Answer to Question #287372 in Physics for kkey

Question

a force acts on a 2kg mass and gives it an acceleration of 3 m/s^2. What acceleration is produced by the same force when acting on a mass of 4kg?

Answer 1

Determine the force by Newton's second law for the 2-kg body and use this value of force to find the acceleration acquired by the 4-kg body:

$$F=m_1a_1.\\\space\\ a_2=\dfrac F{m_2}=\dfrac{m_1a_1}{m_2}=1.5\text{ m/s}^2.$$