Distinguish between work,energy and power. If a body of weight 10 Newton is lifted from the floor to table 2 meter above the floor,calculate the potential energy gained. What happeneds to the energy of the body fall off the table and hit the floor?
Distinguish between work,energy a
Work, energy, and power are related concepts in physics.
1. Work: Work is defined as the transfer of energy that occurs when a force is applied to an object and the object moves in the direction of the force. Mathematically, work can be calculated using the equation: Work = Force x Distance x cosθ, where θ is the angle between the force and the direction of motion.
2. Energy: Energy is the capacity to do work or cause change. It exists in various forms such as kinetic energy (energy of motion), potential energy (stored energy), thermal energy, electrical energy, etc. Energy can be neither created nor destroyed but can only be converted from one form to another.
3. Power: Power is the rate at which work is done or energy is transferred or converted. Mathematically, power can be calculated using the equation: Power = Work / Time.
Now, let's calculate the potential energy gained when a body of weight 10 Newton is lifted from the floor to a table 2 meters above the floor.
Potential energy is defined as the energy possessed by an object due to its position or height above the ground. It can be calculated using the equation: Potential Energy = Weight x Height.
Given:
Weight = 10 Newton
Height = 2 meters
Potential Energy = 10 N x 2 m = 20 Joules
So, the potential energy gained by the body is 20 Joules when it is lifted to the table.
When the body falls off the table and hits the floor, the potential energy is converted into kinetic energy. The kinetic energy is the energy of motion possessed by the body. Some of the potential energy will also be dissipated as thermal energy due to air resistance and other factors.
nd power:
Work: Work is defined as the force applied on an object multiplied by the displacement of the object in the direction of the force. It is a scalar quantity and is measured in joules (J). Work is done when there is a transfer or transformation of energy.
Energy: Energy is the capacity of an object to do work or transfer heat. It is a scalar quantity and is also measured in joules (J). There are various forms of energy such as kinetic energy (energy of motion), potential energy (energy stored in an object due to its position or condition), thermal energy (energy associated with temperature), etc.
Power: Power is the rate at which work is done or energy is transferred. It is defined as the amount of work done in a given time period. Power is a scalar quantity and is measured in watts (W). Mathematically, power is calculated as the ratio of work done to the time taken.
In the given scenario, a body of weight 10 Newton is lifted from the floor to a table 2 meters above the floor. The potential energy gained by the body can be calculated using the formula for gravitational potential energy, which is given by:
Potential energy = weight × height
Potential energy = 10 N × 2 m = 20 J
When the body falls off the table and hits the floor, its potential energy is converted into kinetic energy as it accelerates due to gravity. At the point of impact with the floor, the kinetic energy is then transferred to the floor and the body may bounce back, lose energy through sound or heat, etc. Overall, the energy of the body is transformed into other forms of energy depending on the situation.
To distinguish between work, energy, and power:
1. Work: In physics, work is defined as the transfer of energy that occurs when a force is applied to an object and moves it in the same direction as the force. Mathematically, work is calculated as the product of force and displacement: Work = Force x Displacement x cos(theta), where theta is the angle between the force and displacement vectors. The unit of work is the joule (J).
2. Energy: Energy is a property of an object or a system that allows it to do work. It can exist in various forms, such as kinetic energy (energy of motion), potential energy (energy due to an object's position or condition), thermal energy (energy due to temperature difference), etc. The unit of energy is also the joule (J).
3. Power: Power is the rate at which work is done or energy is transferred. It is defined as the work done or energy transferred divided by the time taken. Mathematically, power is calculated as Power = Work / Time = Energy / Time. The unit of power is the watt (W).
Now, to calculate the potential energy gained by lifting a body of weight 10 Newton from the floor to a table 2 meters above the floor, we need to use the formula for gravitational potential energy:
Potential Energy = Weight x Height
Given:
Weight = 10 Newton
Height = 2 meters
Potential Energy = 10 N x 2 m = 20 joules (J)
Therefore, the potential energy gained by lifting the body is 20 joules.
When the body falls off the table and hits the floor, its potential energy is converted into kinetic energy. Kinetic energy is the energy possessed by an object due to its motion. The potential energy at the top of the fall is converted into kinetic energy as the body accelerates downwards. Some energy may also be lost due to factors like air resistance. When the body hits the floor, the kinetic energy is typically dissipated as sound and heat energy, leading to a loss of mechanical energy.