Final answer:
The mass of the mobile that accelerates at 456 cm/s² when a force of 6N is applied is approximately 1.316 kg. This is calculated using Newton's second law of motion, with the equation m = F/a.
Step-by-step explanation:
The student is asking how to find the mass of an object when a force is applied to it and it accelerates. This calculation can be done by using Newton's second law of motion, which is commonly written as F = ma, where F is the force applied to the object, m is the mass of the object, and a is the acceleration of the object. To find the mass, we rearrange the formula to m = F/a.
Given the force F is 6 N and the acceleration a is 456 cm/s² (which needs to be converted to meters by dividing by 100 to get 4.56 m/s²), the mass m of the object can be calculated as follows:
m = F / a = 6 N / 4.56 m/s² ≈ 1.316 kg.
Therefore, the mass of the mobile is approximately 1.316 kilograms.