Newton's Laws - Detailed Help

Assignment NL10: Free Fall and the Acceleration of Gravity

Objectives:
  • The student should be able to state the definition of free fall and identify common characteristics of free-falling objects.
  • The student should be able to describe the effect of mass upon a free-falling object and to calculate the speed and displacement of free-falling objects.

 

Reading:

The Physics Classroom, Newton's Laws Unit, Lesson 3, Part e

 

 


A free-falling object is an object ...


Definition of Free Fall:

Free fall is the state of an object in which the only force acting upon it is the force of gravity.

Some students mistaken free fall with falling with a terminal velocity. But don't be fooled! A free falling object could never reach a terminal velocity. Terminal velocity is the falling condition in which air resistance balances the downward force of gravity. A free-falling object is an object upon which the only force is gravity. With no air resistance present, a free-falling object could never reach terminal velocity.


What does free-falling mean?

Does air resistance act upon a free-falling object?

 

 

The diagrams below show free-body diagrams and velocity values at an instant during the fall of several objects. Based on the diagrams, which objects could be in free fall? ...


Definition of Free Fall:

Free fall is the state of an object in which the only force acting upon it is the force of gravity.

The definition of free fall (above) must be applied to this question in order to answer it successfully. If the only force is gravity, then the object is in free fall.


What would the free-body diagram for a free-falling object look like?

Does air resistance act upon a free-falling object?

 

 

Which of the following statements are true of all free-falling objects? List all that apply ...


Definition of Free Fall:

Free fall is the state of an object in which the only force acting upon it is the force of gravity.

The diagrams in this question are showing the forces acting upon an object. A free-falling object is an object upon which the only force is gravity. Knowing the definition should go a long way towards helping you answer this question. See Define Help section above.


What does free-falling mean?

What would the free-body diagram for a free-falling object look like?

What effect does mass have upon the free-fall acceleration value?

How does one determine the net force upon a free-falling object?

 

 

TRUE or FALSE:

An object is in free-fall if ... OR

An object is thrown upward; after being thrown, air resistance has a negligible effect and gravity can be considered the only force acting upon it. Because the object is rising towards its peak ...


Definition of Free Fall:

Free fall is the state of an object in which the only force acting upon it is the force of gravity.

As the definition states, an object is in free fall if the only force acting upon the object is the force of gravity. Regardless of which direction the object moves or how fast the object moves, if the only force acting upon the object is gravity, then the object is free-falling.



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What does free-falling mean?

 

 


The value of g is 9.8 m/s/s. 'g' stands for ...


Definition of the Acceleration of Gravity:

The acceleration of gravity is the acceleration value an object would have if acted upon solely by the force of gravity. On Earth, it is a constant value of 9.8 m/s/s.

The English language has an overwhelming number of words. Because of the enormous array of words which can be chosen from to make a sentence, we can write and speak with great precision. As such, we can use a phrase like acceleration of gravity and mean something different than the phrase force of gravity. The moment a student begins to shorten the phrase acceleration of gravity to gravity is the moment that great difficulties begin to arise. In the mind of the student, the acceleration of gravity is reduced to gravity and the force of gravity is reduced to gravity and sublevels 6 and 10 become enormously difficult.

But don't be fooled! The acceleration of gravity is an acceleration value; it is the acceleration of an object which is acted upon solely by the force of gravity. It is represented by the symbol g and has a value of 9.8 m/s/s. The acceleration of gravity should not be confused with the force of gravity. The force of gravity is a force - a push or pull - which acts upon an object due to Earth's attraction of it. The force of gravity is sometimes referred to as the weight of the object. It is measured in Newtons and is often represented by the symbol Fgrav.


What does the symbol g stand for?

 

 

Which of the following statements are true of free-falling objects of different mass? List all that apply


A student will have to be abnormally careful with language in order to be successful on this sublevel. Language? Yes! Language! Acceleration. Acceleration of gravity, Gravity, Force of gravity. Don't be fooled! All these terms mean something different and if you fail to recognize this fact then you will miss this question and others like it. So here's a language lesson:

The acceleration of gravity is the acceleration value experienced by an object which is under the sole influence of gravity. It might be thought of as the acceleration caused by gravity alone. It's value is the same for all objects regardless of their mass. The acceleration of gravity is such an important value in Physics that it has it's own symbol - g. On Earth, the value at which an object accelerates when under the sole influence of gravity is 9.8 m/s/s.

