How Do You Solve Momentum Problems in AP Physics?

In summary, the incident ball A of mass 0.10 kg collided with the target ball B of mass 0.50 kg at rest at the edge of a table of height 1.20 m, resulting in the incident ball rebounding at 0.70 m/s and the target ball moving at 1.4 m/s. In another experiment, the target ball B was replaced by target ball C of mass 0.1 kg, and the incident ball A made a glancing collision with it, causing the target ball C to move at 1.31 m/s at an angle of 30 degrees from the +x axis. The horizontal distance d between the point of collision and the point where the target ball C strikes
  • #1
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An incident ball A of mass 0.10 kg is sliding at 1.4 m/s on the horizontal tabletop of negligible friction show above. It makes a head on collision with a target ball B of mass 0.50 kg at rest at the edge of the table. As a result of the collision, the incident ball rebounds, sliding backwards at 0.70 m/s immediately after the collision.

(a). Calculate the speed of the 0.50 kg target ball immediately after the collision

The tabletop is 1.20 m above a level, horizontal floor. The target ball is projected horizontally and initially strikes the floor at a horizontal displacement d from the point of collision.

(b) Calculate the horizontal distance d

In another experiment on the same table, the target ball
B is replaced by target ball C of mass 0.1 kg. The incident
ball A again slides at 1.4 m/s, as shown at the left, but
this time makes a glancing collision with the target ball
C that is at rest at the edge of the table. The target ball C
strikes the floor at point P, which is at a horizontal
displacement of 0.15 m from the point of the collision., and
at an angle of 300 from the + x axis, as shown at the right.

(c) Calculate the speed v of the target ball C immediately after the collision.
(d) Calculate the y component of the incident ball A’s momentum immediately after the collision


ap.jpg


View attachment app.doc



i think i got a and b
but for c and d i have no clue how to do it
please just give me some tip thanks =]
 
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  • #2
a) The speed of the target ball B immediately after the collision is 1.4 m/s. b) The horizontal distance d is 0.6 m. c) The speed of the target ball C immediately after the collision is 1.31 m/s. d) The y-component of the incident ball A's momentum immediately after the collision is 0.14 kg m/s.
 

FAQ: How Do You Solve Momentum Problems in AP Physics?

What is momentum in physics?

Momentum is a physical quantity that describes the motion of an object. It is defined as the product of an object's mass and its velocity. In other words, momentum is a measure of how difficult it is to change an object's motion.

How is momentum calculated?

Momentum is calculated by multiplying an object's mass (m) by its velocity (v). The formula for momentum is p = m * v.

What is the unit of measurement for momentum?

The unit of measurement for momentum is kilogram-meter per second (kg*m/s).

How does momentum relate to Newton's Laws of Motion?

Momentum is closely related to Newton's Laws of Motion. According to Newton's first law, an object will maintain its state of motion unless acted upon by an external force. This means that an object with a larger momentum will be more difficult to change its motion. Newton's second law, which states that force is equal to mass times acceleration, can also be rewritten as f = m * a = m * (change in velocity / change in time). This shows that a change in momentum over time is equal to the force acting on an object. Finally, Newton's third law, which states that for every action there is an equal and opposite reaction, can also be applied to momentum. When two objects collide, their momenta will always be equal and opposite.

How is momentum conserved in a closed system?

In a closed system, the total momentum before a collision or interaction is equal to the total momentum after the collision or interaction. This means that momentum is conserved, and no momentum is lost or gained in the system. This principle is known as the law of conservation of momentum and is a fundamental concept in physics.

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