HOOKE'S LAW Introduction In physics, Hooke's Law is one of the fundamental principles governing how objects deform under external forces . Named after the 17th-century British physicist Robert Hooke, this law provides a crucial understanding of the behavior of elastic materials, such as springs and rubber bands. Whether stretching a rubber band or compressing a spring, Hooke's Law helps explain what happens when forces act on these materials. What is Hooke's Law: Hooke's Law states that the force F needed to extend or compress a spring by some distance x is proportional to that distance. Mathematically, it is expressed as: F= -kx Here k represents the spring constant, which is the measure of the stiffness of the spring, and x is the displacement from the displacement position. The negative sign indicates that the force exerted by the spring is in the opposite direction of the displacement. Understanding the Spring Constant: The spring constant k is a critical co
MOTION UNDER GRAVITY
In this article I will discuss about the Motion Under Gravity with its basic and brief concept.
Motion Under Gravity means the motion of object which if affected by the gravitational force (force of gravity).
The Earth attract every object toward its center with a constant gravitational force which is 9.8m/s^2.
In early days Aristotle said that "The object with heavy weight will fall first than the object with the lighter weight."
But after Aristotle Galileo carried out various experiments he climbed up the Pisa Tower and he throw two objects one with heavy weight and one with the lighter weight both fall on the same time.
Then he said that, "If the air resistance is neglected/ vacuum created and two objects irrespective of their mass, size or shape thrown together will fall on the same time on the earth."
This discarded the concept given by Aristotle.
EQUATIONS OF MOTION
Equations of Motion for motion under gravity can be converted easily.
- Replace acceleration (a) with gravitational acceleration (g).
- Replace distance (S) with the Height (h).
Vf= Vi + at
Vf= Vi+gt
S= Vit + 1/2 at^2
h= Vit -1/2 gt^2
2aS= Vf^2 - Vi^2
2gh = Vf^2 - Vi^2
Value of g for calculations:
- The value of g is 9.8 m/s^2 or sometimes it is taken as 10m/s^2.
- If the object is moving away from earth (as upward direction), the value of g will be taken as Negative.
- If the object moves toward earth (Downward direction), the value of g will be taken as Positive.
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