The acceleration of an object is simply the rate at which its velocity changes. When in free fall, that value of acceleration is 9.8 m/s/s. When not in free fall, the acceleration is likely to be some other value. The acceleration is always the ratio of net force to mass, whether in free fall or not in free fall.

The force of gravity is the pull which is exerted upon an object by the Earth (or moon or ...). It is a downward pull which any object with mass (thus, any object) will experience. The force of gravity is sometimes referred to as the object's weight. It's value is dependent upon the mass of the object. More details about the gravity force will be discussed in a later unit.


Free Fall and Mass

All objects will free fall with the same rate of acceleration regardless of their mass. On Earth, the acceleration of a free-falling object is 9.8 m/s/s. This is called the acceleration of gravity.

The force of gravity (or weight) acting upon an object can be calculated using the equation:

Fgrav = mass • g

where g is the acceleration caused by gravity alone. The value of g on Earth is 9.8 m/s/s (approximately 10 m/s/s).


What does the symbol g stand for?

How are the mass and the force of gravity acting upon an object mathematically related?

 

 

A massive and a less massive object free-fall at the same rate because ...

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The acceleration of any object is the ratio of the net force which acts upon it to the mass of the object. That is, a = Fnet / m. If in free fall, the only force is gravity. The value of the force of gravity can be calculated as the product of m•g. As such, the acceleration is the ratio of m•g (net force) to m (mass). That is, a = m•g / m. Since the mass will cancel from the numerator and the denominator of this equation, it is clear that a = g for a free-falling object. Since g is the same value for all objects, it is true that all objects will free fall with the same rate of acceleration. The reason? The ratio of net force (m•g for free fall) to mass is the same for all objects.


Why does a massive rock and a less massive rock free fall at the same rate?

 

 

A 2-kg (or a 3-kg) object is thrown upwards with an initial velocity of 16 m/s (or 15 m/s) . At the peak of the trajectory, the approximate magnitudes of the net force and acceleration are ...


Once the object is projected, the only force of influence is the force of gravity. The object is in a state of free fall and its acceleration is the free fall acceleration value - g. Since the force of gravity is the only force acting upon the object, the net force is equal to the force of gravity - m•g.


The force of gravity (or weight) acting upon an object can be calculated using the equation:

Fgrav = mass • g

where g is the acceleration caused by gravity alone. The value of g on Earth is 9.8 m/s/s (approximately 10 m/s/s).

What does free-falling mean?


How does one determine the net force upon a free-falling object?

What is the acceleration of a free-falling object?

 

 

A 2-kg (or a 3-kg) object is free-falling from the top of a tall building. After 3 seconds (or 2 seconds) of free fall, its speed will be approximately ___ m/s and its distance of fall will be approximately ...



An object which is in free fall is acted upon solely by the force of gravity. Such objects will accelerate at a rate of 9.8 m/s/s - approximately 10 m/s/s. That is, every second, the speed will change by approximately 10 m/s. Knowing the time of fall, allows one to quite easily determine the falling speed. If necessary, use the equations in the Formula Fix section below.


The final speed of an object after a certain time can be predicted using the kinematic equation:

vf = vo + a • t

The distance fallen by an object after a certain time can be predicted using the kinematic equation:

d = vo • t + 0.5 • a • t2

Definition of Free Fall:

Free fall is the state of an object in which the only force acting upon it is the force of gravity.

What does free-falling mean?

How does one determine the speed of a free-falling object after falling for some interval of time?

How does one determine the distance which a free-falling object has fallen after some interval of time?

 

 

A 4-kg (or a 2-kg) object is free-falling from the top of a tall building. After 5 seconds (or 4 seconds) of free fall, its speed will be approximately ___ m/s and its distance of fall will be approximately ...


An object which is in free fall is acted upon solely by the force of gravity. Such objects will accelerate at a rate of 9.8 m/s/s - approximately 10 m/s/s. That is, every second, the speed will change by approximately 10 m/s. Knowing the time of fall, allows one to quite easily determine the falling speed. If necessary, use the equations in the Formula Fix section below.


The final speed of an object after a certain time can be predicted using the kinematic equation:

vf = vo + a • t

The distance traveled by an object after a certain time can be predicted using the kinematic equation:

d = vo • t + 0.5 • a • t2

Definition of Free Fall:

Free fall is the state of an object in which the only force acting upon it is the force of gravity.

What does free-falling mean?

How does one determine the speed of a free-falling object after falling for some interval of time?

How does one determine the distance which a free-falling object has fallen after some interval of time?