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Page 1 CHAPTER - 11 WORK AND ENERGY Page 2 CHAPTER - 11 WORK AND ENERGY 1) Work :- Work is said to be done when a force acts on an object and the object is displaced in the direction of force. The work done on an object is the product of the force applied and the displacement. Work done = force x displacement W = F X s The unit of work is joule (J). If F is 1 Newton and displacement is 1 metre then the work done is 1Nm or 1 joule (J). So 1 joule is the amount of work done when a force of I Newton displaces an object by 1 metre. Eg :- If a force of 5 N acts on an object is displaced through 2 m in the direction of force, then work done is 5 N x 2 m = 10 Nm or 10 J Page 3 CHAPTER - 11 WORK AND ENERGY 1) Work :- Work is said to be done when a force acts on an object and the object is displaced in the direction of force. The work done on an object is the product of the force applied and the displacement. Work done = force x displacement W = F X s The unit of work is joule (J). If F is 1 Newton and displacement is 1 metre then the work done is 1Nm or 1 joule (J). So 1 joule is the amount of work done when a force of I Newton displaces an object by 1 metre. Eg :- If a force of 5 N acts on an object is displaced through 2 m in the direction of force, then work done is 5 N x 2 m = 10 Nm or 10 J The work done by a force may be positive or negative. The work done by a force is positive if the force and displacement are in the same direction. The work done by a force if negative if the force and displacement are in opposite directions. The work done by a force is zero if there is no displacement. The work done by a force is zero if the force is perpendicular to the displacement. Eg :- When we lift an object the object moves upward in the direction of force. Here the work done is positive. But there is the force of gravity acting downward on the object. The work done by the force of gravity is negative. Eg :- A porter lifts a luggage of 15 kg from the ground and puts it on his head 1.5 m above the ground. Calculate the work done by him on the luggage. Mass of luggage m = 15 kg, displacement = 1.5 m, Acceleration due to gravity = 10 ms Work done W = F x s = mg x s = 15 kg x 10 ms x 1.5 m = 225 kg ms = 225 N m = 225 J -2 -2 -2 Page 4 CHAPTER - 11 WORK AND ENERGY 1) Work :- Work is said to be done when a force acts on an object and the object is displaced in the direction of force. The work done on an object is the product of the force applied and the displacement. Work done = force x displacement W = F X s The unit of work is joule (J). If F is 1 Newton and displacement is 1 metre then the work done is 1Nm or 1 joule (J). So 1 joule is the amount of work done when a force of I Newton displaces an object by 1 metre. Eg :- If a force of 5 N acts on an object is displaced through 2 m in the direction of force, then work done is 5 N x 2 m = 10 Nm or 10 J The work done by a force may be positive or negative. The work done by a force is positive if the force and displacement are in the same direction. The work done by a force if negative if the force and displacement are in opposite directions. The work done by a force is zero if there is no displacement. The work done by a force is zero if the force is perpendicular to the displacement. Eg :- When we lift an object the object moves upward in the direction of force. Here the work done is positive. But there is the force of gravity acting downward on the object. The work done by the force of gravity is negative. Eg :- A porter lifts a luggage of 15 kg from the ground and puts it on his head 1.5 m above the ground. Calculate the work done by him on the luggage. Mass of luggage m = 15 kg, displacement = 1.5 m, Acceleration due to gravity = 10 ms Work done W = F x s = mg x s = 15 kg x 10 ms x 1.5 m = 225 kg ms = 225 N m = 225 J -2 -2 -2 2) Energy :- The energy of an object is its capacity for doing work. The unit of energy is the same as that of work that is joule(J). 1 joule is the energy required to do 1 joule of work. 1000 J = 1 kilo joule (kJ). There are different forms of energy. They are heat energy, light energy, electrical energy, chemical energy, mechanical energy (potential energy + kinetic energy) etc. 3) Kinetic energy :- The kinetic energy of an object is the energy possessed by the object due to its motion. All moving objects possess kinetic energy. A falling coconut, a speeding car, a flying aircraft, flowing water, blowing wind, a running athlete etc. possess kinetic energy. The kinetic energy of an object depends upon its speed. An object moving faster has more kinetic energy than an object moving slower. Page 5 CHAPTER - 11 WORK AND ENERGY 1) Work :- Work is said to be done when a force acts on an object and the object is displaced in the direction of force. The work done on an object is the product of the force applied and the displacement. Work done = force x displacement W = F X s The unit of work is joule (J). If F is 1 Newton and displacement is 1 metre then the work done is 1Nm or 1 joule (J). So 1 joule is the amount of work done when a force of I Newton displaces an object by 1 metre. Eg :- If a force of 5 N acts on an object is displaced through 2 m in the direction of force, then work done is 5 N x 2 m = 10 Nm or 10 J The work done by a force may be positive or negative. The work done by a force is positive if the force and displacement are in the same direction. The work done by a force if negative if the force and displacement are in opposite directions. The work done by a force is zero if there is no displacement. The work done by a force is zero if the force is perpendicular to the displacement. Eg :- When we lift an object the object moves upward in the direction of force. Here the work done is positive. But there is the force of gravity acting downward on the object. The work done by the force of gravity is negative. Eg :- A porter lifts a luggage of 15 kg from the ground and puts it on his head 1.5 m above the ground. Calculate the work done by him on the luggage. Mass of luggage m = 15 kg, displacement = 1.5 m, Acceleration due to gravity = 10 ms Work done W = F x s = mg x s = 15 kg x 10 ms x 1.5 m = 225 kg ms = 225 N m = 225 J -2 -2 -2 2) Energy :- The energy of an object is its capacity for doing work. The unit of energy is the same as that of work that is joule(J). 1 joule is the energy required to do 1 joule of work. 1000 J = 1 kilo joule (kJ). There are different forms of energy. They are heat energy, light energy, electrical energy, chemical energy, mechanical energy (potential energy + kinetic energy) etc. 3) Kinetic energy :- The kinetic energy of an object is the energy possessed by the object due to its motion. All moving objects possess kinetic energy. A falling coconut, a speeding car, a flying aircraft, flowing water, blowing wind, a running athlete etc. possess kinetic energy. The kinetic energy of an object depends upon its speed. An object moving faster has more kinetic energy than an object moving slower. The kinetic energy possessed by an object of mass m and moving with uniform velocity v is E = mv Eg :- An object of mass 15 kg is moving with a uniform velocity of 4 ms . What is the kinetic energy possessed by the object ? Mass of the object m = 15 kg. Velocity of the object v = 4 ms E = mv = x 15 kg x 4 ms x 4 ms = 120 J The kinetic energy of the object is 120 J 2 k -1 -1 1 2 2 k 1 2 1 2 -1 -1Read More
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