PHYS261 Cumulative Lab
You measure the length of the same side of a block five times and find: b=11.0, 11.1,
11.2, 11.2, and 11.3 mm. What is the best estimate for b? - ✔️✔️11.16 mm
Take the average
You measure the length of the same side of a block five times and each measurement
has an uncertainty of 0.10 mm. What is the uncertainty in the best estimate for b? -
✔️✔️0.0447
=0.10/sqrt(5)
Yoy measure the lengths of three sides of a block and find a=12.23 mm, b=14.51 mm,
c=7.45 mm with an error of +-0.030 mm in each measurement. What is the uncertainty
in the volume of the block? - ✔️✔️6.8 mm^3
(DeltaV/V)^2=(deltaa/a)^2+(deltab/b)^2+(deltac/c)^2
$A$5 means? - ✔️✔️Fixed cell
How to plot cartesian coordinates - ✔️✔️Scatter chart
Solver - ✔️✔️Minimizes or maximizes a cell by varying other cells
To use a macro, you may have to first: - ✔️✔️Go to view tab and click on the macro
button
To exit a lab template: - ✔️✔️Enter name and section number and save file using
macro
A block is measured to have mass M=25.3 g and volume V=9.16 cm3 with an
uncertainty of deltaM=0.050 g in the mass and deltaV=0.050 cm3 in the volume. What
is the uncertainty in the density? - ✔️✔️0.016 g/cm3
(Deltap/p)^2=(deltaM/M)^2+(deltaV/V)^2
A block is measured to have a density p=2.76 g/cm3 with an uncertainty of
deltap=0.030 g/cm3. Find chi-squared when the measured density is compared to the
accepted density p=2.70 g/cm3. - ✔️✔️Chi-squared=4
Chi-squared=sum((xi-xtheory)/deltaxi)^2
In this lab, the position of a cart will be measured using a sonic ranger. This measures
the position by: - ✔️✔️Emitting an ultrasonic pulse
, A cart of mass m=0.20 kg rides on an air track that is tilted at an angle 2 degrees from
the horizontal. What is the magnitude of the total force on the cart? - ✔️✔️0.068 N
Mass*9.8*sin(theta)
A cart of mass m=0.25 kg rides on an air track that is tilted 3 degrees from the
horizontal. What is the magnitude of the cart's acceleration? - ✔️✔️0.51 m/s^2
9.8*sin(theta)
A sonic ranger measures positions X=0.10 m, 0.15 m, 0.22 m, 0.28 m at times t=0 s,
0.10 s, 0.20 s, and 0.30 s. Find the magnitude of the average velocity between t=0.10 s
and 0.20 s. - ✔️✔️0.7 m/s
Deltax/deltat
Suppose you measure g=9.7 m/s^2 with an uncertainty of deltag=0.060 m/s^2. Is this
consistent with the accepted value g=9.801 m/s^2? - ✔️✔️Yes
Chi-squared=sum((xi-xtheory)/deltax)^2
Chidist(2.83,1)=0.09
USE EXCEL FOR CHIDIST
Two carts approach each other, collide, and stick together after the collision. This is an
example of what type of collision: - ✔️✔️Perfectly inelastic collision
Two carts collide and bounce off each other. If there are no external forces acting on the
system: - ✔️✔️The total kinetic energy can change during the collision but the total
momentum of the carts must be the same before and after the collision.
