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When several forces act on a body
- a)the effect on its motion is the same as when a single force acts on the body
- b)the effect on its motion is the same as when a single force, equal to the vector sum (resultant) of the forces, acts on the body
- c)the effect on its motion is the same as when a single force, not equal to the vector sum (resultant) of the forces, acts on the body
- d)none
Correct answer is option 'B'. Can you explain this answer?
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When several forces act on a bodya)the effect on its motion is the sam...
When an object has several forces acting on it, the effect of force is the same as one force acting on the object in a certain direction and this overall force is called the ‘resultant force’. The resultant force is essential to change the velocity of an object.
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When several forces act on a bodya)the effect on its motion is the sam...
The Effect of Several Forces Acting on a Body
When several forces act on a body, the effect on its motion is the same as when a single force, equal to the vector sum (resultant) of the forces, acts on the body. This is referred to as the principle of superposition of forces.
Explanation:
1. Principle of Superposition of Forces:
According to the principle of superposition of forces, when multiple forces act on a body simultaneously, their individual effects on the body's motion can be combined or added together to determine the overall effect. This combination of forces is known as the resultant force.
2. Vector Sum of Forces:
Each force acting on the body has a magnitude and a direction, and these forces can be represented as vectors. When multiple forces act on a body, their vector sum or resultant force is obtained by adding the individual force vectors together using vector addition.
3. Effect on Motion:
The resultant force represents the combined effect of all the forces acting on the body. This resultant force determines how the body's motion will change. According to Newton's second law of motion, the acceleration of a body is directly proportional to the net force acting on it and inversely proportional to its mass.
4. Equal to the Vector Sum:
Option B states that the effect on the body's motion is the same as when a single force, equal to the vector sum (resultant) of the forces, acts on the body. This means that the resultant force is equivalent to the sum of the individual forces in terms of magnitude and direction.
5. Force Equilibrium:
If the vector sum of the forces acting on a body is zero, the body is said to be in force equilibrium. In this case, the forces cancel each other out, and the body will not experience any acceleration or changes in its motion.
Conclusion:
When several forces act on a body, the effect on its motion is determined by the resultant force, which is equal to the vector sum of the forces. This principle of superposition allows us to simplify the analysis of complex systems by considering the combined effect of multiple forces as a single force acting on the body.
When several forces act on a body, the effect on its motion is the same as when a single force, equal to the vector sum (resultant) of the forces, acts on the body. This is referred to as the principle of superposition of forces.
Explanation:
1. Principle of Superposition of Forces:
According to the principle of superposition of forces, when multiple forces act on a body simultaneously, their individual effects on the body's motion can be combined or added together to determine the overall effect. This combination of forces is known as the resultant force.
2. Vector Sum of Forces:
Each force acting on the body has a magnitude and a direction, and these forces can be represented as vectors. When multiple forces act on a body, their vector sum or resultant force is obtained by adding the individual force vectors together using vector addition.
3. Effect on Motion:
The resultant force represents the combined effect of all the forces acting on the body. This resultant force determines how the body's motion will change. According to Newton's second law of motion, the acceleration of a body is directly proportional to the net force acting on it and inversely proportional to its mass.
4. Equal to the Vector Sum:
Option B states that the effect on the body's motion is the same as when a single force, equal to the vector sum (resultant) of the forces, acts on the body. This means that the resultant force is equivalent to the sum of the individual forces in terms of magnitude and direction.
5. Force Equilibrium:
If the vector sum of the forces acting on a body is zero, the body is said to be in force equilibrium. In this case, the forces cancel each other out, and the body will not experience any acceleration or changes in its motion.
Conclusion:
When several forces act on a body, the effect on its motion is determined by the resultant force, which is equal to the vector sum of the forces. This principle of superposition allows us to simplify the analysis of complex systems by considering the combined effect of multiple forces as a single force acting on the body.
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When several forces act on a bodya)the effect on its motion is the sam...
Vector a=vector a+b+c
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When several forces act on a bodya)the effect on its motion is the same as when a single force acts on the bodyb)the effect on its motion is the same as when a single force, equal to the vector sum (resultant) of the forces, acts on the bodyc)the effect on its motion is the same as when a single force, not equal to the vector sum (resultant) of the forces, acts on the bodyd)noneCorrect answer is option 'B'. Can you explain this answer?
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