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=598kg, m2=796kg and m3=311kg have blocked a busy road. The city calls a local contractor to use a bulldozer to clear the road. The bulldozer applies a constant force to m1 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 0.100m/s2. Use the value found above fro FA to find the force f12 exerted by the first rock of mass 598kg on the middle rock of 769kg

An overnight rainstorm has caused a major roadblock. Three massive rocks of mass m1 = 598 kg, m2 = 769 kg and m3 = 311 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 m1 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? FA = Use the value found above for FA to find the force, F12, exerted by the first rock of mass 598 kg on the middle rock of 769 kg.F12 =

Explanation / Answer

total mass = 598+769+311 kg = 1678 kg

acceleration = 0.1 m/s^2

so Fa = ma = 1678*0.1 = 167.8 N

m2 and m3 moves with force f12

so f12 = 0.1*(769+311) = 108 N

so F12 = 108 N

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