Momentum and Collisions - Detailed Help

Assignment MC2: Impulse and Momentum Change

Objectives:
  • The student should be able to define impulse, indicate its units and relate its significance to a collision.
  • The student should be able to calculate the impulse and relate its value to the momentum change in a collision.

 

Reading:

The Physics Classroom, Momentum and Its Conservation Unit, Lesson 1, Part b

 

 

An impulse occurs when a ____ is acting upon an object for a given amount of ____ in order to cause a change in ____.


Definition of Impulse:

An object which encounters a collision will experience a force acting for a given amount of time to change its momentum. The impulse experienced by the object is the mathematical product of the force and time.


Meaning of Impulse:

When a force is exerted upon an object (whether in a collision or in any other situation), the object is said to have encountered an impulse. The impulse is simply the product of the force exerted on the object multiplied by the time over which the force was experienced. The impulse changes the object's momentum.

What is impulse?

What would an impulse cause an object to do?

 

 

Which of the following are standard metric units of impulse?


The impulse encountered by an object can be calculated from the force (F) which was exerted on it and the time (t) over which the force was exerted. The formula is

Impulse = F • t


The standard metric units of a quantity can be understood by thinking about its formula. Impulse is the product of force and time (see Formula Fix section above). So the units on impulse are units of force multiplied by units of time. The standard metric unit of force is the Newton; the standard metric unit of time is the second. So the standard metric unit of impulse is Newton x second.


What is impulse?

 

 

In a collision, an object experiences an impulse. This impulse causes and is equal to the _____ of the object.


Definition of Impulse:

An object which encounters a collision will experience a force acting for a given amount of time to change its momentum. The impulse experienced by the object is the mathematical product of the force and time.


Momentum Change - Impulse Theorem:

When a force is exerted upon an object in a collision, the object is said to have encountered an impulse. The impulse is simply the mathematical product of the force exerted on the object and the amount of time over which it was exerted. The impulse changes the object's momentum and is equal to the amount of momentum change.
Impulse = Momentum Change

What would an impulse cause an object to do?

How is impulse related to momentum and momentum change?

 

 

In a collision, an object experiences an impulse. This impulse can be determined by ____.


The impulse encountered by an object can be calculated from the force (F) which is exerted on it and the time (t) over which the force is exerted. The formula is

Impulse = F • t


Momentum Change - Impulse Theorem:

When a force is exerted upon an object in a collision, the object is said to have encountered an impulse. The impulse is simply the mathematical product of the force exerted on the object and the amount of time over which it was exerted. The impulse changes the object's momentum and is equal to the amount of momentum change.
Impulse = Momentum Change

or

F • t = m • v


How can the impulse delivered to an object be calculated?

How is impulse related to momentum and momentum change?

 

 

TRUE or FALSE:

In a collision, the impulse encountered by an object is equal to its momentum.

(Note: Exact wording of question is randomly generated and may vary from the above wording.)


Momentum Change - Impulse Theorem:

When a force is exerted upon an object in a collision, the object is said to have encountered an impulse. The impulse is simply the mathematical product of the force exerted on the object and the amount of time over which it was exerted. The impulse changes the object's momentum and is equal to the amount of momentum change.
Impulse = Momentum Change


Words are important to the meaning of ideas and the tendency to simply drop words out of a sentence will destroy or distort an idea. The impulse-momentum change theorem is a perfect illustration. In a collision, there is an impulse encountered by an object which causes and is equal to the momentum change which it experiences. Impulse is equal to momentum change. The careless dropping of change from the prior sentence destroys the idea and causes potential frustration on this question. Students who redefine the impulse-momentum change theorem to be the impulse-momentum theorem will almost certainly miss this question.


What would an impulse cause an object to do?

How is impulse related to momentum and momentum change?

 

 

A 2.0-kg object moving at 5.0 m/s encounters a 30-Newton resistive force over a duration of 0.10 seconds. The impulse (magnitude only) experienced by this object is approximately ____ N x s.

