(Latest spring 23) AP Physics 1 Unit 7 Progress Check A
and B Q&A.
AP Physics 1 Unit 7 Progress Check A
A group of students must conduct an experiment to determine how the location
of an applied force on a classroom door affects the rotational motion of the door.
The rotational inertia of the door about its hinges is known. The initial angular
velocity of the door is zero.
Which of the following lists what measuring devices the students need and the
measurements they should take to collect the necessary data to test the
relationship between a torque exerted on the door and the change in angular
velocity of that object about the hinges of the door? Justify your selection.
A stopwatch to measure the time interval during which the force is applied, a force
probe to measure the applied force on the door, a protractor to measure the angular
displacement of the door, and a meterstick to measure the radial distance from the
door's hinges to the location where the force is applied.
A group of students must conduct an experiment to determine how the location
of an applied force on a classroom door affects the rotational motion of the door.
The rotational inertia of the door about its hinges is known. The initial angular
velocity of the door is zero.
The students must determine how to test the relationship between a torque
exerted on the door and the change in the angular velocity of the door. All
frictional forces are considered to be negligible. How should the experiment be
conducted to test the relationship between the torque exerted on the door and the
change in the door's angular velocity in a way that minimizes experimental
uncertainty?
The students should perform several trials, applying the same force at different
horizontal distances from the hinges.
A group of students must conduct an experiment to determine how the location
of an applied force on a classroom door affects the rotational motion of the door.
The rotational inertia of the door about its hinges is known. The initial angular
velocity of the door is zero.
The students conduct the experiment and gather data about the net torque
exerted on the door and angular acceleration of the door for several trials. They
create a graph of the door's angular acceleration as a function of the net torque
and sketch a best-fit line through the data. How can the students analyze the data
to determine the rotational inertia of the door about its hinges?
Determine the inverse of the slope of the best-fit line.
A point on the edge of a disk rotates around the center of the disk with an initial
angular velocity of 3rad/s clockwise. The graph shows the point's angular
acceleration as a function of time. The positive direction is considered to be
counterclockwise. All frictional forces are considered to be negligible.
, Determine the area bound by the line and the horizontal axis from 0s to 2s , because
this area represents the change in the angular velocity of the point on disk.
A point on the edge of a disk rotates around the center of the disk with an initial
angular velocity of 3rad/s clockwise. The graph shows the point's angular
acceleration as a function of time. The positive direction is considered to be
counterclockwise. All frictional forces are considered to be negligible.
Which of the following graphs qualitatively represents the angular velocity ω of
the point on the disk as a function of time t between 0s to 2s?
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A point on the edge of a disk rotates around the center of the disk with an initial
angular velocity of 3rad/s clockwise. The graph shows the point's angular
acceleration as a function of time. The positive direction is considered to be
counterclockwise. All frictional forces are considered to be negligible.
What is the angular displacement of the point after 10s?
330 radians
A uniform rod is at rest on a horizontal surface. A student may launch a sphere of
clay toward the rod along one of the three paths shown in the figure. Path X and
path Z are directed toward the center of mass of the rod. In each case, the sphere
of clay is launched with the same linear speed and sticks to the rod. In each case,
the time of collision between the sphere of clay and the rod is time t0. A pivot is
fixed to the end of the rod, representing the point at which the rod or clay-rod
system may rotate. Frictional forces are considered to be negligible.
A sphere of clay travels toward the rod along path Z. A student must predict what
will happen to the linear momentum and the angular momentum of the rod-sphere
system as a result of the collision. Which of the following correctly predicts the
change, if any, of these quantities?
linear:decreases; angular: no change
A uniform rod is at rest on a horizontal surface. A student may launch a sphere of
clay toward the rod along one of the three paths shown in the figure. Path X and
path Z are directed toward the center of mass of the rod. In each case, the sphere
of clay is launched with the same linear speed and sticks to the rod. In each case,
the time of collision between the sphere of clay and the rod is time t0. A pivot is
fixed to the end of the rod, representing the point at which the rod or clay-rod
system may rotate. Frictional forces are considered to be negligible.
Consider the case in which the sphere of clay is launched along path Y. The
sphere of clay is launched with a speed v0 and collides with the rod a distance l
away from the pivot. The length of the rod is L. The rotational inertia of the rod
about the joint is IR, and the mass of the sphere of clay is mc. The sphere of clay
is considered to be a point mass. What is the angular speed ωf of the clay-rod
system immediately after the collision?
