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4. Following data are collected from an Atwood machine experiment with constant net mass and constant net force Table 1.Constant Total Mass m1(kg) | m2(kg) | mT(kg) | Experimental acceleration(m/s²) | Fnet(N) ---|---|---|---|--- 0.025 | 0.075 | 0.1 | 4.7 | 0.030 | 0.070 | 0.1 | 3.8 | 0.035 | 0.065 | 0.1 | 2.8 | 0.040 | 0.060 | 0.1 | 1.9 | 0.045 | 0.055 | 0.1 | 0.88 | Table 2. Constant mass difference m1(kg) | m2(kg) | mT(kg) | Experimental acceleration(m/s²) | Fnet(N) ---|---|---|---|--- 0.100 | 0.120 | 0.220 | 0.85 | 0.120 | 0.140 | 0.260 | 0.72 | 0.140 | 0.160 | 0.300 | 0.62 | 0.160 | 0.180 | 0.340 | 0.55 | 0.180 | 0.200 | 0.380 | 0.49 | A. Complete the empty columns in tables (4 points) B. For table 1 data, plot net force vs experimental acceleration in increasing order acceleration on graph paper or excel. Draw the best fit line and calculate the slope, with units. What physical quantity the slope represent?(8 points) C. For table 2 data, plot experimental acceleration vs 1/total mass in increasing order of 1/total mass. Draw the best fit line and calculate the slope, with units. What physical quantity the slope represent?(8 points)

          4. Following data are collected from an Atwood machine experiment with constant net mass and constant net force

Table 1.Constant Total Mass

m1(kg) | m2(kg) | mT(kg) | Experimental acceleration(m/s²) | Fnet(N)
---|---|---|---|---
0.025 | 0.075 | 0.1 | 4.7 |
0.030 | 0.070 | 0.1 | 3.8 |
0.035 | 0.065 | 0.1 | 2.8 |
0.040 | 0.060 | 0.1 | 1.9 |
0.045 | 0.055 | 0.1 | 0.88 |

Table 2. Constant mass difference

m1(kg) | m2(kg) | mT(kg) | Experimental acceleration(m/s²) | Fnet(N)
---|---|---|---|---
0.100 | 0.120 | 0.220 | 0.85 |
0.120 | 0.140 | 0.260 | 0.72 |
0.140 | 0.160 | 0.300 | 0.62 |
0.160 | 0.180 | 0.340 | 0.55 |
0.180 | 0.200 | 0.380 | 0.49 |

A. Complete the empty columns in tables (4 points)

B. For table 1 data, plot net force vs experimental acceleration in increasing order acceleration on graph paper or excel. Draw the best fit line and calculate the slope, with units. What physical quantity the slope represent?(8 points)

C. For table 2 data, plot experimental acceleration vs 1/total mass in increasing order of 1/total mass. Draw the best fit line and calculate the slope, with units. What physical quantity the slope represent?(8 points)

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4. Following data are collected from an Atwood machine experiment with constant net mass and constant net force

Table 1.Constant Total Mass

m1(kg) | m2(kg) | mT(kg) | Experimental acceleration(m/s²) | Fnet(N)
—|—|—|—|—
0.025 | 0.075 | 0.1 | 4.7 |
0.030 | 0.070 | 0.1 | 3.8 |
0.035 | 0.065 | 0.1 | 2.8 |
0.040 | 0.060 | 0.1 | 1.9 |
0.045 | 0.055 | 0.1 | 0.88 |

Table 2. Constant mass difference

m1(kg) | m2(kg) | mT(kg) | Experimental acceleration(m/s²) | Fnet(N)
—|—|—|—|—
0.100 | 0.120 | 0.220 | 0.85 |
0.120 | 0.140 | 0.260 | 0.72 |
0.140 | 0.160 | 0.300 | 0.62 |
0.160 | 0.180 | 0.340 | 0.55 |
0.180 | 0.200 | 0.380 | 0.49 |

A. Complete the empty columns in tables (4 points)

B. For table 1 data, plot net force vs experimental acceleration in increasing order acceleration on graph paper or excel. Draw the best fit line and calculate the slope, with units. What physical quantity the slope represent?(8 points)

C. For table 2 data, plot experimental acceleration vs 1/total mass in increasing order of 1/total mass. Draw the best fit line and calculate the slope, with units. What physical quantity the slope represent?(8 points)

Added by Christopher B.

University Physics with Modern Physics

Hugh D. Young 14th Edition

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Solved by Expert Christian Horner

12/18/2022

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Following data are collected from an Atwood machine experiment with constant net mass and constant net force. Table 1.Constant Total Mass Table 2. Constant mass difference A. Complete the empty columns in tables (4 points) B. For table 1 data, plot net force vs experimental acceleration in increasing order acceleration on graph paper or excel. Draw the best fit line and calculate the slope, with units. What physical quantity the slope represent?(8 points) C. For table 2 data, plot experimental acceleration vs 1/total mass in increasing order of 1/total mass. Draw the best fit line and calculate the slope, with units. What physical quantity the slope represent?(8 points)

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00:01 So in this problem, there's a lot going on.

00:02 This is all about an at -woods machine, and if you remember an at -woods machine, has a pulley up on the top, and then it will have a string or a rope, and there will be two masses attached to it.

00:15 So one mass on one side, and then another mass on the other side.

00:20 And depending on which mass is heavier, so you'll see in this first part, the second mass is always heavier than the first mass.

00:27 So m2 will be bigger than m1.

00:31 So when we release this system, this mass will go down, this mass will go up, and we can do some measurements to find out what the acceleration is of the system.

00:41 So the first thing that they wanted us to do is complete the empty columns and the tables.

00:47 So in order to find the net force, we have to take the total mass and multiply that times the experimental acceleration.

00:56 So when we're going to find the net force, and we did that for each one of our values, we ended up with .47, .38, and on the down.

01:04 For the second part, we looked at constant mass difference.

01:09 So instead of constant total mass, the difference between the two masses is always .02.

01:16 They then wanted us to go ahead and fill it in the table, so we did that.

01:21 We multiplied the total mass times the experimental acceleration, and you'll notice that these values are all very very close to each other.

01:31 So the average value here is somewhere around 0 .187 or so...

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