1, An 8.00-kg box sits on a level floor. You give the box a sharp push and find that it travels 8.22 m in 2.8 s before coming to rest again. (a) You measure that with a different push the box traveled 4.20 m in 2.0 s. Do you think the box has a con- stant acceleration as it slows down? Explain your reasoning. (b) You add books to the box to increase its mass. Repeating the experiment, you give the box a push and measure how long it takes the box to come to rest and how far the box travels. The results, including the initial experiment with no added mass, are given in the table: Added Mass (kg) Distance (m) Time (s) 0 8.22 2.8 3.00 10.75 3.2 7.00 9.45 3.0 12.0 7.10 2.6 In each case, did your push give the box the same initial speed? What is the ratio between the greatest initial speed and the small- est initial speed for these four cases? (c) Is the average horizontal force f exerted on the box by the floor the same in each case? Graph the magnitude of…

10. Refer to Figure. Block A has a mass of 3.00 kg, block B has a mass of 5.00 kg and block C has a mass of 2.00 kg. The pulleys are ideal and there is no friction between block B and the table. What is the acceleration of the masses? A 0.981 m/s B 1.86 m/s2 C 2.94 m/s2 D 4.20 m/s2

A force F produces an acceleration a on an object of mass m. A force 3F is exerted on a second object, and an acceleration 8a results. What is the mass of the second object?  The answer is 3/8 m, but this was a review question but i'm still not 100% sure on why this is the right answer, so could you please explain why this is the right answer and how you found it? thanks!