A puck has an elastic, glancing collision with the edge of an air hockey table.
In
[link] , a puck is shown colliding with the edge of an air hockey table at a glancing angle. During the collision, the edge of the table exerts a force
F on the puck, and the velocity of the puck changes as a result of the collision. The change in momentum is found by the equation:
As shown, the direction of the change in velocity is the same as the direction of the change in momentum, which in turn is in the same direction as the force exerted by the edge of the table.
Note that there is only a horizontal change in velocity. There is no difference in the vertical components of the initial and final velocity vectors; therefore, there is no vertical component to the change in velocity vector or the change in momentum vector. This is consistent with the fact that the force exerted by the edge of the table is purely in the horizontal direction.
Test prep for ap courses
A boy standing on a frictionless ice rink is initially at rest. He throws a snowball in the +
x -direction, and it travels on a ballistic trajectory, hitting the ground some distance away. Which of the following is true about the boy while he is in the act of throwing the snowball?
He feels an upward force to compensate for the downward trajectory of the snowball.
He feels a backward force exerted by the snowball he is throwing.
He feels no net force.
He feels a forward force, the same force that propels the snowball.
A 150-g baseball is initially moving 80 mi/h in the –
x -direction. After colliding with a baseball bat for 20 ms, the baseball moves 80 mi/h in the +
x -direction. What is the magnitude and direction of the average force exerted by the bat on the baseball?
Linear momentum (
momentum for brevity) is defined as the product of a system’s mass multiplied by its velocity.
In symbols, linear momentum
is defined to be
where
is the mass of the system and
is its velocity.
The SI unit for momentum is
.
Newton’s second law of motion in terms of momentum states that the net external force equals the change in momentum of a system divided by the time over which it changes.
In symbols, Newton’s second law of motion is defined to be
is the net external force,
is the change in momentum, and
is the change time.
Conceptual questions
An object that has a small mass and an object that has a large mass have the same momentum. Which object has the largest kinetic energy?
Football coaches advise players to block, hit, and tackle with their feet on the ground rather than by leaping through the air. Using the concepts of momentum, work, and energy, explain how a football player can be more effective with his feet on the ground.
(a) Calculate the momentum of a 2000-kg elephant charging a hunter at a speed of
. (b) Compare the elephant’s momentum with the momentum of a 0.0400-kg tranquilizer dart fired at a speed of
. (c) What is the momentum of the 90.0-kg hunter running at
after missing the elephant?
(a) What is the mass of a large ship that has a momentum of
, when the ship is moving at a speed of
(b) Compare the ship’s momentum to the momentum of a 1100-kg artillery shell fired at a speed of
.
(a) At what speed would a
airplane have to fly to have a momentum of
(the same as the ship’s momentum in the problem above)? (b) What is the plane’s momentum when it is taking off at a speed of
? (c) If the ship is an aircraft carrier that launches these airplanes with a catapult, discuss the implications of your answer to (b) as it relates to recoil effects of the catapult on the ship.
(a)
(b)
(c) Because the momentum of the airplane is 3 orders of magnitude smaller than of the ship, the ship will not recoil very much. The recoil would be
, which is probably not noticeable.
(a) What is the momentum of a garbage truck that is
and is moving at
? (b) At what speed would an 8.00-kg trash can have the same momentum as the truck?
A runaway train car that has a mass of 15,000 kg travels at a speed of
down a track. Compute the time required for a force of 1500 N to bring the car to rest.
In economics, a perfect market refers to a theoretical construct where all participants have perfect information, goods are homogenous, there are no barriers to entry or exit, and prices are determined solely by supply and demand. It's an idealized model used for analysis,
When MP₁ becomes negative, TP start to decline.
Extuples Suppose that the short-run production function of certain cut-flower firm is given by: Q=4KL-0.6K2 - 0.112 •
Where is quantity of cut flower produced, I is labour input and K is fixed capital input (K-5). Determine the average product of lab
Kelo
Extuples Suppose that the short-run production function of certain cut-flower firm is given by: Q=4KL-0.6K2 - 0.112 •
Where is quantity of cut flower produced, I is labour input and K is fixed capital input (K-5). Determine the average product of labour (APL) and marginal product of labour (MPL)
Quantity demanded refers to the specific amount of a good or service that consumers are willing and able to purchase at a give price and within a specific time period. Demand, on the other hand, is a broader concept that encompasses the entire relationship between price and quantity demanded
Ezea
ok
Shukri
how do you save a country economic situation when it's falling apart
Economic growth as an increase in the production and consumption of goods and services within an economy.but
Economic development as a broader concept that encompasses not only economic growth but also social & human well being.
Shukri
production function means
Jabir
What do you think is more important to focus on when considering inequality ?
sir...I just want to ask one question... Define the term contract curve? if you are free please help me to find this answer 🙏
Asui
it is a curve that we get after connecting the pareto optimal combinations of two consumers after their mutually beneficial trade offs
Awais
thank you so much 👍 sir
Asui
In economics, the contract curve refers to the set of points in an Edgeworth box diagram where both parties involved in a trade cannot be made better off without making one of them worse off. It represents the Pareto efficient allocations of goods between two individuals or entities, where neither p
Cornelius
In economics, the contract curve refers to the set of points in an Edgeworth box diagram where both parties involved in a trade cannot be made better off without making one of them worse off. It represents the Pareto efficient allocations of goods between two individuals or entities,
Cornelius
Suppose a consumer consuming two commodities X and Y has
The following utility function u=X0.4 Y0.6. If the price of the X and Y are 2 and 3 respectively and income Constraint is birr 50.
A,Calculate quantities of x and y which maximize utility.
B,Calculate value of Lagrange multiplier.
C,Calculate quantities of X and Y consumed with a given price.
D,alculate optimum level of output .
the market for lemon has 10 potential consumers, each having an individual demand curve p=101-10Qi, where p is price in dollar's per cup and Qi is the number of cups demanded per week by the i th consumer.Find the market demand curve using algebra. Draw an individual demand curve and the market dema
suppose the production function is given by ( L, K)=L¼K¾.assuming capital is fixed find APL and MPL. consider the following short run production function:Q=6L²-0.4L³ a) find the value of L that maximizes output b)find the value of L that maximizes marginal product
