Perform the indicated operations to the correct number of significant figures th
ID: 1617218 • Letter: P
Question
Perform the indicated operations to the correct number of significant figures the using rules for significant figures. 37.600 times 3.14 = 6.7 + 8, 975 = 3.765 + 1.2 + 37.21 = 0.0030 + 0.15 = Make a graph Force in N as a function of mass in kg. Calculate the slope of the best fit line. Clearly show the points that you picked to use to calculate the slope, Show your calculation. What is the unit of the slope? What is the equation that you just plotted? What is the physical meaning of the slope? Calculate the percentage error using the standard value of 9.81 m/s^2.Explanation / Answer
1)
a)
Rounding Multiplication
How do you round, when they give you numbers to multiply (or divide)? You would multiply (or divide) the numbers as usual, but then you would round the answer to the same number of significant digits as the least-accurate number.
37.60*3.14 = 118.064
The original (118.064 ) had 6 significant figures
so anwer is : The new format (118) has 3 significant figures
b)
Rounding Addition
How do you round when they give you a bunch of numbers to add? You would add (or subtract) the numbers as usual, but then you would round the answer to the same decimal place as the least-accurate number.
6.7 + 8.975 = 15.675
The new format (16) has 2 significant figures
c)
3.765 + 1.2 + 37.21 = 42.175
ANSWER: The new format (42) has 2 significant figures
d)
0.0030 / 0.15 = 0.02
ANSWER: The new format (0.020) has 2 significant figures (NOTE:0.02 is not a correct becuase it has only 1 significant figures )
2.solution
b) slope = force / mass = acceleration(a)
so units are m/s2
c)
graph with force on the vertical axis and masson the horizontal axis would have slope of the acceleration.
Newton's second law
equation F =m a