A baggage handler at an airport applies a constant horizontal force with magnitu

Question

A baggage handler at an airport applies a constant horizontal force with magnitude F1 to push a box, of mass m, across a rough horizontal surface with a very small constant acceleration a. A.) The baggage handler now pushes a second box, identical to the first, so that it accelerates at a rate of 2a. How does the magnitude of the force F2 that the handler applies to this box compare to the magnitude of the force F1 applied to the first box?B.)Now assume that the baggage handler pushes a third box (Figure 2) of mass m/2 so that it accelerates at a rate of 2a. How does the magnitude of the force F3 that the handler applies to this box compare to the magnitude of the force F1 applied to the first box?

Explanation / Answer

here in part A:

F

case 1 : F1 - mg = ma => F1 = ma + mg

case 2: F2 - mg = 2ma => F2 = 2ma + mg = 2F1 - mg = F1 + ma

so F1 < F2 <- 2F1 ----------<<<<<<<<<<Answer

<- is less than or equal
-----------------------------------------

case 3: F3 - mg/2 = ma

2F3 = 2ma + mg = F1+ma = 2F1 - mg

F1 < 2F3 < 2F1

F1/2 < F3 < F1

0.5 F1 <- F3 <F1 -----<<<<<<<<<<<<<Answer

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