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Force remaining constant, if the mass of body increases, its acceleration is likely to :
- a)Increase
- b)Remain same
- c)Decrease
- d)Sometimes increases and sometimes decreases
Correct answer is option 'C'. Can you explain this answer?
Verified Answer
Force remaining constant, if the mass of body increases, its accelerat...
When the mass of a body increases while keeping the force constant, the acceleration of the body is likely to decrease. This is because acceleration is inversely proportional to mass when force is constant, as described by Newton's second law of motion (F = ma).
- Explanation:
- Increase: Incorrect, as mass and acceleration are inversely proportional when force is constant.
- Remain same: Incorrect, as acceleration changes with mass.
- Decrease: Correct. With increased mass, acceleration decreases.
- Sometimes increases and sometimes decreases: Incorrect; acceleration consistently decreases with increased mass.
- Explanation:
- Increase: Incorrect, as mass and acceleration are inversely proportional when force is constant.
- Remain same: Incorrect, as acceleration changes with mass.
- Decrease: Correct. With increased mass, acceleration decreases.
- Sometimes increases and sometimes decreases: Incorrect; acceleration consistently decreases with increased mass.
Most Upvoted Answer
Force remaining constant, if the mass of body increases, its accelerat...
Explanation:
When the mass of a body increases, its acceleration is likely to decrease. This can be understood by considering Newton's second law of motion, which states that the acceleration of an object is directly proportional to the net force acting on it and inversely proportional to its mass.
Newton's Second Law of Motion:
F = m * a
Where:
F is the net force acting on the object
m is the mass of the object
a is the acceleration of the object
Effect of Increasing Mass:
- When the mass of a body increases, the force required to accelerate it remains constant if the net force acting on it remains constant.
- As the mass increases, the acceleration decreases because the force required to move the increased mass is greater.
- This can be explained by rearranging the equation for Newton's second law:
a = F/m
- As the mass (m) increases, the acceleration (a) decreases because the force (F) remains constant.
Example:
- Consider a car with a certain mass and a certain force applied to it. The acceleration of the car is determined by the ratio of the force to the mass.
- If the mass of the car increases, the same force will result in a smaller acceleration because the mass has increased.
- This can be observed in everyday life as well. For example, it is easier to push a small object with the same force than a larger object because the smaller object has less mass.
Therefore, when the mass of a body increases, its acceleration is likely to decrease.
When the mass of a body increases, its acceleration is likely to decrease. This can be understood by considering Newton's second law of motion, which states that the acceleration of an object is directly proportional to the net force acting on it and inversely proportional to its mass.
Newton's Second Law of Motion:
F = m * a
Where:
F is the net force acting on the object
m is the mass of the object
a is the acceleration of the object
Effect of Increasing Mass:
- When the mass of a body increases, the force required to accelerate it remains constant if the net force acting on it remains constant.
- As the mass increases, the acceleration decreases because the force required to move the increased mass is greater.
- This can be explained by rearranging the equation for Newton's second law:
a = F/m
- As the mass (m) increases, the acceleration (a) decreases because the force (F) remains constant.
Example:
- Consider a car with a certain mass and a certain force applied to it. The acceleration of the car is determined by the ratio of the force to the mass.
- If the mass of the car increases, the same force will result in a smaller acceleration because the mass has increased.
- This can be observed in everyday life as well. For example, it is easier to push a small object with the same force than a larger object because the smaller object has less mass.
Therefore, when the mass of a body increases, its acceleration is likely to decrease.
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