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According to second law of motion
  • a)
    The momentum of a body is directly proportional to the applied force and takes place in the direction in which the force acts
  • b)
    The change of momentum of a body is directly proportional to the applied force and takes place in the direction in which the force acts
  • c)
    The rate of change of momentum of a body is directly proportional to the applied force and takes place in the direction in which the force acts
  • d)
    The momentum of a body is directly proportional to the applied force and takes place in the direction opposite to the force
Correct answer is option 'C'. Can you explain this answer?
Verified Answer
According to second law of motiona)The momentum of a body is directly ...
According to Newton s Second Law of Motion, also known as the Law of Force and Acceleration, a force upon an object causes it to accelerate according to the formula net force = mass x acceleration. So the acceleration of the object is directly proportional to the force and inversely proportional to the mass.
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According to second law of motiona)The momentum of a body is directly ...
The second law of motion, also known as Newton's second law of motion, states that the rate of change of momentum of a body is directly proportional to the applied force and takes place in the direction in which the force acts. Let's break down this statement to understand it better:

Rate of Change of Momentum:
- Momentum is defined as the product of an object's mass and its velocity. It is a vector quantity, meaning it has both magnitude and direction.
- The rate of change of momentum refers to how quickly the momentum of an object is changing. If the momentum is increasing, the rate of change of momentum is positive. If the momentum is decreasing, the rate of change of momentum is negative.

Applied Force:
- Force is defined as the push or pull on an object that can cause it to accelerate or change its state of motion. It is also a vector quantity, having both magnitude and direction.
- The applied force is the force that is exerted on an object. It can be applied by contact forces (such as pushing or pulling) or non-contact forces (such as gravitational or electromagnetic forces).

Direct Proportionality:
- When two quantities are directly proportional, it means that as one quantity increases, the other quantity increases in the same proportion, and vice versa. In this case, it means that as the applied force on an object increases, the rate of change of its momentum also increases.

Direction of Force and Momentum:
- According to Newton's second law, the rate of change of momentum takes place in the direction in which the applied force acts. This means that if a force is applied in a certain direction, the resulting change in momentum will also occur in that same direction.
- However, it's important to note that momentum has both magnitude and direction, so if the force acts in the opposite direction to the object's motion, the change in momentum will be negative (decreasing the magnitude of momentum) and the object may eventually come to a stop or change direction.

In conclusion, the correct statement is option 'C': The rate of change of momentum of a body is directly proportional to the applied force and takes place in the direction in which the force acts. This law helps us understand how forces affect the motion of objects and allows us to quantify the relationship between force, momentum, and acceleration.
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According to second law of motiona)The momentum of a body is directly ...
In other options time is not mentioned but here rate of change of momentum is clearly written so this is the correct answer
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According to second law of motiona)The momentum of a body is directly proportional to the applied force and takes place in the direction in which the force actsb)The change of momentum of a body is directly proportional to the applied force and takes place in the direction in which the force actsc)The rate of change of momentum of a body is directly proportional to the applied force and takes place in the direction in which the force actsd)The momentum of a body is directly proportional to the applied force and takes place in the direction opposite to the forceCorrect answer is option 'C'. Can you explain this answer?
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