Question

Q)

A cart is allowed to roll down an inclined track and its speed a the bottom of the track is measured. The measurement is repeated five times and the results are recorded in the table below. In the questions that follow, do not round your answers unless you are specifically instructed to.

Trial	Velocity (m/s)
1	0.671459
2	0.672207
3	0.669468
4	0.666862
5	0.669818

What is the percent error in the precision of the measured value?

Round your answer to two non-zero digits and include the percent sign (%) as the unit.

Q2)

Suppose the result from the previous experiment were used to calculate the acceleration of the cart as it rolled down the ramp. The equation for this is

a = v²/(2L),

where a is the acceleration of the cart, v is its velocity at the end of the track, and L is the length of the track.

v = 1.86 ± 0.06 m/s

L = 1.488 ± 0.003 m

(a)What is the expected uncertainty in the calculated acceleration? Do not round your answer.

(b)Report the predicted value of the acceleration of the cart and the uncertainty in the format a +/- δa rounded appropriately. Note the spaces before and after the +/-. Include the units preceded by a space.

Answer 1