0
1) Work input = Force * distance
2) Force = mass*acceleration
3) Acceleration = (Vf - Vi) ÷ time
4) Force = mass * [(Vf - Vi) ÷ time]
5) Distance = Average velocity * time
6) Average velocity = (Vf + Vi) ÷ 2
7) Distance = [(Vf + Vi) ÷ 2] * time
Eq#4 * EQ #7
8) Work input = mass * [(Vf - Vi) ÷ time] * [(Vf + Vi) ÷ 2] * time
Time cancels
9) Work input = mass * (Vf - Vi) * (Vf + Vi) ÷ 2
10)(Vf - Vi) * (Vf + Vi) = Vf^2 - Vi^2
11)Work input = mass * [Vf^2 - Vi^2] ÷ 2
12)Work input = mass *( Vf^2 ÷ 2) - mass * (Vi^2 ÷ 2)
13)Kinetic energy = ½ mass *velocity ^2
14) Change in KE = (½ mass * Vf ^2) - (½ mass * Vi ^2)
Equation #12 = Equation #14 so
15)Work input = Change in KE
16)Work input = ∆ KE
What else can I help you with?
How does the relationship between work and kinetic energy affect the motion of an object?
The relationship between work and kinetic energy affects the motion of an object by showing that work done on an object can change its kinetic energy, which in turn affects its speed and motion. When work is done on an object, it can increase or decrease its kinetic energy, leading to changes in its motion.
What is the relationship between work and energy?
The relationship between work and energy is that work is the transfer of energy from one object to another. When work is done on an object, energy is transferred to that object, causing a change in its state or motion. Energy is the ability to do work, and work is the process of transferring energy.
James Joule investigated the relationship between heat and 1 temperature 2 work 3 motion 4 radiation?
James Joule investigated the relationship between heat and work. He is known for discovering the principle of conservation of energy, which led to the development of the first law of thermodynamics.
What is the relationship between work and kinetic energy?
The relationship between work and kinetic energy is that work done on an object can change its kinetic energy. When work is done on an object, it can increase or decrease the object's kinetic energy, which is the energy of motion. The work-energy theorem states that the work done on an object is equal to the change in its kinetic energy.
How does the relationship between energy and force impact the motion of objects?
The relationship between energy and force affects the motion of objects by determining how much work is done on the object. When a force acts on an object, it can transfer energy to the object, causing it to move. The amount of force applied and the distance over which it is applied determine the amount of energy transferred and the resulting motion of the object.
How does the relationship between work and kinetic energy affect the motion of an object?
The relationship between work and kinetic energy affects the motion of an object by showing that work done on an object can change its kinetic energy, which in turn affects its speed and motion. When work is done on an object, it can increase or decrease its kinetic energy, leading to changes in its motion.
What is the relationship between work and energy?
The relationship between work and energy is that work is the transfer of energy from one object to another. When work is done on an object, energy is transferred to that object, causing a change in its state or motion. Energy is the ability to do work, and work is the process of transferring energy.
James Joule investigated the relationship between heat and 1 temperature 2 work 3 motion 4 radiation?
James Joule investigated the relationship between heat and work. He is known for discovering the principle of conservation of energy, which led to the development of the first law of thermodynamics.
What is the relationship between education and work?
what is the relationship between work and education
What is dynamic cart?
It is used to demonstrate the relationship between the motion and cause of motion.
What is the relationship between work and kinetic energy?
The relationship between work and kinetic energy is that work done on an object can change its kinetic energy. When work is done on an object, it can increase or decrease the object's kinetic energy, which is the energy of motion. The work-energy theorem states that the work done on an object is equal to the change in its kinetic energy.
How mass affects by motion?
The relationship between mass and motion is given by Newton's Second Law.
How does the relationship between energy and force impact the motion of objects?
The relationship between energy and force affects the motion of objects by determining how much work is done on the object. When a force acts on an object, it can transfer energy to the object, causing it to move. The amount of force applied and the distance over which it is applied determine the amount of energy transferred and the resulting motion of the object.
What are some examples of force and motion questions that can help students understand the relationship between force and motion?
Here are some examples of force and motion questions that can help students understand the relationship between force and motion: How does the force of gravity affect the motion of objects? What is the relationship between the force applied to an object and its resulting acceleration? How does friction impact the motion of objects on different surfaces? Can you explain how Newton's laws of motion help us understand the relationship between force and motion? How does air resistance affect the motion of objects moving through the air? What role does inertia play in the relationship between force and motion? How does the mass of an object influence the amount of force needed to move it? Can you describe how different types of forces, such as tension and compression, affect the motion of objects? How do balanced and unbalanced forces impact the motion of an object? Can you provide examples of everyday situations where force and motion are at play?
Who is scientist that discovered motion?
One of the key scientists who contributed to our understanding of motion was Sir Isaac Newton. He formulated the three laws of motion, which describe the relationship between an object and the forces acting on it. His work laid the foundation for classical mechanics.
What is an authority relationship?
A relationship between people and there work
What is the relationship between momentum and energy?
The relationship between momentum and energy is that momentum is a measure of an object's motion, while energy is a measure of an object's ability to do work. In a closed system, momentum and energy are conserved, meaning they can be transferred between objects but the total amount remains constant.
