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Statement A: Calculus, a new branch of mathematics was stated by Newton. Statement B: If mass remains same, doubling the force will reduce the acceleration to half. Which of the above two statements is true
  • a)
    statement B
  • b)
    statement A
  • c)
    both a and b
  • d)
    none of these
Correct answer is option 'B'. Can you explain this answer?
Verified Answer
Statement A: Calculus, a new branch of mathematics was stated by Newto...
The branch of mathematics, called Calculus was stated by Newton. Force is the product of mass and acceleration. So, acceleration= force /mass. Doubling of force will increase the acceleration if mass is kept same.
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Statement A: Calculus, a new branch of mathematics was stated by Newto...
Statement A: Calculus, a new branch of mathematics was stated by Newton.

Statement B: If mass remains the same, doubling the force will reduce the acceleration to half.

Correct answer: Statement B

Explanation:

Calculus is not a branch of mathematics stated by Newton. It is a branch of mathematics that was developed independently by both Isaac Newton and Gottfried Wilhelm Leibniz in the late 17th century.

On the other hand, Statement B is true. According to Newton's second law of motion, the relationship between force, mass, and acceleration is given by the equation F = ma, where F is the force applied, m is the mass of the object, and a is the acceleration produced.

If the mass remains the same, doubling the force will indeed reduce the acceleration to half. This can be understood by rearranging the equation:

F = ma

If the mass (m) remains constant and the force (F) is doubled, the equation becomes:

2F = m(1/2)a

Dividing both sides by 2, we get:

F = (1/2)ma

This shows that when the force is doubled, the acceleration is reduced to half.

Therefore, the correct answer is Statement B, which states that if the mass remains the same, doubling the force will reduce the acceleration to half.
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Statement A: Calculus, a new branch of mathematics was stated by Newto...
A
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