1)Arlene is to walk across a high wire strung horizontally betweentwo buildings

Question

1)Arlene is to walk across a high wire strung horizontally betweentwo buildings 14.0 m apart. The sag in therope when she is at the midpoint is 10.0, as shown in Figure4-42. If her mass is 52.0 kg, what is thetension in the rope at this point? 1 N Figure 4-42A 2)person pushes a 10.0kg lawn mower at constant speed with a force of 72.0 N directed along the handle, which is at an angleof ? = 42.0 to thehorizontal (Fig. 4-45). Figure 4-45 (a) Draw the free-body diagram showingall forces acting on the mower. (Do this on paper. Your instructormay ask you to turn in this diagram.) (b) Calculate the horizontal retarding force on the mower 2 N (c) Calculate the normal force exerted vertically upward on themower by the ground. 3 N (d) Calculate the force the person must exert on the lawn mower toaccelerate it from rest to 1.1 m/s in 2.0seconds (assuming the same retarding force). 4 N

Explanation / Answer

#1   vertical forces balance so .      T sin10 + T sin10 = mg .     T = mg / 2 sin10 = 52*9.80 / 2 sin10 =   1467 N . #2 horizontal retarding force = forcecos42 =    72 * cos42 =    53.51 N .       normal force = force sin42 = 72* sin42 =  48.18 N .     acc = 1.1 / 2 = 0.55 .     total force = ma .     horiz force of person - retarding force = ma .       F cos42  -   53.51 = 10.0 * 0.55 .     F =    79.41 N

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