An overnight rainstorm has caused a major roadblock. Three massive rocks of mass

Question

An overnight rainstorm has caused a major roadblock. Three massive rocks of mass m1 = 584 kg, m2 = 746 kg and m3 = 3.00

An overnight rainstorm has caused a major roadblock. Three massive rocks of mass mi = 584 kg, m2 = 746 kg and m3 = 3.00 times 10 2 kg have blocked a busy road. The rocks are side by side blocking the road and lined up from left to right in order as m1, m2 and m3. The city calls a local contractor to use a bulldozer to clear the road. The bulldozer applies a constant force to mi to slide the rocks off the road. Assuming the road is a flat frictionless surface and the rocks are all in contact, what force, FA, must be applied to m1 to slowly accelerate the group of rocks from the road at 0.100 m/s2? Use the value found above for FA to find the force, F12, exerted by the first rock of mass 584 kg on the middle rock of 746 kg.

Explanation / Answer

OK, the rocks are all in contact, so the total mass m = 584 + 746 + 300 = 1630 kg

From Newton's Second Law, force = mass * acceleration
Fa = 1630 * 0.100 = 163 N

The force required to accelerate the first rock on its own to 0.100 m/s

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