A cart with mass 0.30 kg and velocity 0.20 m/s collided on an air-track with a cart with
mass 0.40 kg and velocity -0.10 m/s. What is the final velocity in m/s of the two carts if
they stick together? - ✔️✔️0.029 m/s
m1v1+m2v2=(m1+m2)vf
What provides the vertical force to balance the force of gravity on the pendulum bob? -
✔️✔️Tension in the string
What is the maximum height y that the pendulum can reach in this experiment? -
✔️✔️y0+L
(From surface to the bottom of the pendulum plus the length of the pendulum
Find the theoretical value for the rotation period for a pendulum bob with height y=0.070
m, length L=0.20 m, y0=0.020 m, and extension arm length r0=0.020 m. Use g=9.801
m/s2. - ✔️✔️0.834 s
Period (tau)=2*pi*sqrt((r*sqrt(L^2-(r-r0)^2))/(g*(r-r0)))
r=r0+L*sin(theta)
You measure the length of the same side of a block five times and find: b=11.0, 11.1,
11.2, 11.2, and 11.3 mm. What is the best estimate for b? - ✔️✔️11.16 mm
Take the average
You measure the length of the same side of a block five times and each measurement
has an uncertainty of 0.10 mm. What is the uncertainty in the best estimate for b? -
✔️✔️0.0447
=0.10/sqrt(5)
Yoy measure the lengths of three sides of a block and find a=12.23 mm, b=14.51 mm,
c=7.45 mm with an error of +-0.030 mm in each measurement. What is the uncertainty
in the volume of the block? - ✔️✔️6.8 mm^3
(DeltaV/V)^2=(deltaa/a)^2+(deltab/b)^2+(deltac/c)^2
$A$5 means? - ✔️✔️Fixed cell
How to plot cartesian coordinates - ✔️✔️Scatter chart
Solver - ✔️✔️Minimizes or maximizes a cell by varying other cells
To use a macro, you may have to first: - ✔️✔️Go to view tab and click on the macro
button
To exit a lab template: - ✔️✔️Enter name and section number and save file using
macro
A block is measured to have mass M=25.3 g and volume V=9.16 cm3 with an
uncertainty of deltaM=0.050 g in the mass and deltaV=0.050 cm3 in the volume. What
is the uncertainty in the density? - ✔️✔️0.016 g/cm3
(Deltap/p)^2=(deltaM/M)^2+(deltaV/V)^2
A block is measured to have a density p=2.76 g/cm3 with an uncertainty of
deltap=0.030 g/cm3. Find chi-squared when the measured density is compared to the
accepted density p=2.70 g/cm3. - ✔️✔️Chi-squared=4
Chi-squared=sum((xi-xtheory)/deltaxi)^2
In this lab, the position of a cart will be measured using a sonic ranger. This measures
the position by: - ✔️✔️Emitting an ultrasonic pulse
, A cart of mass m=0.20 kg rides on an air track that is tilted at an angle 2 degrees from
the horizontal. What is the magnitude of the total force on the cart? - ✔️✔️0.068 N
Mass*9.8*sin(theta)
A cart of mass m=0.25 kg rides on an air track that is tilted 3 degrees from the
horizontal. What is the magnitude of the cart's acceleration? - ✔️✔️0.51 m/s^2
9.8*sin(theta)
A sonic ranger measures positions X=0.10 m, 0.15 m, 0.22 m, 0.28 m at times t=0 s,
0.10 s, 0.20 s, and 0.30 s. Find the magnitude of the average velocity between t=0.10 s
and 0.20 s. - ✔️✔️0.7 m/s
Deltax/deltat
Suppose you measure g=9.7 m/s^2 with an uncertainty of deltag=0.060 m/s^2. Is this
consistent with the accepted value g=9.801 m/s^2? - ✔️✔️Yes
Chi-squared=sum((xi-xtheory)/deltax)^2
Chidist(2.83,1)=0.09
USE EXCEL FOR CHIDIST
Two carts approach each other, collide, and stick together after the collision. This is an
example of what type of collision: - ✔️✔️Perfectly inelastic collision
Two carts collide and bounce off each other. If there are no external forces acting on the
system: - ✔️✔️The total kinetic energy can change during the collision but the total
momentum of the carts must be the same before and after the collision.
A cart with mass 0.30 kg and velocity 0.20 m/s collided on an air-track with a cart with
mass 0.40 kg and velocity -0.10 m/s. What is the final velocity in m/s of the two carts if
they stick together? - ✔️✔️0.029 m/s
m1v1+m2v2=(m1+m2)vf
What provides the vertical force to balance the force of gravity on the pendulum bob? -
✔️✔️Tension in the string
What is the maximum height y that the pendulum can reach in this experiment? -
✔️✔️y0+L
(From surface to the bottom of the pendulum plus the length of the pendulum
Find the theoretical value for the rotation period for a pendulum bob with height y=0.070
m, length L=0.20 m, y0=0.020 m, and extension arm length r0=0.020 m. Use g=9.801
m/s2. - ✔️✔️0.834 s
Period (tau)=2*pi*sqrt((r*sqrt(L^2-(r-r0)^2))/(g*(r-r0)))
r=r0+L*sin(theta)
