(c) Calculate the normal force exerted vertically upward on the mower by the gro

Question

(c) Calculate the normal force exerted vertically upward on the mower by the ground.
_____________N

(d) Calculate the force the person must exert on the lawn mower to accelerate it from rest to 1.1 m/s in 2.0 seconds (assuming the same retarding force).
_____________N

A person pushes a 17.0 kg lawn mower at constant speed with a force of 70.0 N directed along the handle, which is at an angle of theta = 43.0 degree to the horizontal (Fig. 4-45). uploaded image Figure 4-45 (b) Calculate the horizontal retarding force on the mower N (c) Calculate the normal force exerted vertically upward on the mower by the ground. N (d) Calculate the force the person must exert on the lawn mower to accelerate it from rest to 1.1 m/s in 2.0 seconds (assuming the same retarding force).

Explanation / Answer

Part 1

The horizontal retarding force on the mower = F cos = 70*cos43 = 51.19 N

 

Part 2

 

Normal reaction = 70*g Fsin= 70*sin43 + 166.6 = 214.33N

 

 

Part 3

 

v = u +a*t

 

1.1 = 0 + a*2

 

Thus a = 0.55 m/sec^2

 

Thus Fcos - Retarding force =17*0.55 = 9.35

 

Fcos - 51.19 =17*0.55 = 9.35

 

Thus F=82.778  N

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