##### Question

# Use the exact values you enter to make later calculations.

A group of students performed the…

A group of students performed the same "Newton's Second Law"

experiment that you did in class. For this lab, assume *g* = 9.81

m/s^{2}. They obtained the following results:

m_{1}(kg) |
t_{1}(s) |
v_{1}(m/s) |
t_{2}(s) |
v_{2}(m/s) |
---|---|---|---|---|

0.050 | 1.2000 | 0.2500 | 1.8108 | 0.3849 |

0.100 | 1.2300 | 0.3240 | 1.6360 | 0.6412 |

0.150 | 1.1500 | 0.3820 | 1.4768 | 0.8120 |

0.200 | 1.1100 | 0.4240 | 1.3935 | 1.0067 |

where *m*_{1} is the value of the hanging mass

(including the mass of the hanger), *v*_{1} is the

average velocity and *t*_{1} is the time at which

*v*_{1} is the instantaneous velocity for the first

photogate, and *v*_{2} is the average velocity and

*t*_{2} is the time at which *v*_{2} is

the instantaneous velocity for the second photogate.

to construct a spreadsheet to do the following. (You will not

submit this spreadsheet. However, the results will be needed later

in this problem.)

above data.

(ii) Compute the acceleration, *a*, for each trial.

(iii) Create a graph of the hanging weight

*m*_{1}*g* vs. the acceleration.

(iv) Use the trendline option to draw the best fit line for the

above data and determine the slope and *y*-intercept from

it.

(v) report your results below.

slope | = |

y-intercept |
= |

(b) Use the information you obtained from your graph to determine

the total mass of the system *M* = *m*_{1} +

*m*_{2}.

*M* =

(c) Using the information you obtained in parts (a) and (b),

predict what the value of the acceleration would be if the value of

the hanging mass were increased to*m*_{1} = 0.50

kg.

*a* =