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course Phy 201
One Ball and Two Ramps
You rolled a ball down two consecutive ramps, taking data sufficient to find the acceleration on each. You also allowed the ball to roll off the last ramp and fall to the floor, measuring the horizontal range of the ball during the projectile phase of its motion.
Insert a copy of your data here, along with any previously submitted work you wish to include:
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Ball Rolled 30cm in 2.5 seconds
60 cm in 3.5 seconds
Horizontal displacement during .4 seconds fall was 12 cm
1st ramp
Vave= 12cm/s
Vf= 24cm/s
V0= 0cm/s
d't= 2.5 sec
a= 9.6 cm/s^2
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Your analysis for the first ramp is good.
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2nd Ramp
V0= 24cm/s
Vave= 17cm/s
Vf= 10cm/sec
a= d'v/d't
-14cm/s/ 3.5 sec= -4 cm/s^2
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The average velocity on the second ramp is not 17 cm/sec. That would be the velocity if the ball had spent 3.5 seconds on the second ramp, and had the length of that ramp been 60 cm.
I think the 3.5 seconds includes the time down the first ramp, as well as the time down the second. You need to use just the length of the second ramp, and the time spent on that ramp.
The initial velocity on the second ramp will be the 24 cm/s you used.
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What were the average velocities on the two ramps, according to your timing results?
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Above
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Based on these average velocities, what were the final velocity and acceleration on the first ramp?
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above
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Based on the final velocity you calculated for the first ramp, what was the initial velocity on the second? Based on this result and the average velocity you calculated for this ramp, what was the final velocity on this ramp? What therefore was the acceleration on this ramp?
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Above
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Based on the projectile behavior of the ball, what was its velocity when it left the last ramp?
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Above
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Are your results consistent?
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Yes
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What would explain any inconsistencies in your results?
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We didn't add in the friction present and our timing could have been off slightly because we were estimating time instead of using a stop watch.
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It appears that the ball traveled 12 cm in the horizontal direction during its .4 second fall.
Its horizontal velocity during the fall is constant. What therefore is this velocity, and how does it compare with the final velocity on the second ramp?
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