Midterm Quiz—PHYS 203-1R
Name______________________________
1) (5 pts) What is the standard error in the following set of numbers:
8
9
12
7
).
2) (5 pts)The area of a rectangular piece of board is given by the length times the width ( = × Given the following values for the length and width, what is the uncertainty for the area of the board?
± = 12 ± 2 ± = 15 ± 3 v^2
2) (15 pts) The following data was taken for an
object being shot upwards with different speeds,
v; the object went up to the heights h. The
relationship between the two quantities is as
follows:
1
= ℎ
2
The variable m represents the mass.
Plot the data and interpret it to determine the
value for a, the acceleration of the object.
v (m/s)
10
20
30
40
h (m)
5
25
40
83
1800
1600
1400
1200
1000
800
600
400
200
0
-200 0
y = 19.631x - 0.7135
20
40
60
x
80
100
4) (10 pts) Below is the graph shows the period squared versus length of a pendulum.
The equation of the line is:
T2 = (4π2/g) L0 + (4π2/g) R
where g is the acceleration due to gravity.
From the graph, find the slope and y-intercept. Use this information and the equation of the line to
calculate g and R.
3
2.5
T^2 (s^2)
2
1.5
1
0.5
0
0
0.1
0.2
0.3
Lo (m)
0.4
0.5
0.6
5) (5 pts) Sketch the velocity versus time graph for a bounce pass, a ball that is passed from one person
to another but bounces once at the midpoint between them.
6) (10 pts) Using trigonometry, calculate the sum of these two vectors.
= 30 0∘
= 10 30∘
7) (10 pts) With the graphical method on a separate sheet of paper, show the magnitude and direction
of the sum of the two vectors in the previous problem. Calculate the percent difference between the
magnitude found here (the observed) and that calculated in the previous problem (the actual).
Please label the scale you use to draw the vectors; use a scale so the vectors occupy >2/3 of the sheet of
paper. Please have your paper be in landscape mode for drawing the vectors.
% difference for magnitude=_____________%
% difference for direction=_____________%
8) (5 pts) Sketch how the x- and y-components of the velocity change with time for an object launched
at a certain angle from the horizontal, as in this figure.
9) (10 pts) A ball is launched from a spring-loaded gun as in this figure. The y-displacement is 2 meters.
The x-displacement is 3 meters.
What time passes before the ball strikes the ground? ______________
What is the initial velocity of the ball? ______________
At what height from the floor would you place a target placed 1 meter from the table? ______________
Equations
%&' − ' &
! "!!#! = $
( − 1)
! +,!-, "!!#! =
".
∗ 100%
'
For Projectile Motion:
Horizontal motion
Vertical Motion
v x = vo, x
v y = vo, y + a y t
x = vo, x t
y = y o + vo, y t +
1
ayt 2
2