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Question 24 of 25 Map A sapling learning An overnight rainstorm has caused a maj

ID: 1355511 • Letter: Q

Question

Question 24 of 25 Map A sapling learning An overnight rainstorm has caused a major roadblock. Three massive rocks of mass m 584 kg, m 746 kg and m3 344 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 my. The city calls a local contractor to use a bulldozer to clear the road. The bulldozer applies a constant force to m 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 m to slowly accelerate the group of rocks from the road at 0.400 m/s2? Number 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. Number 12 A Previous Check Answer Next I Exit t B Hint

Explanation / Answer

part a )

applied force on first rock

FA = (total mass ) * a

FA = (584 + 746 + 344)*0.400

FA = 669.6 N

part b )

The force required to accelerate the first rock on its own to 0.400 m/s² would be

584 * 0.400 = 233.6

F12 = FA - 233.6

F12 = 436 N

or F12 = a*(m2+m3)

F12 = 0.400*(746+344)

F12 = 436 N

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