(Note: Numbers are randomized numbers and likely different from the numbers listed here.)


The impulse encountered by an object can be calculated from the force (F) which is exerted on it and the time (t) over which the force is exerted. The formula is

Impulse = F • t


This question is quite simple if you approach it with a confident understanding of what impulse is and how to calculate it. On the other hand, if your grasp of impulse is weak or your confidence is low, you will become distracted by the amount of information provided in the question. In fact, you will likely make an effort to include mass and velocity information in your calculation despite their lack of importance to the question. Don't be fooled! Impulse is the product of force and time; if both quantities are known, the impulse can be calculated (see Formula Fix section above).


Momentum Change - Impulse Theorem:

When a force is exerted upon an object in a collision, the object is said to have encountered an impulse. The impulse is simply the mathematical product of the force exerted on the object and the amount of time over which it was exerted. The impulse changes the object's momentum and is equal to the amount of momentum change.
Impulse = Momentum Change

How can the impulse delivered to an object be calculated?

How can one use mass, pre- and post-collision velocity, force and/or time values to determine the impulse delivered to an object?

 

 

A 2.0-kg object moving at 5 m/s encounters a 30-Newton resistive force over a duration of 0.10 seconds. The momentum change (magnitude only) experienced by this object is approximately ____ kg x m/s.

(Note: Numbers are randomized numbers and likely different from the numbers listed here.)


Momentum Change - Impulse Theorem:

When a force is exerted upon an object in a collision, the object is said to have encountered an impulse. The impulse is simply the mathematical product of the force exerted on the object and the amount of time over which it was exerted. The impulse changes the object's momentum and is equal to the amount of momentum change.
Impulse = Momentum Change

or

F • t = m • v


This question is quite simple if you approach it with a confident understanding of momentum change and its relationship to the impulse encountered by an object. In a collision, an object changes its momentum; that is, it speeds up, slows down, and/or changes its direction. This momentum change is caused by and is equal to the impulse which it experiences. The momentum change can be calculated in one of two ways. It is calculated as the mass multiplied by the velocity change (m•v) or as the force multiplied by the time (F•t). In answering this question, ask yourself what is known - mass and velocity change or force and time. Then pick the method for calculating the momentum change.


How can the impulse delivered to an object be calculated?

How is impulse related to momentum and momentum change?

How can one use mass, force, time and/or pre- and post-collision velocity values to determine the momentum change of an object?

 

 

A 2.0-kg object moving at 5 m/s encounters a 30-Newton resistive force over a duration of 0.10 seconds. The final momentum of this object is approximately ____ kg x m/s.

(Note: Numbers are randomized numbers and likely different from the numbers listed here.)


Click the button below to play an audio file in a separate window.


As is often the case, an effective strategy is critical to success on a physics question. An effective strategy for this question would be as follows:

  • Determine the impulse encountered by the object (see Formula Fix section below).
  • Determine the momentum change of the object (see Minds On Time section below).
  • Determine the pre-collision momentum of the object (see Formula Fix section below).
  • Since the force is a resistive force, it takes momentum away from the object during the collision. Subtracting the momentum change from the pre-collision momentum of the object will result in the post-collision momentum of the object.


In a collision, an object changes its momentum; that is, it speeds up, slows down, and/or changes its direction. This momentum change is caused by and is equal to the impulse which it experiences. If the impulse is known (or if it can be calculated from force and time), then the momentum change is known. Knowing the momentum change allows one to determine the post-collision momentum value from knowledge of the pre-collision momentum value.


The momentum (p) of an object can be calculated from knowledge of its mass (m) and velocity (v) using the formula:

p = m • v

The impulse encountered by an object can be calculated from the force (F) which is exerted on it and the time (t) over which the force is exerted. The formula is

Impulse = F • t

How is impulse related to momentum and momentum change?

How is the post-collision momentum of an object related to the object's mass, pre-collision velocity, impact force and collision time?