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I am presently teaching a general ed course for mostly non-
technical undergraduates (mostly
freshmen). Two-thirds of the students had high school physics.
One half had calculus in high
school. The course is taught as primarily conceptual with examples
and practice problems that use
algebra and trig. I gave a written exam last week covering
Newton's laws, gravity, projectile
motion, work and energy. I give written tests rather than multiple
choice tests so that I can see
student's thought processes at work. Sometimes, as below, I give
them choices and then ask for an
explanation of their answer.
The first question on the exam was the following:
A rock is thrown straight up from the Earth's surface. Which one
of the following statements
concerning the net force acting on the rock at the top of its path
is true?
(a) The net force is instantaneously equal to zero newtons.
(b) The net force is greater than the weight of the rock.
(c) The net force is less than the weight of the rock, but greater
than zero newtons.
(d) The direction of the net force changes from up to down.
(e) The net force is equal to the weight of the rock.
The majority of students answered the question incorrectly. Here
is a sampling of some of the
incorrect explanations:
Student #1: choice a
"The force pushing the rock up equals the force of gravity pulling
it down so at the top its
acceleration is zero and the net force is zero."
Student #2: choice b
"The net force is greater than the weight of the rock because in
order for the force to push the
rock up into the air, the net force has to be greater than the net
weight."
Student #3: choice a
"At the top of the path at that instant both the velocity and
acceleration of the rock is 0. It is
not until the rock starts its fall towards the ground that the net
force downward is greater than
the weight of the rock."
Student #4: choice e
"There is always an equal an opposite force acting on an object.
Therefore the weight of the rock
which is pulling it down is equal to the force upward."
I can understand students' misunderstanding with regard to velocity
being zero and acceleration not
being zero, but I am amazed that students would think that some
force other than gravity was acting
on the object to make it move upward, even after it left the hand
that threw it. It very much
reminded me of Aristotelian thinking. Any comments?