A Basic Introduction to Working with Motion From the Body Moving Velocity
In physics, work is any energy transferred into or from a system through the exertion of pressure or force through a displacement. In its most basic form, this is often described as the result of a product of momentum and force. Put simply, this means that whatever energy you add to one end of an object, you must subtract from the other end. You may think of it in terms of an energy bank, where your funds are stored when you put your money into the bank. As you add more funds to your savings account, your savings increase until they reach a level where you can afford to withdraw a certain amount from your account without having to pay interest.
The concept of work can be applied to almost any dynamic entity, including springs, masses, the motion of the earth around the sun and so on. For the purposes of this article, we will consider only the force acting on the objects within our solar system. This forces is generally referred to as the force of gravity.
When considering the concept of gravity, you need to understand what causes it to be constant throughout the universe, which is why we call it gravity. The laws of Newtonian physics state that the total amount of energy in an accelerating system will remain constant unless some outside force acts to change the system’s velocity. For example, if you took a coin and slammed it onto a table, the effect of that collision would have an instantaneous increase in the coin’s velocity.
One way to visualize the concept of gravity as it relates to accelerated objects is to consider a baseball which is heading straight up towards the plate. Let’s assume for a moment that the ball is traveling at the rate of 4 inches per second and it hits the plate at the center. We then calculate the amount of energy which is being converted to kinetic energy by converting the time it takes for the ball to travel the distance from home to first base, in seconds, to the time it takes for it to come to the plate at the center. We now know that the velocity at which the ball travels on its journey through the plate is x. Therefore, the value of the integral symbol is
The term integral comes from the definition of the impulse or the change in velocity with respect to time. We can define this by plugging the values of the variables, such as time and velocity, into the formula used by mechanics to measure the change in value of a variable. That formula is:
The relationship between force and distance which is integral to working with force is also a useful way to visualize how changing the velocity of an object will change the path it can take. Let’s say you were to apply a downward force along the surface of the earth, which starts at the bottom of the body moving toward the top. Once it gets near the top, the force starts to change, from a downward angle to a perpendicular angle, because the momentum of the body moving up is less than the momentum of the bottom moving down. We can visualize this by realizing that the horizontal distance is equal to the vertical distance times the constant speed of the object moving uphill, which is equal to -cos(up)/(sin(down), where cos(up) is the slope of the planet’s surface.