31) This problem asks us to find the resulting acceleration answer option that cannot be possible. There is a 5kg object acted upon by 4 forces each of magnitude 10N. To solve this problem we need to use Newton's Second Law.
In order to find the answer option that is impossible, we can find the range of values which are possible. So, let's try to find the highest possible acceleration.
So the upper bound on our acceleration is 8 m/s^2. Now let's do the same to try to find the lowest magnitude for acceleration.
We can tell that our lower bound for the acceleration is zero. Thus the valid magnitudes of acceleration will be between 0 and 8 m/s^2 inclusive. The only answer choice that doesn't fit this condition is choice E, 10 m/s^2.
Answer: E
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