AP Physics 1 › Forces
An astronaut is in orbit around the earth. The feeling of weightlessness that he experiences is due to the absence of which force?
Normal force
Gravitational force
Frictional force
Buoyant force
The correct answer is normal force. Normal force will occur when the astronaut is standing on a surface, which will push back on him. Gravity is present since the astronaut is in orbit (gravity provides the centripetal force). The feeling of weightlessness he experiences is due to the absence of a surface to push back on him/her.
Nicola is attempting to create a single tiered mobile as shown. She has a wooden dowel (,
), and two distinct bird ornaments (
,
) which she wishes to attach on either end of the dowel.
If Nicola places ornament ,
to the left of the dowel's midpoint, and ornament
,
to the right of the dowel's midpoint, where should she attach the mobile string in order for it to balance?
Note: figure not drawn to scale.
from the left end of the dowel
from the right end of the dowel
from the right end of the dowel
from the left end of the dowel
Let's use the midpoint as our point of reference. With that said, is
from the center, and
is
from the center. However, each of these are on different sides of the midpoint. When we set up our center of gravity equation, we must determine a (+) and (-) side in order to denote under which side our mobile string will fall. It may be helpful to look at the mobile as a number line, with the left being negative, and the right side positive, but you can really use which ever is more comfortable.
Our main equation is this:
Where is our weight in newtons and
is our distance in meters. Typically, we would want to convert everything to SI units, so let's go ahead and do that (ex:
)
Now let's plug in our numbers, remember about our negative/positive sides!
This should give us
Now, because this number is negative, we know it's to the left of our midpoint (if you chose to set up your -/+ sides opposite of how we did it, your answer will be positive). Regardless of the outcome, this measurement is meant to be taken from object A to the midpoint. Well, do any of our answers have either (+) or (-) ? No. But if we read them carefully, we can determine that the answer is
from the left of the dowel by using simple subtraction.
One side is
Think about it logically too (use your pencil). The heavier end of a pencil usually has a bulky eraser on it (just like the bulkier object on the left). Try holding the pencil at the tip's end, and then gradually try balancing it in the same manner as you move closer to the eraser.
ALSO NOTE: the question states the weight of the dowel as well. But look we didn't even need it. Sometimes the AP exam will give you some aspects in the question to distract you.
Consider the following system:
If the mass is and
, what is the tension,
? Assume no frictional forces.
Since there is no friction between the mass and slope, there are only two relevant forces acting on the mass: gravity and tension. Furthermore, since the block is not in motion, we know that these forces are equal to each other. Therefore:
Substituting in an expression for the force of gravity, we get:
We know all of these values, allowing us to solve for the tension:
Consider the following system:
If the mass is and
, what is the tension,
? Assume no frictional forces.
Since there is no friction between the mass and slope, there are only two relevant forces acting on the mass: gravity and tension. Furthermore, since the block is not in motion, we know that these forces are equal to each other. Therefore:
Substituting in an expression for the force of gravity, we get:
We know all of these values, allowing us to solve for the tension:
A man pulls a box up a
incline to rest at a height of
. He exerts a total of
of work. What is the coefficient of friction on the incline?
We must know the mass of the box to solve
Work is equal to the change in energy of the system. We are given the weight of the box and the vertical displacement, which will allow us to calculate the change in potential energy. This will be the total work required to move the box against gravity.
The remaining work that the man exerts must have been used to counter the force of friction acting against his motion.
Now we know the work performed by friction. Using this value, we can work to solve for the force of friction and the coefficient of friction. First, we will need to use a second formula for work:
In this case, the distance will be the distance traveled along the surface of the incline. We can solve for this distance using trigonometry.
We know the work done by friction and the distance traveled along the incline, allowing us to solve for the force of friction.
Finally, use the formula for frictional force to solve for the coefficient of friction. Keep in mind that the force on the box due to gravity will be equal to .
Plug in our final values and solve for the coefficient of friction.
Consider the following system:
If the mass is and
, what is the tension,
? Assume no frictional forces.
Since there is no friction between the mass and slope, there are only two relevant forces acting on the mass: gravity and tension. Furthermore, since the block is not in motion, we know that these forces are equal to each other. Therefore:
Substituting in an expression for the force of gravity, we get:
We know all of these values, allowing us to solve for the tension:
Two asteroids in space are in close proximity to each other. Each has a mass of . If they are
apart, what is the gravitational force between them?
To solve this problem, use Newton's law of universal gravitation:
We are given the constant, as well as the asteroid masses and distance (radius). Using these values we can solve for the force.
Mass of Mars:
Universal gravitation constant:
Radius of Mars:
A buggy on the surface of Mars locks up it's break and slides on Martian ice. If the buggy was traveling at and took
to stop. Determine the coefficient of friction between Martian ice and the tires.
None of these
The normal force will be equal to the magnitude of the force of gravity pushing the buggy into the ground.
Using definition of frictional force and work equation:
Combining equations:
Canceling out the mass of the buggy and plugging in values:
Solving for
Suppose that a student pushes his physics textbook across the table with his hand. In doing so, what type of force is acting on the book?
Electromagnetic force
Gravitational force
Strong force
Weak force
If a person were to use their hand to push a book across the table, the type of force that their hand is applying to the book is classified as an electromagnetic force. Even though this may not seem intuitive, the reason is that the electrostatic repulsion of the atoms in the person's hand repel the atoms in the book. Due to this electrostatic repulsion between the atoms in the person's hand and the atoms in the book, the force is electromagnetic.
Gravitational forces occur due to gravity, that is, from an attraction between any two objects with mass. The strong and weak forces are both nuclear forces that act only across very, very short distances. Generally, these forces are only significant at the sub-atomic level in the atom's nucleus, and thus do not have a role at greater distances (such as between the person's hand and the book).
Mass of Mars:
Universal gravitation constant:
Radius of Mars:
A buggy on the surface of Mars locks up it's break and slides on Martian ice. If the buggy was traveling at and took
to stop. Determine the coefficient of friction between Martian ice and the tires.
None of these
The normal force will be equal to the magnitude of the force of gravity pushing the buggy into the ground.
Using definition of frictional force and work equation:
Combining equations:
Canceling out the mass of the buggy and plugging in values:
Solving for