5 min read•january 29, 2023
Daniella Garcia-Loos
Daniella Garcia-Loos
In this unit, we'll only be talking about , but look forward to angular momentum in the next unit! Conceptually, its quite hard to describe without using quantities, but essentially, it is a measurement of mass in motion. The most basic equation for is:
p = mv
Momentum Fast (haha) Facts:
It's a vector
Units are
It is NOT the same as kinetic energy
Kinetic energy is a scalar and describes a different relationship
Let's try to derive using momentum!
Now that looks pretty familiar, doesn't it?
Let's take a closer look at one part of this derivation.
This change in momentum actually has a special name, ! (Or as some like to call, )
Or the calculus version:
We tend to use calculus when the force or the mass is variable, like with a rocket!
is a vector because force has a direction, and the units are the same as momentum(N*s).
Here are some key things to know about :
is the product of force and time, represented mathematically as J = F*Δt.
Additionally, AP loves to ask questions about in relation to graphs!
is the area under the curve (check out the integral!) of a .
The curves won't always look as pretty as they did in AP Physics 1 because we have the power of calculus now!
⚠️ So..what does really mean?
Have you ever tried an egg drop experiment? One where you tried to shield a poor egg from cracking as soon as it hit the ground?
Think back to which experiments worked best...theoretically the ones that work best should be the ones that increase the amount of time of impact!
The center of mass of a system of objects is a point that represents the average position of all the objects in the system. The velocity of the center of mass of a system of objects is the rate of change of the position of the center of mass with respect to time.
Here are some key things to remember when solving a problem asking for the velocity of the center of mass:
During the 2007 French Open, Venus Williams hit the fastest recorded serve in a premier women’s match, reaching a speed of 58 m/s (209 km/h). What is the average force exerted on the 0.057-kg tennis ball by Venus Williams’ racquet, assuming that the ball’s speed just after impact is 58 m/s, that the initial horizontal component of the velocity before impact is negligible, and that the ball remained in contact with the racquet for 5.0 ms (milliseconds)?(Taken from Lumen Learning)
Now the magnitude of the net external force can determined by using
Answer:
Use the formula on your formula chart, and don't forget to include your bounds/limits of integration!
Answer:
Again, use the formula on your chart and integrate with bounds. Take note that there is an alternate form of resolving this with another formula
5 min read•january 29, 2023
Daniella Garcia-Loos
Daniella Garcia-Loos
In this unit, we'll only be talking about , but look forward to angular momentum in the next unit! Conceptually, its quite hard to describe without using quantities, but essentially, it is a measurement of mass in motion. The most basic equation for is:
p = mv
Momentum Fast (haha) Facts:
It's a vector
Units are
It is NOT the same as kinetic energy
Kinetic energy is a scalar and describes a different relationship
Let's try to derive using momentum!
Now that looks pretty familiar, doesn't it?
Let's take a closer look at one part of this derivation.
This change in momentum actually has a special name, ! (Or as some like to call, )
Or the calculus version:
We tend to use calculus when the force or the mass is variable, like with a rocket!
is a vector because force has a direction, and the units are the same as momentum(N*s).
Here are some key things to know about :
is the product of force and time, represented mathematically as J = F*Δt.
Additionally, AP loves to ask questions about in relation to graphs!
is the area under the curve (check out the integral!) of a .
The curves won't always look as pretty as they did in AP Physics 1 because we have the power of calculus now!
⚠️ So..what does really mean?
Have you ever tried an egg drop experiment? One where you tried to shield a poor egg from cracking as soon as it hit the ground?
Think back to which experiments worked best...theoretically the ones that work best should be the ones that increase the amount of time of impact!
The center of mass of a system of objects is a point that represents the average position of all the objects in the system. The velocity of the center of mass of a system of objects is the rate of change of the position of the center of mass with respect to time.
Here are some key things to remember when solving a problem asking for the velocity of the center of mass:
During the 2007 French Open, Venus Williams hit the fastest recorded serve in a premier women’s match, reaching a speed of 58 m/s (209 km/h). What is the average force exerted on the 0.057-kg tennis ball by Venus Williams’ racquet, assuming that the ball’s speed just after impact is 58 m/s, that the initial horizontal component of the velocity before impact is negligible, and that the ball remained in contact with the racquet for 5.0 ms (milliseconds)?(Taken from Lumen Learning)
Now the magnitude of the net external force can determined by using
Answer:
Use the formula on your formula chart, and don't forget to include your bounds/limits of integration!
Answer:
Again, use the formula on your chart and integrate with bounds. Take note that there is an alternate form of resolving this with another formula