m/s r = (1.3034 + 0.0012) x 10? m where the uncertainties associated with the mass of the car m, its velocity v and the radius of the track r are independent and random. Determine a. the best estimate for F, b. the fractional uncertainty in F, the absolute uncertainty in F and the final answer for F. с. d.

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1.
The centripetal force F of a racecar on a circular track is related to
the mass of the car m, the car's velocity v and the radius of the
circular track r via the relationship:
Fr
v =
m
The mass of the car m, its velocity v and the radius of the track r
were measured and found to be:
m = (7.4304 +0.0003) x 102 kg
v = (9.4569 +0.0002) x 10' m/s
r = (1.3034 + 0.0012) x 102 m
where the uncertainties associated with the mass of the car m, its
velocity v and the radius of the track r are independent and
random.
Determine
a.
the best estimate for F,
b.
the fractional uncertainty in F,
the absolute uncertainty in F and
the final answer for F.
с.
d.
Transcribed Image Text:QUESTIONS 1. The centripetal force F of a racecar on a circular track is related to the mass of the car m, the car's velocity v and the radius of the circular track r via the relationship: Fr v = m The mass of the car m, its velocity v and the radius of the track r were measured and found to be: m = (7.4304 +0.0003) x 102 kg v = (9.4569 +0.0002) x 10' m/s r = (1.3034 + 0.0012) x 102 m where the uncertainties associated with the mass of the car m, its velocity v and the radius of the track r are independent and random. Determine a. the best estimate for F, b. the fractional uncertainty in F, the absolute uncertainty in F and the final answer for F. с. d.
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