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D Question 1 2 pts If the entire length of the picket fence is 25 cm, how much t

ID: 3280701 • Letter: D

Question

D Question 1 2 pts If the entire length of the picket fence is 25 cm, how much time would it take to fall through the photogate, if its leading edge enters at 0.0 m/s D Question 2 1 pts Would the measured value of 'g' be different if the picket fence is dropped from different heights above the photogate Gignoring air resistance)? O No answer text provided O No answer text provided D Question 3 2 pts Would the value of ' change if the picket fence is dropped with an initial downward velocity lienoring air resistancel? Depends on the speed Yes O Fio answer text provided 2 pts D Question 4 Would the measured value of velocity be different if the picket fence is tilted instead of being vertical

Explanation / Answer

1. given length of picket fence, l = 25 cm

leading edge of the picket falls through the photogate at v = 0 m/s

so time taken to fall through photogate = t

then l = vt + 0.5gt^2

0.25 = 0.5*9.81*t^2

t = 0.2257 s

2. if the picket fence is dropped from height h above the photogate

then initial velocity of the leading edge of the picket as it moves thourhg the photogatge = v

2*g*h = v^2

v = sqroot(2gh)

time taken to cross photogate = t

l = vt + 0.5gt^2

l = sqroot(2gh)*t + 0.5gt^2

again, plotting l vs t^2 will give the smae value of acceleration due to gravity

so answer D. No

3. if h is not known in the previous problem, it can be coinsiderred as the piclket fence is having an initial unknown velocity

even then graph of l vs t^2 gives slopw 0.5g which is indepoendent of initial speed, andd hence value of g obtained still remains the same

answer D. No

4. if the picket fence is tilted, and the tilt is not known, then the measured velocity will change as component of l should be used for exact calculations and not just the length of the picket fence