ωf=mcv0l/ mcl2+IR
and B Q&A.
AP Physics 1 Unit 7 Progress Check A
A group of students must conduct an experiment to determine how the location
of an applied force on a classroom door affects the rotational motion of the door.
The rotational inertia of the door about its hinges is known. The initial angular
velocity of the door is zero.
Which of the following lists what measuring devices the students need and the
measurements they should take to collect the necessary data to test the
relationship between a torque exerted on the door and the change in angular
velocity of that object about the hinges of the door? Justify your selection.
A stopwatch to measure the time interval during which the force is applied, a force
probe to measure the applied force on the door, a protractor to measure the angular
displacement of the door, and a meterstick to measure the radial distance from the
door's hinges to the location where the force is applied.
A group of students must conduct an experiment to determine how the location
of an applied force on a classroom door affects the rotational motion of the door.
The rotational inertia of the door about its hinges is known. The initial angular
velocity of the door is zero.
The students must determine how to test the relationship between a torque
exerted on the door and the change in the angular velocity of the door. All
frictional forces are considered to be negligible. How should the experiment be
conducted to test the relationship between the torque exerted on the door and the
change in the door's angular velocity in a way that minimizes experimental
uncertainty?
The students should perform several trials, applying the same force at different
horizontal distances from the hinges.
A group of students must conduct an experiment to determine how the location
of an applied force on a classroom door affects the rotational motion of the door.
The rotational inertia of the door about its hinges is known. The initial angular
velocity of the door is zero.
The students conduct the experiment and gather data about the net torque
exerted on the door and angular acceleration of the door for several trials. They
create a graph of the door's angular acceleration as a function of the net torque
and sketch a best-fit line through the data. How can the students analyze the data
to determine the rotational inertia of the door about its hinges?
Determine the inverse of the slope of the best-fit line.
A point on the edge of a disk rotates around the center of the disk with an initial
angular velocity of 3rad/s clockwise. The graph shows the point's angular
acceleration as a function of time. The positive direction is considered to be
counterclockwise. All frictional forces are considered to be negligible.
, Determine the area bound by the line and the horizontal axis from 0s to 2s , because
this area represents the change in the angular velocity of the point on disk.
A point on the edge of a disk rotates around the center of the disk with an initial
angular velocity of 3rad/s clockwise. The graph shows the point's angular
acceleration as a function of time. The positive direction is considered to be
counterclockwise. All frictional forces are considered to be negligible.
Which of the following graphs qualitatively represents the angular velocity ω of
the point on the disk as a function of time t between 0s to 2s?
|/
|/
|_____/__
|/
|/
A point on the edge of a disk rotates around the center of the disk with an initial
angular velocity of 3rad/s clockwise. The graph shows the point's angular
acceleration as a function of time. The positive direction is considered to be
counterclockwise. All frictional forces are considered to be negligible.
What is the angular displacement of the point after 10s?
330 radians
A uniform rod is at rest on a horizontal surface. A student may launch a sphere of
clay toward the rod along one of the three paths shown in the figure. Path X and
path Z are directed toward the center of mass of the rod. In each case, the sphere
of clay is launched with the same linear speed and sticks to the rod. In each case,
the time of collision between the sphere of clay and the rod is time t0. A pivot is
fixed to the end of the rod, representing the point at which the rod or clay-rod
system may rotate. Frictional forces are considered to be negligible.
A sphere of clay travels toward the rod along path Z. A student must predict what
will happen to the linear momentum and the angular momentum of the rod-sphere
system as a result of the collision. Which of the following correctly predicts the
change, if any, of these quantities?
linear:decreases; angular: no change
A uniform rod is at rest on a horizontal surface. A student may launch a sphere of
clay toward the rod along one of the three paths shown in the figure. Path X and
path Z are directed toward the center of mass of the rod. In each case, the sphere
of clay is launched with the same linear speed and sticks to the rod. In each case,
the time of collision between the sphere of clay and the rod is time t0. A pivot is
fixed to the end of the rod, representing the point at which the rod or clay-rod
system may rotate. Frictional forces are considered to be negligible.
Consider the case in which the sphere of clay is launched along path Y. The
sphere of clay is launched with a speed v0 and collides with the rod a distance l
away from the pivot. The length of the rod is L. The rotational inertia of the rod
about the joint is IR, and the mass of the sphere of clay is mc. The sphere of clay
is considered to be a point mass. What is the angular speed ωf of the clay-rod
system immediately after the collision?
ωf=mcv0l/ mcl2+IR
