Answer :
Final answer:
The maximum acceleration for the boulder to get out of the quarry is equal to the acceleration due to gravity, approximately 9.8 m/s².
Explanation:
To calculate the maximum acceleration the boulder can have and still get out of the quarry, we need to consider the forces acting on the system. The force of gravity on the boulder is given by Fg = m * g, where m is the mass of the boulder and g is the acceleration due to gravity. Since the boulder is being raised, the tension in the chain will also act upwards. We can calculate the maximum tension the chain can handle using the formula Fmax = m * a, where Fmax is the maximum tension, m is the mass of the chain, and a is the maximum acceleration. Setting Fg = Fmax, we can solve for a.
Since a = Fmax / m, we have a = (m * g) / m = g. Therefore, the maximum acceleration the boulder can have and still get out of the quarry is equal to the acceleration due to gravity, which is approximately 9.8 m/s².
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