If a 4.3 kg mass is accelerated to 6.0 m/s^2 with a force F, what will be the acceleration of a 0.5 kg mass under the same force?

To determine the acceleration of a 0.5 kg mass under the same force that accelerates a 4.3 kg mass at 6.0 m/s², we first calculate the force exerted on the 4.3 kg mass. According to Newton's second law, force can be calculated using the formula:

[ F = m \cdot a ]

For the 4.3 kg mass:

[ F = 4.3 , \text{kg} \times 6.0 , \text{m/s}^2 = 25.8 , \text{N} ]

Now that we have the force, we can find the acceleration of the 0.5 kg mass using the same force. Rearranging the formula for acceleration gives:

[ a = \frac{F}{m} ]

Using the force we calculated and the mass of 0.5 kg:

[ a = \frac{25.8 , \text{N}}{0.5 , \text{kg}} = 51.6 , \text{m/s}^2 ]

Thus, the acceleration of the 0.5 kg mass under the same force